On Gelfand-Tsetlin bases for representations of classical Lie algebras

被引：0
|
作者：
Molev, AI [1 ]
机构：
[1] Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia
来源：
FORMAL POWER SERIES AND ALGEBRAIC COMBINATORICS | 2000年
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D O I：
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中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We construct a weight basis for each finite-dimensional irreducible representation of the simple complex Lie algebra g(n) of type B-n, C-n, or D-n. We derive explicit formulas for the matrix elements of generators of the Lie algebra in this basis. The basis vectors are parameterized by the Gelfand-Tsetlin patterns associated with the chain of subalgebras g(1) subset of g(2) subset of...subset of g(n) The construction is based on the representation theory of the Yangians.
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页码：300 / 308
页数：9
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