Morita equivalence for cyclotomic BMW algebras
نویسنده
چکیده
Article history: Received 7 March 2013 Available online xxxx Communicated by Changchang Xi
منابع مشابه
Affine and degenerate affine BMW algebras: Actions on tensor space
The affine and degenerate affine Birman-Murakami-Wenzl (BMW) algebras arise naturally in the context of Schur-Weyl duality for orthogonal and symplectic quantum groups and Lie algebras, respectively. Cyclotomic BMW algebras, affine and cyclotomic Hecke algebras, and their degenerate versions are quotients. In this paper we explain how the affine and degenerate affine BMW algebras are tantalizer...
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The degenerate affine and affine BMW algebras arise naturally in the context of SchurWeyl duality for orthogonal and symplectic Lie algebras and quantum groups, respectively. Cyclotomic BMW algebras, affine Hecke algebras, cyclotomic Hecke algebras, and their degenerate versions are quotients. In this paper the theory is unified by treating the orthogonal and symplectic cases simultaneously; we...
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We show that cyclotomic BMW algebras are cellular algebras.
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Cyclotomic Birman–Wenzl–Murakami (BMW) algebras are BMW analogues of cyclotomic Hecke algebras [2, 1]. They were defined by Häring–Oldenburg in [7] and have recently been studied by three groups of mathematicians: Goodman and Hauschild–Mosley [4, 5, 6, 3], Rui, Xu, and Si [9, 8], andWilcox and Yu [10, 11, 12, 13]. A peculiar feature of these algebras is that it is necessary to impose “admissibi...
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تاریخ انتشار 2014