The finite dimensional irreducible modules for affine walled Brauer algebras

DOI10.1016/j.jalgebra.2021.07.020OpenAlexW3189745950MaRDI QIDQ2049411

Mei Si

Publication date: 25 August 2021

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2021.07.020

zbMATH Keywords

irreducible modulescyclotomic walled Brauer algebrasaffine walled Brauer algebras

Mathematics Subject Classification ID

Group theory and generalizations (20-XX) Associative rings and algebras (16-XX)

Cites Work

• On the classification of finite dimensional irreducible modules for affine BMW algebras.
• The degenerate affine walled Brauer algebra
• The representations of cyclotomic BMW algebras. II.
• A basis theorem for the affine oriented Brauer category and its cyclotomic quotients
• Cellularity of cyclotomic Birman-Wenzl-Murakami algebras
• Polynomial representations of \(\text{GL}_n\). With an appendix on Schensted correspondence and Littelmann paths by K. Erdmann, J. A. Green and M. Schocker.
• Affine walled Brauer algebras and super Schur-Weyl duality
• Highest weight vectors of mixed tensor products of general linear Lie superalgebras
• On the blocks of the walled Brauer algebra.
• On the decomposition of tensor products of the representations of the classical groups: By means of the universal characters
• Cellular algebras
• Remarks on cyclotomic and degenerate cyclotomic BMW algebras.
• The number of simple modules of the Hecke algebras of type \(G(r,1,n)\)
• Characters of the centralizer algebras of mixed tensor representations of \(GL(r,\mathbb{C})\) and the quantum group \({\mathcal U}_ q(gl(r,\mathbb{C}))\)
• Cyclotomic Nazarov-Wenzl Algebras

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