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- W2964007304 abstract "We realize (via an explicit isomorphism) the walled Brauer algebra B r , t ( δ ) for arbitrary integral parameter δ as an idempotent truncation of a level two cyclotomic degenerate affine walled Brauer algebra. The latter arises naturally in Lie theory as the endomorphism ring of so-called mixed tensor products, i.e. of a parabolic Verma module tensored with some copies of the natural representation and its dual. The result provides a method to construct central elements in the walled Brauer algebra, and also implies the Koszulity of the walled Brauer algebras if δ ≠ 0 ." @default.
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- W2964007304 date "2015-10-01" @default.
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- W2964007304 title "Walled Brauer algebras as idempotent truncations of level 2 cyclotomic quotients" @default.
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- W2964007304 doi "https://doi.org/10.1016/j.jalgebra.2015.06.018" @default.
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