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arXiv · 0803.3668

Categorification of integrable representations of quantum groups

Hao Zheng
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Abstract

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.

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BibTeXRIS

Hao Zheng. 2008-03-26. Categorification of integrable representations of quantum groups. https://doi.org/10.1007/s10114-014-3631-4

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