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A Family of Irreducible Representations of the Witt Lie Algebra with Infinite-Dimensional Weight Spaces

✍ Scribed by Charles H. Conley; Christiane Martin

Book ID
110363625
Publisher
Cambridge University Press
Year
2001
Tongue
English
Weight
202 KB
Volume
128
Category
Article
ISSN
0010-437X

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We classify the irreducible weight affine Lie algebra modules with finite-dimensional weight spaces on which the central element acts nontrivially. In particular, we show that any such module is a quotient of a generalized Verma module. The classification of such irreducible modules is reduced to th