The q-analogue of the alternating groups and its representations

Details The q-analogue of the alternating groups and its representations The q-analogue of the alternating groups and its representations

1999-12-15

arxiv.org/abs/math/9912121v1

Mathematics

Quantum Algebra

23 pages

Scientific paper

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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