Basis of graded identities of the superalgebra M 1,2(F)

Autor:	I. V. Aver’yanov
Rok vydání:	2009
Předmět:	Combinatorics Pure mathematics Matrix algebra General Mathematics Graded ring Young tableau Order (ring theory) Ideal (ring theory) Basis (universal algebra) Permutation group Superalgebra Mathematics
Zdroj:	Mathematical Notes. 85:467-483
ISSN:	1573-8876 0001-4346
DOI:	10.1134/s0001434609030195
Popis:	Denote by Matk,l(F) the algebraMn(F) of matrices of order n = k + l with the grading (Matk,l0(F),Matk,l1(F)), where Matk,l0(F) admits the basis $$ \{ e_{ij} ,i \leqslant k,j \leqslant k\} \cup \{ e_{ij} ,i > k,j > k\} $$ and Matk,l1(F) admits the basis $$ \{ e_{ij} ,i \leqslant k,j > k\} \cup \{ e_{ij} ,i > k,j \geqslant k\} . $$ . Denote byMk,l(F) the Grassmann envelope of the superalgebra Matk,l(F).
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::8b5a98760dd25c4e7a1c1376f23d8664 https://doi.org/10.1134/s0001434609030195 Zobrazit plný text záznamu Plný text ve formátu PDF