Weight representations of the polynomial Cartan type Lie algebras \(W_n\) and \(\overline S_n\)

DOI10.4310/MRL.1999.v6.n4.a3zbMath1001.17026MaRDI QIDQ1574715

Vera V. Serganova, I. B. Penkov

Publication date: 13 August 2000

Published in: Mathematical Research Letters (Search for Journal in Brave)

zbMATH Keywords

irreducible representationWitt algebraweight moduleparabolic subalgebraLie algebras of vector fieldsCartan algebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Lie algebras of vector fields and related (super) algebras (17B66) Infinite-dimensional Lie (super)algebras (17B65)

Related Items (11)

Representations of nongraded Lie algebras of Block type ⋮ Whittaker category for the Lie algebra of polynomial vector fields ⋮ Irreducible Witt modules from Weyl modules and \(\mathfrak{gl}_n\)-modules ⋮ Bounded weight modules of the Lie algebra of vector fields on ℂ2 ⋮ Tensor modules over Witt superalgebras ⋮ Classification of simple bounded weight modules of the Lie algebra of vector fields on \(\mathbb{C}^n\) ⋮ Irreducible representations of nongraded Witt type Lie algebras ⋮ \(\mathcal{W}_n^+\)- and \(\mathcal{W}_n\)-module structures on \(U(\mathfrak{h}_n)\) ⋮ Representations of Lie algebras of vector fields on affine varieties ⋮ Simple weight modules with finite weight multiplicities over the Lie algebra of polynomial vector fields ⋮ Irreducible jet modules for the vector field Lie algebra on S1×C

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