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	The quantum general linear supergroup, canonical bases and Kazhdan-Lusztig polynomials
	Zhang HeChun
	2010-10-12 ; 2010-10-12
关键词	canonical basis crystal basis Kazhdan-Lusztig polynomial CRYSTAL BASES REPRESENTATIONS ALGEBRAS Mathematics, Applied Mathematics
中文摘要	Canonical bases of the tensor powers of the natural U-q(gl(m|n))-module V are constructed by adapting the work of Frenkel, Khovanov and Kirrilov to the quantum supergroup setting. This result is generalized in several directions. We first construct the canonical bases of the Z(2)-graded symmetric algebra of V and tensor powers of this superalgebra; then construct canonical bases for the superalgebra O-q(M-m|n) of a quantum (m,n) x (m,n)-supermatrix; and finally deduce from the latter result the canonical basis of every irreducible tensor module for U-q(gl(m|n)) by applying a quantum analogue of the Borel-Weil construction.
语种	英语 ; 英语
出版者	SCIENCE PRESS ; BEIJING ; 16 DONGHUANGCHENGGEN NORTH ST, BEIJING 100717, PEOPLES R CHINA
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/81192]
专题	清华大学
推荐引用方式 GB/T 7714	Zhang HeChun. The quantum general linear supergroup, canonical bases and Kazhdan-Lusztig polynomials[J],2010, 2010.
APA	Zhang HeChun.(2010).The quantum general linear supergroup, canonical bases and Kazhdan-Lusztig polynomials..
MLA	Zhang HeChun."The quantum general linear supergroup, canonical bases and Kazhdan-Lusztig polynomials".(2010).

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