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	Categorification of integrable representations of quantum groups
	Zheng, Hao
	2014
关键词	Categorification quantum groups canonical basis KAC-MOODY ALGEBRAS QUIVER VARIETIES CRYSTAL BASES GEOMETRIC CONSTRUCTION SHEAVES
英文摘要	We categorify the highest weight integrable representations and their tensor products of a symmetric quantum Kac-Moody algebra. As a byproduct, 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.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000335655600001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mathematics, Applied; Mathematics; SCI(E); 中国科技核心期刊(ISTIC); 1; ARTICLE; hzheng@math.pku.edu.cn; 6; 899-932; 30
语种	英语
出处	SCI
出版者	acta mathematica sinica english series
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157354]
专题	数学科学学院
推荐引用方式 GB/T 7714	Zheng, Hao. Categorification of integrable representations of quantum groups. 2014-01-01.

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