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Representations of the Twisted Heisenberg–Virasoro Algebra at Level Zero

Published online by Cambridge University Press:  20 November 2018

Yuly Billig
Yuly Billig*
Affiliation:
School of Mathematics and Statistics Carleton University 1125 Colonel By Drive Ottawa, Ontario K1S 5B6, email: [email protected]
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Abstract

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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.

Keywords

17B6817B65
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 46 , Issue 4 , 01 December 2003 , pp. 529 - 537
Copyright
Copyright © Canadian Mathematical Society 2003

References

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