- Tytuł:
- Hermitian and quadratic forms over local classical crossed product orders
- Autorzy:
-
Hatzaras, Y.
Theohari-Apostolidi, Th. - Powiązania:
- https://bibliotekanauki.pl/articles/965780.pdf
- Data publikacji:
- 2000
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
crossed-product order
quadratic form - Opis:
- Let R be a complete discrete valuation ring with quotient field K, L/K be a Galois extension with Galois group G and S be the integral closure of R in L. If a is a factor set of G with values in the group of units of S, then (L/K,a) (resp. Λ =(S/R,a)) denotes the crossed product K-algebra (resp. crossed product R -order in A). In this paper hermitian and quadratic forms on Λ -lattices are studied and the existence of at most two irreducible non-singular quadratic Λ -lattices is proved (Theorem 3.5). Further the orthogonal decomposition of an arbitrary non-singular quadratic Λ -lattice is given.
- Źródło:
-
Colloquium Mathematicum; 2000, 83, 1; 43-53
0010-1354 - Pojawia się w:
- Colloquium Mathematicum
- Dostawca treści:
- Biblioteka Nauki
Artykuł