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Positivity properties for q-Schur algebras.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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  • R. M. Green
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<mark>Journal publication date</mark>11/1997
<mark>Journal</mark>Mathematical Proceedings of the Cambridge Philosophical Society
Issue number3
Volume122
Number of pages14
Pages (from-to)401-414
Publication StatusPublished
<mark>Original language</mark>English

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.

Bibliographic note

http://journals.cambridge.org/action/displayJournal?jid=PSP The final, definitive version of this article has been published in the Journal, Mathematical Proceedings of the Cambridge Philosophical Society, 122 (3), pp 401-414, 1997, © 1997 Cambridge University Press.