- Tytuł:
- Irreducible Basis for Permutation Representations
- Autorzy:
- Florek, W.
- Powiązania:
- https://bibliotekanauki.pl/articles/2011151.pdf
- Data publikacji:
- 1999-12
- Wydawca:
- Polska Akademia Nauk. Instytut Fizyki PAN
- Tematy:
-
02.20.-a
03.65.Bz - Opis:
- For a given finite group G its permutation representation P, i.e. an action on an n-element set, is considered. Introducing a vector space L as a set of formal linear combinations of | j 〉, 1 ≤ j ≤ n, the representation P is linearized. In general, the representation obtained is reducible, so it is decomposed into irreducible components. Decomposition of L into invariant subspaces is determined by a unitary transformation leading from the basis { | j 〉} to a new, symmetry adapted or irreducible, basis { |Γrγ〉}. This problem is quite generally solved by means of the so-called Sakata matrix. Some possible physical applications are indicated.
- Źródło:
-
Acta Physica Polonica A; 1999, 96, 6; 699-712
0587-4246
1898-794X - Pojawia się w:
- Acta Physica Polonica A
- Dostawca treści:
- Biblioteka Nauki
Artykuł