Two-parameter quantum vertex representations via finite groups and the McKay correspondence
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Publication:5200207
DOI10.1090/S0002-9947-2011-05284-0zbMath1287.17031arXiv0909.1730WikidataQ57435544 ScholiaQ57435544MaRDI QIDQ5200207
Publication date: 1 August 2011
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0909.1730
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) McKay correspondence (14E16)
Related Items (8)
On Hopf algebraic structures of quantum toroidal algebras ⋮ Two-parameter quantum affine algebra of type \(C_n^{(1)}\), Drinfeld realization and vertex representation ⋮ R-matrix realization of two-parameter quantum affine algebra \(U_{r, s} (\hat{\mathfrak{gl}}_n)\) ⋮ Two-parameter quantum vertex representations via finite groups and the McKay correspondence ⋮ PBWD bases and shuffle algebra realizations for \(U_v(L\mathfrak{sl}_n)\), \(U_{v_1,v_2} (L\mathfrak{sl}_n)\), \(U_v (L\mathfrak{sl}(m|n))\) and their integral forms ⋮ Two-parameter twisted quantum affine algebras ⋮ Two-parameter quantum affine algebra of type G2(1), Drinfeld realization and vertex representation ⋮ Two-parameter Quantum Affine Algebra $U_{r,s}(\widehat{\frak{sl}}_2)$
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