Results 201 to 210 of about 361,283 (249)
Integrable representations of affine Lie-algebras
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Vertex representations for twisted affine Lie algebra of type A_{2l}^{(2)}
Limeng Xia, Naihong Hu, Xiaotang Bai
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Exposition on affine and elliptic root systems and elliptic Lie algebras
Saeid Azam+2 more
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On certain categories of modules for twisted affine Lie algebras
Yongcun Gao, Jiayuan Fu
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Affine Lie algebras and the Virasoro algebra I
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Lie bialgebra structures on the extended affine Lie algebra $\widetilde{sl_2(\mathbb{C}_q)}$
Ying Xu, Junbo Li
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Affine Lie Algebra Modules and Complete Lie Algebras
Algebra Colloquium, 2006In 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
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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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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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Structure of the standard modules for the affine Lie algebra A[(1)] [1]
, 1985The 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
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Fock Representations of Lie Algebras, Loop Algebras and Affine Lie Algebras [PDF]
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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