Informacja

Drogi użytkowniku, aplikacja do prawidłowego działania wymaga obsługi JavaScript. Proszę włącz obsługę JavaScript w Twojej przeglądarce.

English (EN)·Polski (PL)·Yкраїнський (UK)
Przejdź do strony domowej biblioteki Centralna Biblioteka Wojskowa Link otwiera się w nowym oknie Logo biblioteki Prolib Integro - strona głównaCentralna Biblioteka Wojskowa

Wyszukujesz frazę "Lie algebra" wg kryterium: Temat

  Lista filtrów
Wyrównaj
    Wyświetlanie 1-11 z 11
    Tytuł:
    Differential Batalin-Vilkovisky algebras arising from twilled Lie-Rinehart algebras
    Autorzy:
    Huebschmann, Johannes
    Powiązania:
    https://bibliotekanauki.pl/articles/1207674.pdf
    Data publikacji:
    2000
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    differential graded Lie algebra
    twilled Lie-Rinehart algebra
    Lie-Rinehart algebra
    Batalin-Vilkovisky algebra
    Gerstenhaber algebra
    mirror conjecture
    Calabi-Yau manifold
    Lie bialgebra
    Opis:
    Twilled L(ie-)R(inehart)-algebras generalize, in the Lie-Rinehart context, complex structures on smooth manifolds. An almost complex manifold determines an "almost twilled pre-LR algebra", which is a true twilled LR-algebra iff the almost complex structure is integrable. We characterize twilled LR structures in terms of certain associated differential (bi)graded Lie and G(erstenhaber)-algebras; in particular the G-algebra arising from an almost complex structure is a (strict) d(ifferential) G-algebra iff the almost complex structure is integrable. Such G-algebras, endowed with a generator turning them into a B(atalin-)V(ilkovisky)-algebra, occur on the B-side of the mirror conjecture. We generalize a result of Koszul to those dG-algebras which arise from twilled LR-algebras. A special case thereof explains the relationship between holomorphic volume forms and exact generators for the corresponding dG-algebra and thus yields in particular a conceptual proof of the Tian-Todorov lemma. We give a differential homological algebra interpretation for twilled LR-algebras and by means of it we elucidate the notion of a generator in terms of homological duality for differential graded LR-algebras.
    Źródło:
    Banach Center Publications; 2000, 51, 1; 87-102
    0137-6934
    Pojawia się w:
    Banach Center Publications
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Left-covariant differential calculi on $SL_{q}(N)$
    Autorzy:
    Schmüdgen, Konrad
    Schüler, Axel
    Powiązania:
    https://bibliotekanauki.pl/articles/1342724.pdf
    Data publikacji:
    1997
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    quantum Lie algebra
    noncommutative differential calculus
    Opis:
    We study $N^{2} - 1$ dimensional left-covariant differential calculi on the quantum group $SL_q(N)$. In this way we obtain four classes of differential calculi which are algebraically much simpler as the bicovariant calculi. The algebra generated by the left-invariant vector fields has only quadratic-linear relations and posesses a Poincaré-Birkhoff-Witt basis. We use the concept of universal (higher order) differential calculus associated with a given left-covariant first order differential calculus. It turns out that the space of left-invariant k-forms has the dimension $N^{2} - 1\choose k$ as in the case of the corresponding classical Lie group SL(N).
    Źródło:
    Banach Center Publications; 1997, 40, 1; 185-191
    0137-6934
    Pojawia się w:
    Banach Center Publications
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On Lie algebras in braided categories
    Autorzy:
    Pareigis, Bodo
    Powiązania:
    https://bibliotekanauki.pl/articles/1342720.pdf
    Data publikacji:
    1997
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    braided category
    universal enveloping algebra
    braided Hopf algebra
    graded Lie algebra
    Opis:
    The category of group-graded modules over an abelian group $G$ is a monoidal category. For any bicharacter of $G$ this category becomes a braided monoidal category. We define the notion of a Lie algebra in this category generalizing the concepts of Lie super and Lie color algebras. Our Lie algebras have $n$-ary multiplications between various graded components. They possess universal enveloping algebras that are Hopf algebras in the given category. Their biproducts with the group ring are noncommutative noncocommutative Hopf algebras some of them known in the literature. Conversely the primitive elements of a Hopf algebra in the category form a Lie algebra in the above sense.
    Źródło:
    Banach Center Publications; 1997, 40, 1; 139-158
    0137-6934
    Pojawia się w:
    Banach Center Publications
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On Lie algebras of vector fields related to Riemannian foliations
    Autorzy:
    Rybicki, Tomasz
    Powiązania:
    https://bibliotekanauki.pl/articles/1311816.pdf
    Data publikacji:
