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arxiv: 1305.2347 · v1 · pith:BTPU6KFRnew · submitted 2013-05-10 · 🧮 math.RT

The degenerate affine walled Brauer algebra

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keywords algebraaffinedegeneratebrauerlevelprovewalledappear
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We define a degenerate affine version of the walled Brauer algebra, that has the same role plaid by the degenerate affine Hecke algebra for the symmetric group algebra. We use it to prove a higher level mixed Schur-Weyl duality for gl_N. We consider then families of cyclotomic quotients of level two which appear naturally in Lie theory and we prove that they inherit from there a natural grading and a graded cellular structure.

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