arXiv:1906.07074 Abstract | arXiv Analytics

arXiv:1906.07074 [math.RT]Abstract References Reviews Resources

Snowflake modules and Enright functor for Kac-Moody superalgebras

Published 2019-06-17Version 1

We introduce a class of modules over Kac-Moody superalgebras; we call these modules snowflake. These modules are characterized by invariance property of their characters with respect to a certain subgroup of the Weyl group. Examples of snowflake modules appear as admissible modules in representation theory of affine vertex algebras and in classification of bounded weight modules. Using these modules we prove Arakawa's Theorem for the Lie superalgebra osp(1|2n).

Categories: math.RT

Subjects: 17B67

Keywords: kac-moody superalgebras, enright functor, affine vertex algebras, snowflake modules appear, invariance property

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