Crystal base and a generalization of the Littlewood-Richardson rule for the classical Lie algebras期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Crystal base and a generalization of the Littlewood-Richardson rule for the classical Lie algebras

Authors:	Toshiki Nakashima

Affiliation:	(1) Department of Mathematical Science, Faculty of Engineering Science, Osaka University, 560 Toyonaka Osaka, Japan

Abstract:	We shall give a generalization of the Littlewood-Richardson rule forU_q(g) associated with, the classical Lie algebras by use of crystal base. This rule describes explicitly the decomposition of tensor products of given representations.

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