Jucys-Murphy elements for Birman-Murakami-Wenzl algebras |
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| Authors: | A P Isaev O V Ogievetsky |
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| Institution: | 1.Bogoliubov Laboratory of Theoretical Physics,JINR Dubna,Moscow Region,Russia;2.Center of Theoretical Physics,Luminy,Marseille, France |
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| Abstract: | The Burman-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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