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The q-analogue of the alternating groups and its representations

Hideo Mitsuhashi
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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.

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Hideo Mitsuhashi. 1999-12-15. The q-analogue of the alternating groups and its representations. https://arxiv.org/abs/math/9912121

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