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

Di Vincenzo, Onofrio

Serdica Mathematical Journal (2004)

  • Volume: 30, Issue: 2-3, page 111-134
  • ISSN: 1310-6600

Abstract

top
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.

How to cite

top

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 -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.