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 Some branching formulas for Kac--Moody Lie algebras Commun. Korean Math. Soc. 2019 Vol. 34, No. 4, 1079-1098 https://doi.org/10.4134/CKMS.c180373Published online October 31, 2019 Kyu-Hwan Lee, Jerzy Weyman University of Connecticut; 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 described in \cite{JWm18}. We also make some conjectures about the generic rings. Keywords : Kac--Moody algebras, branching formulas MSC numbers : 13C99, 13H10 Downloads: Full-text PDF   Full-text HTML