Free field realizations of certain modules for affine Lie algebra slˆ(n,C)

For the affine Lie algebra slˆ(n,C) we study a realization in terms of infinite sums of partial differential operators of a family of representations introduced in [BBFK]. These representations generalize a construction of Imaginary Verma modules [F1]. The realization constructed in the paper exten...

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Bibliographic Details
Date:2011
Main Author: Martins, R.A.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2011
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/154768
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Free field realizations of certain modules for affine Lie algebra slˆ(n,C) / R.A. Martins // Algebra and Discrete Mathematics. — 2011. — Vol. 12, № 1. — С. 28–52. — Бібліогр.: 15 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine