Commun. Korean Math. Soc. 2019; 34(4): 1079-1098
Online first article August 27, 2019 Printed October 31, 2019
https://doi.org/10.4134/CKMS.c180373
Copyright © The Korean Mathematical Society.
Kyu-Hwan Lee, Jerzy Weyman
University of Connecticut; University of Connecticut
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 \cite{JWm18}. We also make some conjectures about the generic rings.
Keywords: Kac--Moody algebras, branching formulas
MSC numbers: 13C99, 13H10
Supported by: K.-H. Lee was partially supported by a grant from the Simons Foundation (#318706).
J. Weyman was partly supported by NSF DMS grant 1802067.
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