Affine walled Brauer algebras and super Schur-Weyl duality

DOI10.1016/j.aim.2015.07.018zbMath1356.17012arXiv1305.0450OpenAlexW1142888512MaRDI QIDQ887298

Yucai Su, Hebing Rui

Publication date: 28 October 2015

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.0450

zbMATH Keywords

affine walled Brauer algebralevel two walled Brauer algebrasuper Schur-Weyl duality

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Hecke algebras and their representations (20C08) Simple, semisimple, reductive (super)algebras (17B20) Schur and (q)-Schur algebras (20G43)

Related Items (12)

Affine oriented Frobenius Brauer categories ⋮ Rewriting modulo isotopies in pivotal linear \((2,2)\)-categories ⋮ Rewriting in higher dimensional linear categories and application to the affine oriented Brauer category ⋮ Highest weight vectors of mixed tensor products of general linear Lie superalgebras ⋮ Defining an affine partition algebra ⋮ Supersymmetric polynomials and the center of the walled Brauer algebra ⋮ Affine walled Brauer-Clifford superalgebras ⋮ The first fundamental theorem of invariant theory for the orthosymplectic supergroup ⋮ Walled Brauer algebras as idempotent truncations of level 2 cyclotomic quotients. ⋮ On the definition of Heisenberg category ⋮ The finite dimensional irreducible modules for affine walled Brauer algebras ⋮ The affine VW supercategory

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