Z2-Graded Polynomial Identities for Superalgebras of Block-Triangular Matrices

Di Vincenzo, Onofrio. "Z2-Graded Polynomial Identities for Superalgebras of Block-Triangular Matrices." Serdica Mathematical Journal 30.2-3 (2004): 111-134. <http://eudml.org/doc/219648>.

@article{DiVincenzo2004,
abstract = {000 Mathematics Subject Classification: Primary 16R50, Secondary 16W55.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.Partially supported by MURST COFIN 2003 and Università di Bari.},
author = {Di Vincenzo, Onofrio},
journal = {Serdica Mathematical Journal},
keywords = {Graded Cocharacter Sequence; Triangular Matrices; Superalgebra; Polynomial Identity; graded cocharacter sequences; block triangular matrices; superalgebras; polynomial identities},
language = {eng},
number = {2-3},
pages = {111-134},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Z2-Graded Polynomial Identities for Superalgebras of Block-Triangular Matrices},
url = {http://eudml.org/doc/219648},
volume = {30},
year = {2004},
}

TY - JOUR
AU - Di Vincenzo, Onofrio
TI - Z2-Graded Polynomial Identities for Superalgebras of Block-Triangular Matrices
JO - Serdica Mathematical Journal
PY - 2004
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 30
IS - 2-3
SP - 111
EP - 134
AB - 000 Mathematics Subject Classification: Primary 16R50, Secondary 16W55.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.Partially supported by MURST COFIN 2003 and Università di Bari.
LA - eng
KW - Graded Cocharacter Sequence; Triangular Matrices; Superalgebra; Polynomial Identity; graded cocharacter sequences; block triangular matrices; superalgebras; polynomial identities
UR - http://eudml.org/doc/219648
ER -