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Positivity properties for q-Schur algebras

Published online by Cambridge University Press:  01 November 1997

R. M. GREEN
R. M. GREEN
Affiliation:
Mathematical Institute, Oxford University, 24–29 St. Giles', Oxford OX1 3LB; e-mail: [email protected]
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Abstract

We prove Du's positivity conjecture for the canonical basis of the q-Schur algebra, using elementary arguments and the positivity result for Lusztig's canonical basis for U+q(sln). We also describe a family of subalgebras of the q-Schur algebra, each of which is spanned by the canonical basis elements it contains.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 122 , Issue 3 , November 1997 , pp. 401 - 414
Copyright
Cambridge Philosophical Society 1997

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