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Higher level affine Schur and Hecke algebras

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arxiv 1805.02425 v3 pith:5NHNOUYK submitted 2018-05-07 math.RT math.RA

Ruslan Maksimau , Catharina Stroppel This is my paper · ORCID
classification math.RTmath.RA
keywords algebraaffinehigherlevelschurcompletionalgebrashecke
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We define a higher level version of the affine Hecke algebra and prove that, after completion, this algebra is isomorphic to a completion of Webster's tensor product algebra of type A. We then introduce a higher level version of the affine Schur algebra and establish, again after completion, an isomorphism with the quiver Schur algebra. An important observation is that the higher level affine Schur algebra surjects to the Dipper-James-Mathas cyclotomic q-Schur algebra. Moreover, we give nice diagrammatic presentations for all the algebras introduced in this paper.

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  1. Higher-level degenerate spin affine Hecke superalgebras

    math.RT 2026-07 accept novelty 5.5 of 10

    Higher-level degenerate spin affine Hecke superalgebras are isomorphic (after Clifford tensor) to higher-level degenerate affine Hecke–Clifford superalgebras, hence Morita superequivalent.

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