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HARISH-CHANDRA MODULES OVER THE ℚ HEISENBERG–VIRASORO ALGEBRA

Published online by Cambridge University Press:  10 August 2010

XIANGQIAN GUO*
Affiliation:
Department of Mathematics, Zhengzhou University, Zhengzhou 450001, Henan, PR China (email: [email protected])
XUEWEN LIU
Affiliation:
Department of Mathematics, Zhengzhou University, Zhengzhou 450001, Henan, PR China (email: [email protected])
KAIMING ZHAO
Affiliation:
Department of Mathematics, Wilfrid Laurier University, Waterloo, ON, Canada N2L 3C5 Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100190, PR China (email: [email protected])
*
For correspondence; e-mail: [email protected]
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Abstract

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In this paper, it is proved that all irreducible Harish-Chandra modules over the ℚ Heisenberg–Virasoro algebra are of the intermediate series (all weight spaces are at most one-dimensional).

Type
Research Article
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

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