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arXiv:0803.3668 [math.RT]AbstractReferencesReviewsResources

Categorification of integrable representations of quantum groups

Hao Zheng

Published 2008-03-26, updated 2008-04-23Version 2

We categorify the highest weight integrable representations and their tensor products of a symmetric quantum Kac-Moody algebra. As byproducts, we obtain a geometric realization of Lusztig's canonical bases of these representations as well as a new positivity result. The main ingredient in the underlying geometric construction is a class of micro-local perverse sheaves on quiver varieties.

Comments: 35pages, v2: minor revisions, typo fixed
Categories: math.RT, math.QA
Subjects: 17B37, 18F20
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