English

Weights of Markov Traces on Hecke algebras

Combinatorics 2007-05-23 v1 Quantum Algebra

Abstract

We compute the weights, i.e. the values at the minimal idempotents, for the Markov trace on the Hecke algebra of type BB and type DD. In order to prove the weight formula, we define representations of the Hecke algebra of type BB onto a reduced Hecke algebre of type AA. To compute the weights for type DD we use the inclusion of the Hecke algebra of type DD into the Hecke algebra of type BB.

Keywords

Cite

@article{arxiv.math/9806163,
  title  = {Weights of Markov Traces on Hecke algebras},
  author = {Rosa C. Orellana},
  journal= {arXiv preprint arXiv:math/9806163},
  year   = {2007}
}

Comments

23 pages. see also http://math.ucsd.edu/~rorellan/