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Verma modules over generalized Witt algebras

Published online by Cambridge University Press:  04 December 2007

VLADIMIR MAZORCHUK
VLADIMIR MAZORCHUK
Affiliation:
Kyiv Taras Shevchenko University, Faculty of Mechanics and Mathematics, Vladimiskaya 64, 252 017, Kyiv, Ukraine; e-mail: [email protected]
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Abstract

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We constuct and investigate a structure of Verma-like modules over generalized Witt algebras. We also prove Futorny-like theorem for irreducible weight modlues whose dimensions of the weight spaces are uniformly bounded.

Keywords

generalized Witt algebraVerma module.
Type
Research Article
Information
Compositio Mathematica , Volume 115 , Issue 1 , January 1999 , pp. 21 - 35
Copyright
© 1999 Kluwer Academic Publishers