Mathematics – Quantum Algebra
Scientific paper
2009-12-20
Mathematics
Quantum Algebra
Proceedings of International Workshop "Supersymmetries and Quantum Symmetries", Dubna, 2009
Scientific paper
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.
Isaev A. P.
Ogievetsky O. V.
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