Supports of weight modules over Witt algebras

DOI10.1017/S0308210509000912zbMath1295.17007arXiv0906.0947OpenAlexW2964235292MaRDI QIDQ3082522

Kaiming Zhao, Volodymyr Mazorchuk

Publication date: 10 March 2011

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.0947

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) Graded Lie (super)algebras (17B70)

Related Items (26)

Biderivations of the higher rank Witt algebra without anti-symmetric condition ⋮ Classification of irreducible representations of Lie algebra of vector fields on a torus ⋮ Representations of the Lie algebra of vector fields on a torus and the chiral de Rham complex ⋮ New irreducible weight modules over Witt algebras with infinite-dimensional weight spaces ⋮ Irreducible Witt modules from Weyl modules and \(\mathfrak{gl}_n\)-modules ⋮ Shen-Larsson's modules for simple generalized Witt algebras ⋮ Representations of map extended Witt algebras ⋮ Bounded weight modules over the Lie superalgebra of Cartan \(W\)-type ⋮ New families of irreducible weight modules over \(\mathfrak{sl}_3\) ⋮ Classification of simple bounded weight modules of the Lie algebra of vector fields on \(\mathbb{C}^n\) ⋮ Classification of simple Harish-Chandra modules over the \(N=1\) Ramond algebra ⋮ Irreducible modules over the divergence zero algebras and their \(q\)-analogues ⋮ Irreducible modules over the derivation algebras of rational quantum tori ⋮ Harish-Chandra modules over generalized Heisenberg-Virasoro algebras ⋮ Classification of simple Harish-Chandra modules over the Neveu-Schwarz algebra and its contact subalgebra ⋮ Representations of the Lie algebra of vector fields on a sphere ⋮ Simple weight modules with finite-dimensional weight spaces over Witt superalgebras ⋮ Irreducible Harish-Chandra modules over extended Witt algebras ⋮ Irreducible weight modules over Witt algebras ⋮ \(\mathcal{W}_n^+\)- and \(\mathcal{W}_n\)-module structures on \(U(\mathfrak{h}_n)\) ⋮ Partial classification of cuspidal simple modules for Virasoro-like algebra ⋮ Simple modules over the Lie algebras of divergence zero vector fields on a torus ⋮ Representations of Lie algebras of vector fields on affine varieties ⋮ IRREDUCIBLE HARISH CHANDRA MODULES OVER THE DERIVATION ALGEBRAS OF RATIONAL QUANTUM TORI ⋮ A class of new simple modules for \(\mathfrak{sl}_{n + 1}\) and the Witt algebra ⋮ Irreducible jet modules for the vector field Lie algebra on S1×C

This page was built for publication: Supports of weight modules over Witt algebras