Positivity properties for q-Schur algebras.

Green, R. M. (1997) Positivity properties for q-Schur algebras. Mathematical Proceedings of the Cambridge Philosophical Society, 122 (3). pp. 401-414. ISSN 0305-0041

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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.

Item Type:
Journal Article
Journal or Publication Title:
Mathematical Proceedings of the Cambridge Philosophical Society
Additional Information:
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.
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600/2600
Subjects:
?? general mathematicsmathematics(all)qa mathematics ??
ID Code:
19497
Deposited By:
Deposited On:
12 Nov 2008 11:06
Refereed?:
Yes
Published?:
Published
Last Modified:
07 Oct 2024 23:56