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Preprint, Working Paper, ... |
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| Title: |
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Jucys-Murphy elements for Birman-Murakami-Wenzl algebras |
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| Author(s): |
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A. P. Isaev, O. V. Ogievetsky 1 |
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| Laboratory: |
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| Abstract: |
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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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| Fulltext language: |
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English |
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| Production date: |
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2009-12-20 |
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| Comment: |
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Proceedings of International Workshop "Supersymmetries and Quantum Symmetries", Dubna, 2009 |
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