BMW algebra, quantized coordinate algebra and type $C$ Schur–Weyl duality
نویسندگان
چکیده
منابع مشابه
Bmw Algebra, Quantized Coordinate Algebra and Type C Schur–weyl Duality
We prove an integral version of the Schur–Weyl duality between the specialized Birman–Murakami–Wenzl algebra Bn(−q , q) and the quantum algebra associated to the symplectic Lie algebra sp2m. In particular, we deduce that this Schur–Weyl duality holds over arbitrary (commutative) ground rings, which answers a question of Lehrer and Zhang ([37]) in the symplectic case. As a byproduct, we show tha...
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The Temperley-Lieb algebra may be thought of as a quotient of the Hecke algebra of type A, acting on tensor space as the commutant of the usual action of quantum sl2 on (C(q) ). We define and study a quotient of the BirmanWenzl-Murakami algebra, which plays an analogous role for the 3-dimensional representation of quantum sl2. In the course of the discussion we prove some general results about ...
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ژورنال
عنوان ژورنال: Representation Theory of the American Mathematical Society
سال: 2011
ISSN: 1088-4165
DOI: 10.1090/s1088-4165-2011-00369-1