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math.RA2023
Root generated subalgebras of symmetrizable Kac-Moody algebras
Irfan Habib, Deniz Kus, R. Venkatesh
The derived algebra of a symmetrizible Kac-Moody algebra $\lie g$ is generated (as a Lie algebra) by its root spaces corresponding to real roots. In this paper, we address the natu…
math.RT2023
Pieri formulas, higher level Demazure crystals and numerical multiplicities of excellent filtrations
Deniz Kus, Valentin Rappel
The classical Pieri formula gives a multiplicity free expansion of an irreducible module with a fundamental one for the complex general linear group. In this article we replace the…