Infinitesimal quantum \(\mathfrak{gl}_n\) and little \(q\)-Schur algebras

DOI10.1016/j.jalgebra.2005.01.040zbMath1140.17301OpenAlexW1974201456MaRDI QIDQ1779377

Qiang Fu, Jie Du, Jian-Pan Wang

Publication date: 1 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.01.040

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Related Items (22)

Little \(q\)-Schur algebras at even roots of unity ⋮ A modified BLM approach to quantum affine \({\mathfrak{gl}_n}\) ⋮ Integral affine Schur-Weyl reciprocity ⋮ Presenting affine infinitesimal Schur algebras ⋮ Unnamed Item ⋮ Schur-Weyl duality and centers of quantum Schur algebras ⋮ A COMPARISON OF INFINITESIMAL AND LITTLE q-SCHUR ALGEBRAS ⋮ Tame representation type of infinitesimal \(q\)-Schur algebras. ⋮ The infinitesimal and the little q-Schur superalgebras ⋮ Representation type of the little \(q\)-Schur algebras ⋮ Quantum $$\mathfrak{gl}_n,$$ q-Schur Algebras and Their Infinite/Infinitesimal Counterparts ⋮ Quantum \(\mathfrak{gl}_\infty\), infinite \(q\)-Schur algebras and their representations ⋮ On Schur algebras and little Schur algebras ⋮ Monomial base for little \(q\)-Schur algebra \(u_k(2,r)\) at even roots of unity ⋮ Monomial Bases for Littleq-Schur Algebras at Even Roots of Unity ⋮ MULTIPLICATION FORMULAS AND SEMISIMPLICITY FOR -SCHUR SUPERALGEBRAS ⋮ Presenting q-Schur algebras as quotients of the quantized enveloping algebra of sln ⋮ On the hyperalgebra of the loop algebra \(\hat{\mathfrak{gl}}_n\) ⋮ On bases for infinite little/infinitesimal \(q\)-Schur algebras ⋮ The Cartan Matrix of Littleq-Schur Algebrau_q(2,r) ⋮ On the structure of ${\rm End}_{u_k(2)}(\Omega _k^{\otimes r})$ End uk(2)(Ωk⊗r) ⋮ Presenting Little q-Schur Algebras u_k(2; r)

Cites Work

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• A geometric setting for the quantum deformation of \(\mathrm{GL}_n\)
• Some topics on \(GL_ q(n)\)
• Finite Dimensional Hopf Algebras Arising From Quantized Universal Enveloping Algebras
• Canonical Bases Arising from Quantized Enveloping Algebras
• The q ‐Schur Algebra
• Monomial bases for $q$-Schur algebras
• On Infinitesimal Schur Algebras
• A COMPARISON OF INFINITESIMAL AND LITTLE q-SCHUR ALGEBRAS

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