English

The q-analogue of the alternating groups and its representations

Quantum Algebra 2007-05-23 v1 Representation Theory

Abstract

We construct a subalgebra of the Hecke algebra of type A. This is a generalization of the group algebra of the alternating groups. All the equivalent classes of irreducible representations of the subalgebra and the q-analogue of the branching rule between symmetric groups and alternating groups is obtained.

Cite

@article{arxiv.math/9912121,
  title  = {The q-analogue of the alternating groups and its representations},
  author = {Hideo Mitsuhashi},
  journal= {arXiv preprint arXiv:math/9912121},
  year   = {2007}
}

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23 pages