Length two extensions of modules for the Witt algebra

DOI10.1080/00927872.2017.1376210zbMath1439.17010arXiv1510.06792OpenAlexW2963239721MaRDI QIDQ4567852

Kathlyn Dykes

Publication date: 20 June 2018

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

Full work available at URL: https://arxiv.org/abs/1510.06792

zbMATH Keywords

module extensionthe Witt algebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Virasoro and related algebras (17B68) Cohomology of Lie (super)algebras (17B56)

Related Items (2)

Towards Kac-van de Leur conjecture: locality of superconformal algebras ⋮ Derivations of the nongraded Witt algebra with coefficients in tensor modules

Cites Work

• Indecomposable modules over the Virasoro Lie algebra and a conjecture of V. Kac
• Homology of the Lie algebra of vector fields on the line
• Classification of Harish-Chandra modules over the Virasoro Lie algebra
• Classification of the indecomposable bounded admissible modules over the Virasoro Lie algebra with weightspaces of dimension not exceeding two
• Classification of simple cuspidal modules for solenoidal Lie algebras
• Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras
• Jet Modules
• Representations of the Twisted Heisenberg–Virasoro Algebra at Level Zero

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