    1993
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    Riemannian foliation
    Lie algebra
    ideal
    isomorphism
    vector field
    generalized manifold
    stratification
    Opis:
    Riemannian foliations constitute an important type of foliated structures. In this note we prove two theorems connecting the algebraic structure of Lie algebras of foliated vector fields with the smooth structure of a Riemannian foliation.
    Źródło:
    Annales Polonici Mathematici; 1993, 58, 2; 111-122
    0066-2216
    Pojawia się w:
    Annales Polonici Mathematici
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A note on semidirect sum of Lie algebras
    Autorzy:
    Ostrowski, Tadeusz
    Powiązania:
    https://bibliotekanauki.pl/articles/729075.pdf
    Data publikacji:
    2013
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    Lie algebra
    subalgebra
    ideal
    center
    semidirect sum
    homomorphism
    derivation
    Killing form
    Opis:
    In the paper there are investigated some properties of Lie algebras, the construction which has a wide range of applications like computer sciences (especially to computer visions), geometry or physics, for example. We concentrate on the semidirect sum of algebras and there are extended some theoretic designs as conditions to be a center, a homomorphism or a derivative. The Killing form of the semidirect sum where the second component is an ideal of the first one is considered as well.
    Źródło:
    Discussiones Mathematicae - General Algebra and Applications; 2013, 33, 2; 233-247
    1509-9415
    Pojawia się w:
    Discussiones Mathematicae - General Algebra and Applications
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Local error structures and order conditions in terms of Lie elements for exponential splitting schemes
    Autorzy:
    Auzinger, W.
    Herfort, W.
    Powiązania:
    https://bibliotekanauki.pl/articles/255869.pdf
    Data publikacji:
    2014
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    exponential splitting schemes
    local error
    defect
    order conditions
    free Lie algebra
    Opis:
    We discuss the structure of the local error of exponential operator splitting methods. In particular, it is shown that the leading error term is a Lie element, i.e., a linear combination of higher-degree commutators of the given operators. This structural assertion can be used to formulate a simple algorithm for the automatic generation of a minimal set of polynomial equations representing the order conditions, for the general case as well as in symmetric settings.
    Źródło:
    Opuscula Mathematica; 2014, 34, 2; 243-256
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Integrable three-dimensional coupled nonlinear dynamical systems related with centrally extended operator Lie algebras
    Autorzy:
    Hentosh, O. Ye.
    Prykarpatsky, A. K.
    Powiązania:
    https://bibliotekanauki.pl/articles/255480.pdf
    Data publikacji:
    2007
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    centrally extended operator Lie algebra
    Lax-type flows
    Backlund transformation
    "ghost" symmetries
    Opis:
    A hierarchy of Lax-type flows on a dual space to the centrally extended Lie algebra of integral-differential operators with matrix-valued coefficients is considered. By means of a specially constructed Backlund transforniation the Hamiltonian representations for these flows coupled with suitable eigenfunctions and adjoint eigenfunctions evolutions of associated spectral problems are obtained. The Hamiltonian description of the corresponding set of additional symmetry hierarchies is represented. The relation of these hierarchies with Lax integrable (3+1)-dimensional nonlinear dynamical systems and their triple Lax-type linearizations is analysed.
    Źródło:
    Opuscula Mathematica; 2007, 27, 2; 231-244
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On roots of the automorphism group of a circular domain in $ℂ^n$
    Autorzy:
    Myszewski, Jan
    Powiązania:
    https://bibliotekanauki.pl/articles/1312644.pdf
    Data publikacji:
    1991
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    circular domain
    automorphism group
    maximal torus
    Lie algebra
    adjoint representation
    root
    root subspace
    Opis:
    We study the properties of the group Aut(D) of all biholomorphic transformations of a bounded circular domain D in $ℂ^n$ containing the origin. We characterize the set of all possible roots for the Lie algebra of Aut(D). There exists an n-element set P such that any root is of the form α or -α or α-β for suitable α,β ∈ P.
    Źródło:
    Annales Polonici Mathematici; 1991, 55, 1; 269-276
    0066-2216
    Pojawia się w:
    Annales Polonici Mathematici
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Pseudotopologies with applications to one-parameter groups, von Neumann algebras, and Lie algebra representations
