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Schur-Weyl duality for infinitesimal q-Schur algebras s(q)(2, r)(1)

Abstract:

Using the result of [S.R. Doty, D.K. Nakano, K.M. Peters, Polynomial representations of Frobenius kernels of GL, 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 s (2, r) is not cellular. Furthermore, we determine the structure of the endomorphism ring of tensor space as a module for the infinitesimal Schur algebra s (2, r), up to Morita equiva...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher version

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Publisher copy:
10.1016/j.jalgebra.2008.04.025

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Role:
Author
Publisher:
Elsevier B.V. Publisher's website
Journal:
JOURNAL OF ALGEBRA Journal website
Volume:
320
Issue:
3
Pages:
1099-1114
Publication date:
2008-08-01
DOI:
EISSN:
1090-266X
ISSN:
0021-8693
URN:
uuid:aaa28b9e-8e23-45fe-9217-713a2dbd3e85
Source identifiers:
14843
Local pid:
pubs:14843

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