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Some power series involving involutions in Coxeter groups

Representation Theory 2014-11-17 v2

Abstract

Let W be a Coxeter group. We show that a certain power series involving a sum over all involutions in W can be expressed in terms of the Poincare series of W. (The case where W is finite is already known,)

Keywords

Cite

@article{arxiv.1411.3233,
  title  = {Some power series involving involutions in Coxeter groups},
  author = {G. Lusztig},
  journal= {arXiv preprint arXiv:1411.3233},
  year   = {2014}
}

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10 pages