Some branching formulas for Kac--Moody Lie algebras
Commun. Korean Math. Soc.
Published online August 27, 2019
Kyu-Hwan Lee and Jerzy Weyman
University of Connecticut
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.
We also make some conjectures about the generic rings.
Keywords : Kac--Moody algebras, branching formulas, free resolutions
MSC numbers : 13C99; 13H10
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