Results 1 to 10 of about 72,094 (282)
Skew Symmetric Extended Affine Lie algebras [PDF]
, 2023 Comments are ...
S. Eswara Rao, Priyanshu Chakraborty
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Spinor representations of affine Lie algebras [PDF]
Proceedings of the National Academy of Sciences, 1980 Let [unk] be an infinite-dimensional Kac-Moody Lie algebra of one of the types D l +1 (2) , B l (1) , or D l (1)
Igor Frenkel
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Braided Tensor Categories of Admissible Modules for Affine Lie Algebras [PDF]
Communications in Mathematical Physics, 2018 Using the tensor category theory developed by Lepowsky, Zhang and the second author, we construct a braided tensor category structure with a twist on a semisimple category of modules for an affine Lie algebra at an admissible level.
Thomas Creutzig +2 more
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Tensor structures arising from affine Lie algebras. III [PDF]
Journal of the American Mathematical Society, 1994 Let \(\widehat {\mathfrak g}\) be an affine Lie algebra of type \(A\), \(D\) or \(E\). The subject of interest in this paper is a category \({\mathcal O}_ k\) of \(\widehat {\mathfrak g}\)-modules with central charge \(k-h\) (where \(k\in C- Q_{\geq 0}\) and \(h\) is the Coxeter number), of finite length and whose composition factors are simple highest
David Kazhdan, G. Lusztig
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Principal Realization for the extended affine Lie algebra of type $sl_2$ with coordinates in a simple quantum torus with two generators [PDF]
, 1998 We construct an irreducible representation for the extended affine algebra of type $sl_2$ with coordinates in a quantum torus. We explicitly give formulas using vertex operators similar to those found in the theory of the infinite rank affine algebra $A_{
Stephen Berman, Jacek Szmigielski
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Generalized teleparallel de Sitter geometries [PDF]
European Physical Journal C: Particles and Fields, 2023 Theories of gravity based on teleparallel geometries are characterized by the torsion, which is a function of the coframe, derivatives of the coframe, and a zero curvature and metric compatible spin-connection.
A. A. Coley +3 more
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Combinatorial bases of modules for affine Lie algebra B 2(1) [PDF]
Open Mathematics, 2013 We construct bases of standard (i.e. integrable highest weight) modules L(Λ) for affine Lie algebra of type B2(1) consisting of semi-infinite monomials.
Primc Mirko
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A non-recursive criterion for weights of a highest weight module for an affine Lie algebra [PDF]
, 2010 Let Λ be a dominant integral weight of level k for the affine Lie algebra g and let α be a non-negative integral combination of simple roots. We address the question of whether the weight η = Λ − α lies in the set P(Λ) of weights in the irreducible ...
O. Barshevsky +2 more
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Induced Modules for Affine Lie Algebras [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2009 We study induced modules of nonzero central charge with arbitrary multiplicities over affine Lie algebras. For a given pseudo parabolic subalgebra P of an affine Lie algebra G, our main result establishes the equivalence between a certain category of P ...
Vyacheslav Futorny, Iryna Kashuba
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Instantons and affine Lie algebras [PDF]
Nuclear Physics B - Proceedings Supplements, 1996 Various constructions of the affine Lie algebra action on the homology group of moduli spaces of instantons on 4-manifolds are discussed. The analogy between the local-global principle and the role of mass is also explained. The detailed proofs are given in separated papers \cite{Na-algebra,Na-Hilbert}.
Hiraku Nakajima
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