Symplectic \(q\)-Schur algebras.

DOI10.1016/j.jalgebra.2005.07.030zbMath1118.20047OpenAlexW2006415709MaRDI QIDQ855339

Sebastian Oehms

Publication date: 7 December 2006

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.07.030

zbMATH Keywords

quantised Schur algebrasquantum symplectic bideterminantssymplectic Schur algebrassymplectic straightening formula

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representation theory for linear algebraic groups (20G05) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

Related Items

A bideterminant basis for a reductive monoid, Tilting modules, dominant dimensions and Brauer-Schur-Weyl duality, BMW algebra, quantized coordinate algebra and type 𝐶 Schur–Weyl duality

Cites Work

• Combinatorics and the Schur algebra
• Symplectic standard tableaux
• Quantum groups and quantum determinants
• The diamond lemma for ring theory
• Cyclotomic \(q\)-Schur algebras
• Quantum deformation of classical groups
• Polynomial representations, algebraic monoids, and Schur algebras of classical type
• Cellular algebras
• Quantum GL_n
• The q ‐Schur Algebra
• q-Tensor Space and q-Weyl Modules
• Representations of symplectic groups and the symplectic tableaux of R. C. King
• Presenting generalized 𝑞-Schur algebras
• Braids, Link Polynomials and a New Algebra
• Centralizer coalgebras, FRT-construction, and symplectic monoids
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