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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.
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
semanticscholar   +2 more sources

Structure of the standard modules for the affine Lie algebra A[(1)] [1]

, 1985
The Lie algebra $A_1^(1)$ The category $\cal P_k$ The generalized commutation relations Relations for standard modules Basis of $\Omega_L$ for a standard module $L$ Schur functions Proof of linear independence Combinatorial formulas.
J. Lepowsky, M. Primc
semanticscholar   +1 more source

Fock Representations of Lie Algebras, Loop Algebras and Affine Lie Algebras [PDF]

open access: possibleCommunications 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
openaire   +1 more source

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