Representations of the Lie algebra gl(infinity)^ and ``reciprocity formula'' for Clebsch-Gordan coefficients

1997/02/10 by Boris Shoikhet, Shoikhet, Boris
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Advanced Mathematical Identities

paper · pdf · doi:10.48550/arxiv.q-alg/9702013

Abstract

We compare two approaches to the calculation of irreducible characters of the Lie algebra gl(infinity)^ with negative integral central charge. As a consequence, we obtain a "reciprocity formula" for Clebsch-Gordan coefficients, in the limit when the central charge tends to infinity.

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