Some branching formulas for Kac--Moody Lie algebras

Published 26 Apr 2018 in math.RT, math.AC, and math.RA | (1804.10251v3)

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 [JWm16]. We also make some conjectures about the generic rings.

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