Classification of simple Harish-Chandra modules for map (super)algebras related to the Virasoro algebra

DOI10.1016/j.jalgebra.2020.11.016zbMath1477.17081arXiv2007.02582OpenAlexW3110724615MaRDI QIDQ827040

Rencai Lü, Yan Wang, Yan-an Cai

Publication date: 6 January 2021

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.02582

zbMATH Keywords

simple modulesVirasoro algebrasweight modulesjet modulescuspidal modulesmap Lie (super)algebras

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Virasoro and related algebras (17B68) Lie algebras of vector fields and related (super) algebras (17B66) Infinite-dimensional Lie (super)algebras (17B65) Simple, semisimple, reductive (super)algebras (17B20)

Related Items

Characterization of simple smooth modules ⋮ A class of irreducible modules for loop-Virasoro algebras ⋮ Representations of map extended Witt algebras ⋮ Classification of simple Harish–Chandra modules over the Ovsienko–Roger superalgebra ⋮ Partial classification of irreducible modules for loop-Witt algebras ⋮ Tensor product representations ⋮ Integrable modules for loop affine-Virasoro algebras

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