CLASSIFICATION OF IRREDUCIBLE WEIGHT MODULES OVER THE TWISTED HEISENBERG–VIRASORO ALGEBRA
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Publication:3560160
DOI10.1142/S0219199710003786zbMath1250.17038arXivmath/0510194OpenAlexW2158336499MaRDI QIDQ3560160
Publication date: 19 May 2010
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0510194
Virasoro algebraintermediate seriestwisted Heisenberg-Virasoro algebrairreducible simple module, weight module
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Virasoro and related algebras (17B68) Infinite-dimensional Lie (super)algebras (17B65)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Indecomposable modules over the Virasoro Lie algebra and a conjecture of V. Kac
- Infinite-dimensional Lie algebras, theta functions and modular forms
- Moduli spaces of curves and representation theory
- Nonbounded indecomposable admissible modules over the Virasoro algebra
- 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
- Generalized Virasoro and super-Virasoro algebras and modules of the intermediate series
- KAC-MOODY AND VIRASORO ALGEBRAS IN RELATION TO QUANTUM PHYSICS
- Representations of the Twisted Heisenberg–Virasoro Algebra at Level Zero
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