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On decomposition numbers of the cyclotomic q-Schur algebras
- Source :
-
Journal of Algebra . May2007, Vol. 311 Issue 1, p147-177. 31p. - Publication Year :
- 2007
-
Abstract
- Abstract: Let be the cyclotomic q-Schur algebra associated to the Ariki–Koike algebra . We construct a certain subalgebra of , and show that it is a standardly based algebra in the sense of Du and Rui. has a natural quotient , which turns out to be a cellular algebra. In the case where the modified Ariki–Koike algebra is defined, coincides with the cyclotomic q-Schur algebra associated to . In this paper, we discuss a relationship among the decomposition numbers of , and . In particular, we show that some important part of the decomposition matrix of coincides with a part of the decomposition matrix of . [Copyright &y& Elsevier]
- Subjects :
- *MATHEMATICS
*ALGEBRA
*MATHEMATICAL analysis
*MATRICES (Mathematics)
Subjects
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 311
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 24457822
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2006.11.032