BLM realization for the integral form of quantum 𝔤𝔩n

DOI10.1142/S0219199715500194zbMath1322.17009arXiv1211.0671OpenAlexW1961787346MaRDI QIDQ2950146

Qiang Fu

Publication date: 8 October 2015

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.0671

zbMATH Keywords

\(q\)-Schur algebrasrealizationquantum \(\mathfrak{gl}_{n}\)

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08) Schur and (q)-Schur algebras (20G43)

Related Items

The BLM realization for the integral form of \(U_v(\mathfrak{gl}_{m\mid n})\) ⋮ Presenting affine Schur algebras ⋮ Quantum affine \(\mathfrak{gl}_n\) via Hecke algebras ⋮ On the hyperalgebra of the loop algebra \(\hat{\mathfrak{gl}}_n\)

Cites Work

• A modified BLM approach to quantum affine \({\mathfrak{gl}_n}\)
• A geometric setting for the quantum deformation of \(\mathrm{GL}_n\)
• A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
• Hall algebras and quantum groups
• Some topics on \(GL_ q(n)\)
• The q ‐Schur Algebra
• q-Tensor Space and q-Weyl Modules