English

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

q-alg 2008-02-03 v1 Quantum Algebra

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.

Keywords

Cite

@article{arxiv.q-alg/9702013,
  title  = {Representations of the Lie algebra gl(infinity)^ and ``reciprocity formula'' for Clebsch-Gordan coefficients},
  author = {Boris Shoikhet},
  journal= {arXiv preprint arXiv:q-alg/9702013},
  year   = {2008}
}

Comments

10 pages, Latex