A q-analogue of an identity of N. Wallach

Details A q-analogue of an identity of N. Wallach A q-analogue of an identity of N. Wallach

2003-11-11

arxiv.org/abs/math/0311158v1

Mathematics

Quantum Algebra

5 pages

Scientific paper

N.Wallach has considered an element of the group algebra of the symmetric
group S_n which is the sum of an n-cycle, an (n-1)-cycle,...,a 2-cycle and the
identity. He showed that multiplication by this element has eigenvalues
0,1,2,...,n-2,n. We prove a q-analogue of this result in which the group
algebra of S_n is replaced by the corresponding Hecke algebra.

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