Cellular and quasihereditary structures of generalized quantized Schur algebras

Details Cellular and quasihereditary structures of generalized quantized Schur algebras Cellular and quasihereditary structures of generalized quantized Schur algebras

2010-12-29

arxiv.org/abs/1012.5983v1

Mathematics

Quantum Algebra

35 pages

Scientific paper

We give a self-contained derivation of a new cellular basis of generalized quantized Schur algebras, independent of the theory of quantum groups. As a consequence, we obtain a new proof of the fact that these algebras are quasihereditary over a general ground field of characteristic zero, for any choice of parameter including roots of unity. Previous proofs of this result relied on a descent from a quantized enveloping algebra and the existence of the canonical basis of its positive part.

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