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Free field realizations of certain modules for affine Lie algebra (sl)over-cap(n,C)

Author(s):
Martins, R. A.
Total Authors: 1
Document type: Journal article
Source: ALGEBRA & DISCRETE MATHEMATICS; v. 12, n. 1, p. 25-pg., 2011-01-01.
Abstract

For the affine Lie algebra sl(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 extends the free field realization of Imaginary Verma modules constructed by B.Cox [C1]. (AU)

FAPESP's process: 08/06860-3 - Vertex structures in representation theory of Lie algebras
Grantee:Renato Alessandro Martins
Support Opportunities: Scholarships in Brazil - Doctorate