Affine Hecke algebras and generalizations of quiver Hecke algebras of type B
2020 ◽
Vol 63
(2)
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pp. 531-578
AbstractWe define and study cyclotomic quotients of affine Hecke algebras of type B. We establish an isomorphism between direct sums of blocks of these algebras and a generalization, for type B, of cyclotomic quiver Hecke algebras, which are a family of graded algebras closely related to algebras introduced by Varagnolo and Vasserot. Inspired by the work of Brundan and Kleshchev, we first give a family of isomorphisms for the corresponding result in type A which includes their original isomorphism. We then select a particular isomorphism from this family and use it to prove our result.
2008 ◽
Vol 11
(4)
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pp. 369-405
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2011 ◽
Vol 185
(3)
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pp. 593-693
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2006 ◽
Vol 82
(8)
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pp. 131-136
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2004 ◽
Vol 25
(8)
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pp. 1345-1376
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2005 ◽
Vol 1
(4)
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pp. 827-850