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Weights of Markov Traces on Hecke algebras

Rosa C. Orellana
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Abstract

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

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Rosa C. Orellana. 1998-06-30. Weights of Markov Traces on Hecke algebras. https://arxiv.org/abs/math/9806163

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