Modules for double affine Lie algebras

Naihuan JING; Chunhua WANG

doi:10.1007/s11464-015-0447-1

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Front. Math. China ›› 2016, Vol. 11 ›› Issue (1) : 89-108. DOI: 10.1007/s11464-015-0447-1

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Modules for double affine Lie algebras

Naihuan JING¹^,² ,
Chunhua WANG¹

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Abstract

Imaginary Verma modules, parabolic imaginary Verma modules,and Verma modules at level zero for double affine Lie algebras are constructed using three different triangular decompositions. Their relations are investigated,and several results are generalized from the affine Lie algebras. In particular,imaginary highest weight modules, integrable modules, and irreducibility criterion are also studied.

Keywords

Double affine Lie algebra / Verma module / irreducibility / Weylmodule

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Naihuan JING, Chunhua WANG. Modules for double affine Lie algebras. Front. Math. China, 2016, 11(1): 89‒108 https://doi.org/10.1007/s11464-015-0447-1

References

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