Z2-Graded Polynomial Identities for Superalgebras of Block-Triangular Matrices
Serdica Mathematical Journal, Tome 30 (2004) no. 2-3, pp. 111-134
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We present some results about the Z2-graded polynomial identities of block-triangular matrix superalgebras R[[A M],[0 B]]. In particular, we describe conditions for the T2-ideal of a such superalgebra to be factorable as the product T2(A)T2(B). Moreover, we give formulas for computing the sequence of the graded cocharacters of R in some interesting case.
Keywords:
Graded Cocharacter Sequence, Triangular Matrices, Superalgebra, Polynomial Identity
@article{SMJ2_2004_30_2-3_a1,
author = {Di Vincenzo, Onofrio},
title = {Z2-Graded {Polynomial} {Identities} for {Superalgebras} of {Block-Triangular} {Matrices}},
journal = {Serdica Mathematical Journal},
pages = {111--134},
publisher = {mathdoc},
volume = {30},
number = {2-3},
year = {2004},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SMJ2_2004_30_2-3_a1/}
}
TY - JOUR AU - Di Vincenzo, Onofrio TI - Z2-Graded Polynomial Identities for Superalgebras of Block-Triangular Matrices JO - Serdica Mathematical Journal PY - 2004 SP - 111 EP - 134 VL - 30 IS - 2-3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SMJ2_2004_30_2-3_a1/ LA - en ID - SMJ2_2004_30_2-3_a1 ER -
Di Vincenzo, Onofrio. Z2-Graded Polynomial Identities for Superalgebras of Block-Triangular Matrices. Serdica Mathematical Journal, Tome 30 (2004) no. 2-3, pp. 111-134. http://geodesic.mathdoc.fr/item/SMJ2_2004_30_2-3_a1/