    Autorzy:
    Rusinek, Jan
    Powiązania:
    https://bibliotekanauki.pl/articles/1292446.pdf
    Data publikacji:
    1993
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    pseudotopology
    continuity
    composition of operators
    differentiability
    one-parameter semigroup
    von Neumann algebra
    integration
    Lie algebra representation
    Opis:
    For any pair E,F of pseudotopological vector spaces, we endow the space L(E,F) of all continuous linear operators from E into F with a pseudotopology such that, if G is a pseudotopological space, then the mapping L(E,F) × L(F,G) ∋ (f,g) → gf ∈ L(E,G) is continuous. We use this pseudotopology to establish a result about differentiability of certain operator-valued functions related with strongly continuous one-parameter semigroups in Banach spaces, to characterize von Neumann algebras, and to establish a result about integration of Lie algebra representations.
    Źródło:
    Studia Mathematica; 1993, 107, 3; 273-286
    0039-3223
    Pojawia się w:
    Studia Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Extended Lie algebraic stability analysis for switched systems with continuous-time and discrete–time subsystems
    Autorzy:
    Zhai, G.
    Xu, X.
    Lin, H.
    Liu, D.
    Powiązania:
    https://bibliotekanauki.pl/articles/929816.pdf
    Data publikacji:
    2007
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    układ komutowany
    funkcja Lapunowa
    algebra Lie'go
    stateczność wykładnicza
    switched systems
    common quadratic Lyapunov functions
    Lie algebra
    exponential stability
    arbitrary switching
    dwell time scheme
    Opis:
    We analyze stability for switched systems which are composed of both continuous-time and discrete-time subsystems. By considering a Lie algebra generated by all subsystem matrices, we show that if all subsystems are Hurwitz/Schur stable and this Lie algebra is solvable, then there is a common quadratic Lyapunov function for all subsystems and thus the switched system is exponentially stable under arbitrary switching. When not all subsystems are stable and the same Lie algebra is solvable, we show that there is a common quadratic Lyapunov-like function for all subsystems and the switched system is exponentially stable under a dwell time scheme. Two numerical examples are provided to demonstrate the result.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2007, 17, 4; 447-454
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Topological realization of a family of pseudoreflection groups
    Autorzy:
    Notbohm, Dietrich
    Powiązania:
    https://bibliotekanauki.pl/articles/1205400.pdf
    Data publikacji:
    1998
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    pseudoreflection groups
    p-compact group
    classifying spaces
    compact Lie group
    polynomial algebra
    Opis:
    We are interested in a topological realization of a family of pseudoreflection groups $G ⊂ GL(n,{\sym F}_p )$; i.e. we are looking for topological spaces whose mod-p cohomology is isomorphic to the ring of invariants ${\sym F}_p [x_1,..., x_n]^G$. Spaces of this type give partial answers to a problem of Steenrod, namely which polynomial algebras over ${\sym F}_p $ can appear as the mod-p cohomology of a space. The family under consideration is given by pseudoreflection groups which are subgroups of the wreath product $ℤ/q ≀Σ_n$ where q divides p - 1 and where p is odd. Let G be such a subgroup acting on the polynomial algebra $A:= {\sym F}_p [x_1,..., x_n]$. We show that there exists a space X such that $H*(X;{\sym F}_p )≅ A^G$ which is again a polynomial algebra. Examples of polynomial algebras of this form are given by the mod-p cohomology of the classifying spaces of special orthogonal groups or of symplectic groups.
     The construction uses products of classifying spaces of unitary groups as building blocks which are glued together via information encoded in a full subcategory of the orbit category of the group G. Using this construction we also show that the homotopy type of the p-adic completion of these spaces is completely determined by the mod-p cohomology considered as an algebra over the Steenrod algebra. Moreover, we calculate the set of homotopy classes of self maps of the completed spaces.
    Źródło:
    Fundamenta Mathematicae; 1998, 155, 1; 1-31
    0016-2736
    Pojawia się w:
    Fundamenta Mathematicae
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-11 z 11

      Ta witryna wykorzystuje pliki cookies do przechowywania informacji na Twoim komputerze. Pliki cookies stosujemy w celu świadczenia usług na najwyższym poziomie, w tym w sposób dostosowany do indywidualnych potrzeb. Korzystanie z witryny bez zmiany ustawień dotyczących cookies oznacza, że będą one zamieszczane w Twoim komputerze. W każdym momencie możesz dokonać zmiany ustawień dotyczących cookies