Coverings of generalized Chevalley groups associated with affine Lie algebras [PDF]
, 1982 Jun Morita
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Weyl's character formula for non-connected Lie groups and orbital theory for twisted affine Lie algebras [PDF]
J. Funct. Anal. 180 (2001), 31-65, 1999 We generalize I. Frenkel's orbital theory for non twisted affine Lie algebras to the case of twisted affine Lie algebras using a character formula for certain non-connected compact Lie groups.
arxiv
Rademacher-type formulas for the multiplicities of irreducible highest-weight representations of affine Lie algebras [PDF]
, 1987 Carlos Moreno, Alvany Rocha-Caridi
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Horizontally Affine Functions on Step-2 Carnot Algebras. [PDF]
J Geom Anal, 2023 Le Donne E, Morbidelli D, Rigot S.
europepmc +1 more source
Post-Lie algebra structures on pairs of Lie algebras [PDF]
arXiv, 2015 We study post-Lie algebra structures on pairs of Lie algebras $(\mathfrak{g},\mathfrak{n})$, motivated by nil-affine actions of Lie groups. We prove existence results for such structures depending on the interplay of the algebraic structures of $\mathfrak{g}$ and $\mathfrak{n}$.
arxiv
The Semi-Infinite Cohomology of Affine Lie Algebras [PDF]
Communications in Mathematical Physics, 1998 We study in detail the semi-infinite or BRST cohomology of general affine Lie algebras. This cohomology is relevant in the BRST approach to gauged WZNW models. We prove the existence of an infinite sequence of elements in the cohomology for non-zero ghost numbers.
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Tensor structures arising from affine Lie algebras. II [PDF]
, 1993 David Kazhdan, G. Lusztig
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Some combinatorial coincidences for standard representations of affine Lie algebras [PDF]
arXiv, 2018 In this note we explain, in terms of finite dimensional representations of Lie algebras $\mathfrak{sp}_{2\ell}\subset\mathfrak{sl}_{2\ell}$, a combinatorial coincidence of difference conditions in two constructions of combinatorial bases for standard representations of symplectic affine Lie algebras.
arxiv
Quantized affine Lie algebras and diagonalization of braid generators [PDF]
, 1994 M. D. Gould, Yao-Zhong Zhang
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The centroid of extended affine and root graded Lie algebras [PDF]
arXiv, 2005 We develop general results on centroids of Lie algebras and apply them to determine the centroid of extended affine Lie algebras, loop-like and Kac-Moody Lie algebras, and Lie algebras graded by finite root systems.
arxiv