Jucys-Murphy elements for Birman-Murakami-Wenzl algebras
classification
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algebrabirman-wenzl-murakamielementsalgebrascommutativejucys--murphybirman-murakami-wenzlbraid
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The Birman-Wenzl-Murakami algebra, considered as the quotient of the braid group algebra, possesses the commutative set of Jucys--Murphy elements. We show that the set of Jucys--Murphy elements is maximal commutative for the generic Birman-Wenzl-Murakami algebra and reconstruct the representation theory of the tower of Birman-Wenzl-Murakami algebras.
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