English

Some branching formulas for Kac--Moody Lie algebras

Representation Theory 2022-05-03 v3 Commutative Algebra Rings and Algebras

Abstract

In this paper we give some branching rules for the fundamental representations of Kac--Moody Lie algebras associated to TT-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.

Keywords

Cite

@article{arxiv.1804.10251,
  title  = {Some branching formulas for Kac--Moody Lie algebras},
  author = {Kyu-Hwan Lee and Jerzy Weyman},
  journal= {arXiv preprint arXiv:1804.10251},
  year   = {2022}
}

Comments

A typo is corrected