Results 141 to 150 of about 72,094 (282)
Root components for tensor product of affine Kac-Moody Lie algebra modules [PDF]
, 2022 Sam Jeralds, Shrawan Kumar
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Superelliptic Affine Lie algebras and orthogonal polynomials
Forum of Mathematics, SigmaAbstract We construct two families of orthogonal polynomials associated with the universal central extensions of the superelliptic Lie algebras. These polynomials satisfy certain fourth-order linear differential equations, and one of the families is a particular collection of associated ultraspherical polynomials.
Felipe Albino dos Santos +2 more
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On integral forms for vertex algebras associated with affine Lie algebras and lattices [PDF]
, 2014 Robert McRae
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The PBW Filtration, Demazure Modules and Toroidal Current Algebras
Symmetry, Integrability and Geometry: Methods and Applications, 2008 Let L be the basic (level one vacuum) representation of the affine Kac-Moody Lie algebra ^g. The m-th space F_m of the PBW filtration on L is a linear span of vectors of the form x_1dots x_lv_0, where l ≤ m, x_i in ^g and v_0 is a highest weight vector ...
Evgeny Feigin
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Horizontally Affine Functions on Step-2 Carnot Algebras. [PDF]
J Geom Anal, 2023 Le Donne E, Morbidelli D, Rigot S.
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The Branching Rules for Affine Lie Algebras
Advances in Mathematics, 1994 The irreducible highest weight representations of affine Kac-Moody algebras are one of the main tools in the construction of conformal field theories. One of the good clues to the understanding of the structure of irreducible highest weight representations of affine Kac-Moody algebras is to calculate the string functions, which count the weight ...
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On different approaches to IRF lattice models. Part II
Journal of High Energy PhysicsThis paper represents a continuation of our previous work, where the Boltzmann weights (BWs) for several Interaction-Round-the Face (IRF) lattice models were computed using their relation to rational conformal field theories.
Vladimir Belavin +3 more
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Graded level zero integrable representations of affine Lie algebras [PDF]
, 2007 Vyjayanthi Chari, Jacob Greenstein
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Recurrence relations for characters of affine Lie algebra Al(1) [PDF]
, 2008 Miroslav Jerković
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