Affine Lie algebras and tame quivers
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Publication:5950655
DOI10.1007/PL00001397zbMath1002.16012arXivmath/0005119MaRDI QIDQ5950655
Anton Malkin, Igor B. Frenkel, Maxim Vybornov
Publication date: 2 January 2002
Published in: Selecta Mathematica. New Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0005119
reflection functorsaffine Lie algebrasrepresentations of quiversHall algebrasquantized enveloping algebras
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Generalized Kac–Moody Lie Algebras and Product Quivers ⋮ The Lie algebra associated to a unit form ⋮ Skew differential operator algebras of twisted Hopf algebras. ⋮ Configurations in abelian categories. II: Ringel-Hall algebras ⋮ A class of simple Lie algebras attached to unit forms ⋮ Laguerre and Meixner symmetric functions, and infinite-dimensional diffusion processes ⋮ A realization of elliptic Lie algebras of type \(F_4^{(2,2)}\) by the Ringel-Hall approach ⋮ Kazhdan-Lusztig equivalence and fusion of Kac modules in Virasoro logarithmic models ⋮ Representations of tame quivers and affine canonical bases ⋮ Affine Mirković-Vilonen polytopes ⋮ AR-quiver approach to affine canonical basis elements ⋮ The Bloch-Okounkov correlation functions of classical type ⋮ Semicanonical bases for Schur algebras. ⋮ Hodge integrals and integrable hierarchies ⋮ The Bloch-Okounkov correlation functions, a classical half-integral case ⋮ Kazhdan-Lusztig correspondence for the representation category of the triplet \(W\)-algebra in logarithmic CFT ⋮ Elliptic Lie algebras and tubular algebras.
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