A modified BLM approach to quantum affine \({\mathfrak{gl}_n}\)

DOI10.1007/S00209-009-0596-6zbMath1211.17015OpenAlexW2031717698MaRDI QIDQ604217

Jie Du, Qiang Fu

Publication date: 10 November 2010

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-009-0596-6

Mathematics Subject Classification ID

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

Related Items (17)

Affine quasi-heredity of affine Schur algebras ⋮ Identification of simple representations for affine \(q\)-Schur algebras ⋮ BLM realization for the integral form of quantum 𝔤𝔩_n ⋮ A realisation of the quantum supergroup \(U(\mathfrak{gl}_{m|n})\) ⋮ BLM realization for 𝒰ℤ(𝔤𝔩 ̂n) ⋮ Presenting affine infinitesimal Schur algebras ⋮ The comultiplication of modified quantum affine 𝔰𝔩n ⋮ The BLM realization for the integral form of \(U_v(\mathfrak{gl}_{m\mid n})\) ⋮ Presenting affine Schur algebras ⋮ A new realisation of the \(\imath\)-quantum group \(\mathbf{U}^{\jmath}(N)\) ⋮ The regular representation of 𝑈_{𝜐}(𝔤𝔩_{𝔪|𝔫}) ⋮ Quantum affine \(\mathfrak{gl}_n\) via Hecke algebras ⋮ Remarks on PBW bases of Ringel–Hall algebras of cyclic quivers ⋮ 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 \(i\)-quantum group \(U^\imath(n)\) ⋮ The center of q-Schur algebra U(2,r)

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