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Carroll geodesics. [PDF]

Eur Phys J C Part Fields
Ciambelli L, Grumiller D.
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Instantons and affine Lie algebras

Instantons and affine Lie algebras
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Locally extended affine Lie algebras

Locally extended affine Lie algebras
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Affine Lie Algebra Modules and Complete Lie Algebras

Algebra Colloquium, 2006
In this paper, we first construct some new infinite dimensional Lie algebras by using the integrable modules of affine Lie algebras. Then we prove that these new Lie algebras are complete. We also prove that the generalized Borel subalgebras and the generalized parabolic subalgebras of these Lie algebras are complete.
Yongcun Gao, Daoji Meng
semanticscholar   +3 more sources

A REALIZATION OF CERTAIN MODULES FOR THE N = 4 SUPERCONFORMAL ALGEBRA AND THE AFFINE LIE ALGEBRA A2(1)

Transformation groups, 2015
We shall first present an explicit realization of the simple N = 4 superconformal vertex algebra LcN = 4 with central charge c = −9. This vertex superalgebra is realized inside of the bcβγ system and contains a subalgebra isomorphic to the simple affine ...
Dražen Adamović
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Affine Lie Algebras

1997
This chapter is a basic introduction to affine Lie algebras, preparing the stage for their application to conformal field theory. In Sect. 14.1.1, after having introduced the affine Lie algebras per se, we show how the fundamental concepts of roots, weights, Cartan matrices, and Weyl groups are extended to the affine case.
Philippe Di Francesco, Pierre Mathieu, David Sénéchal   +2 more
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Lie Algebras of Pro-Affine Algebraic Groups

Canadian Journal of Mathematics, 2002
AbstractWe extend the basic theory of Lie algebras of affine algebraic groups to the case of pro-affine algebraic groups over an algebraically closed fieldKof characteristic 0. However, some modifications are needed in some extensions. So we introduce the pro-discrete topology on the Lie algebra ℒ(G) of the pro-affine algebraic groupGoverK, which is ...
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Fock Representations of Lie Algebras, Loop Algebras and Affine Lie Algebras

Communications in Theoretical Physics, 1995
Explicit Fock representations of the classical Lie algebras in terms of boson creation and annihilation operators with an arbitrary highest weight are derived, and a general rule to construct Fock representations of a loop algebra from a boson realization of its corresponding Lie algebra is established.
Xu-Feng Liu, Min Qian
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