Characteristic maps for the Brauer algebra.

DOI10.1007/S10801-012-0388-7zbMath1279.20058arXiv1112.0620OpenAlexW1990054654MaRDI QIDQ356725

Mohammad Hasan, M. Dambrine

Publication date: 26 July 2013

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.0620

zbMATH Keywords

Lie groupssymmetric functionsBrauer algebrascharacters of symmetric groupsSchur-Weyl dualitySchur polynomialscharacteristic mapsorthogonal Lie algebrassymplectic Lie algebras

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Lie algebras of linear algebraic groups (17B45)

Related Items (2)

Affine and degenerate affine BMW algebras: actions on tensor space ⋮ Casimir elements from the Brauer-Schur-Weyl duality

Cites Work

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• Affine and degenerate affine BMW algebras: the center
• A New Fusion Procedure for the Brauer Algebra and Evaluation Homomorphisms
• Fusion procedure for the Brauer algebra
• Dimensions of irreducible representations of the classical Lie groups
• A Littlewood-Richardson rule for factorial Schur functions

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