Integral affine Schur-Weyl reciprocity

DOI10.1016/j.aim.2013.03.025zbMath1322.17008arXiv1205.2030OpenAlexW2963380731MaRDI QIDQ392950

Qiang Fu

Publication date: 15 January 2014

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

Full work available at URL: https://arxiv.org/abs/1205.2030

zbMATH Keywords

integral formaffine quantum Schur algebraSchur-Weyl reciprocity

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08) Universal enveloping (super)algebras (17B35) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Schur and (q)-Schur algebras (20G43)

Related Items (10)

On the algebra \(\mathcal{U}( \widehat{\mathfrak{gl}}_n)\) ⋮ Blocks of affine quantum Schur algebras ⋮ BLM realization for 𝒰ℤ(𝔤𝔩 ̂n) ⋮ Presenting affine infinitesimal Schur algebras ⋮ The BLM realization for the integral form of \(U_v(\mathfrak{gl}_{m\mid n})\) ⋮ Presenting affine Schur algebras ⋮ Presenting q-Schur algebras as quotients of the quantized enveloping algebra of sln ⋮ On the hyperalgebra of the loop algebra \(\hat{\mathfrak{gl}}_n\) ⋮ The center of q-Schur algebra U(2,r) ⋮ A REALIZATION OF THE ENVELOPING SUPERALGEBRA

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