Quantum $$\mathfrak{gl}_n,$$ q-Schur Algebras and Their Infinite/Infinitesimal Counterparts
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Publication:3015530
DOI10.1007/978-0-8176-4697-4_5zbMath1242.17015OpenAlexW126690502MaRDI QIDQ3015530
Publication date: 13 July 2011
Published in: Representation Theory of Algebraic Groups and Quantum Groups (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-0-8176-4697-4_5
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Universal enveloping (super)algebras (17B35) Simple, semisimple, reductive (super)algebras (17B20) Schur and (q)-Schur algebras (20G43)
Cites Work
- A geometric setting for the quantum deformation of \(\mathrm{GL}_n\)
- Little \(q\)-Schur algebras at even roots of unity
- A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
- Representations of Coxeter groups and Hecke algebras
- Hall algebras and quantum groups
- Some topics on \(GL_ q(n)\)
- Quantum Weyl reciprocity and tilting modules
- Linear quivers and the geometric setting of quantum \(\mathrm{GL}_n\).
- Aperiodicity in quantum affine \(\mathfrak g\mathfrak l_n\)
- Infinitesimal quantum \(\mathfrak{gl}_n\) and little \(q\)-Schur algebras
- Finite Dimensional Hopf Algebras Arising From Quantized Universal Enveloping Algebras
- Canonical Bases Arising from Quantized Enveloping Algebras
- Monomial bases for $q$-Schur algebras
- On Infinitesimal Schur Algebras
- A COMPARISON OF INFINITESIMAL AND LITTLE q-SCHUR ALGEBRAS
- Introduction to quantum groups
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