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arXiv:math/0211289 [math.RT]AbstractReferencesReviewsResources

Gelfand-Tsetlin bases for classical Lie algebras

A. I. Molev

Published 2002-11-19, updated 2002-12-05Version 2

This is a review paper on the Gelfand-Tsetlin type bases for representations of the classical Lie algebras. Different approaches to construct the original Gelfand-Tsetlin bases for representations of the general linear Lie algebra are discussed. Weight basis constructions for representations of the orthogonal and symplectic Lie algebras are reviewed. These rely on the representation theory of the B,C,D type twisted Yangians

Comments: 65 pages, bibliography is extended, minor corrections and changes are made
Journal: in "Handbook of Algebra", Vol. 4, (M. Hazewinkel, Ed.), Elsevier, 2006, pp. 109-170
Categories: math.RT, math-ph, math.MP, math.QA
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