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<f>Z2</f>-graded cocharacters for superalgebras of triangular matrices
- Source :
-
Journal of Pure & Applied Algebra . Nov2004, Vol. 194 Issue 1/2, p193-211. 19p. - Publication Year :
- 2004
-
Abstract
- Let <f>K</f> be a field of characteristic zero, let <f>A</f>, <f>B</f> be <f>K</f>-algebras with polynomial identity and let <f>M</f> be a free <f>(A,B)</f>-bimodule. The algebra <f>R=<fen><cp type="lpar" style="s">A/0 M/B<cp type="rpar" style="s"></fen></f> can be endowed with a natural <f>Z2</f>-grading. In this paper, we compute the graded cocharacter sequence, the graded codimension sequence and the superexponent of <f>R</f>. As a consequence of these results, we also study the above PI-invariants in the setting of upper triangular matrices. In particular, we completely classify the algebra of <f>3×3</f> upper triangular matrices endowed with all possible <f>Z2</f>-gradings. [Copyright &y& Elsevier]
- Subjects :
- *ALGEBRA
*POLYNOMIALS
*MATRICES (Mathematics)
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00224049
- Volume :
- 194
- Issue :
- 1/2
- Database :
- Academic Search Index
- Journal :
- Journal of Pure & Applied Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 14187930
- Full Text :
- https://doi.org/10.1016/j.jpaa.2004.04.004