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http://dx.doi.org/10.4134/CKMS.c180373

SOME BRANCHING FORMULAS FOR KAC-MOODY LIE ALGEBRAS  

Lee, Kyu-Hwan (University of Connecticut)
Weyman, Jerzy (University of Connecticut)
Publication Information
Communications of the Korean Mathematical Society / v.34, no.4, 2019 , pp. 1079-1098 More about this Journal
Abstract
In this paper we give some branching rules for the fundamental representations of Kac-Moody Lie algebras associated to T-shaped graphs. These formulas are useful to describe generators of the generic rings for free resolutions of length three described in [7]. We also make some conjectures about the generic rings.
Keywords
Kac-Moody algebras; branching formulas;
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