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Representations of the Twisted Heisenberg--Virasoro Algebra at Level Zero

Published:2003-12-01
Printed: Dec 2003
• Yuly Billig
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Abstract

We describe the structure of the irreducible highest weight modules for the twisted Heisenberg--Virasoro Lie algebra at level zero. We prove that either a Verma module is irreducible or its maximal submodule is cyclic.
 MSC Classifications: 17B68 - Virasoro and related algebras 17B65 - Infinite-dimensional Lie (super)algebras [See also 22E65]

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