Back to Search
Start Over
Schur–Weyl duality for infinitesimal q-Schur algebras
- Source :
-
Journal of Algebra . Aug2008, Vol. 320 Issue 3, p1099-1114. 16p. - Publication Year :
- 2008
-
Abstract
- Abstract: Using the result of [S.R. Doty, D.K. Nakano, K.M. Peters, Polynomial representations of Frobenius kernels of , in: Contemp. Math., vol. 194, 1996, pp. 57–67; S. König, C. Xi, When is a cellular algebra quasi-hereditary? Math. Ann. 315 (1999) 281–293], we prove that a non-semisimple infinitesimal Schur algebra is not cellular. Furthermore, we determine the structure of the endomorphism ring of tensor space as a module for the infinitesimal Schur algebra , up to Morita equivalence. Both results generalize to the quantum case. [Copyright &y& Elsevier]
- Subjects :
- *SCHUR complement
*WEYL groups
*ENDOMORPHISMS
*ALGEBRA
Subjects
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 320
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 32738525
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2008.04.025