Denominator identities for finite-dimensional Lie superalgebras and Howe duality for compact dual pairs

We provide formulas for the denominator and superdenominator of a basic classical type Lie superalgebra for any set of positive roots. We establish a connection between certain sets of positive roots and the theory of reductive dual pairs of real Lie groups, and, as an application of these formulas,...

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Bibliographic Details
Main Authors: Gorelik, Maria, Möseneder Frajria, Pierluigi, Papi, Paolo, Kac, Victor
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Springer-Verlag 2015
Online Access:http://hdl.handle.net/1721.1/92901
https://orcid.org/0000-0002-2860-7811