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math.RA2025
Graded embeddings, root generated subalgebras and -systems for quasisimple Kac-Moody superalgebras
Irfan Habib, Deniz Kus, Chaithra Pilakkat
Motivated by a construction of Gorelik and Shaviv, we show that the real roots of a root generated subalgebra associated with a -system contained in the positive roots are obtai…
math.RA2024
Maximal root subsystems of affine reflection systems and duality
Irfan Habib
Any maximal root subsystem of a finite crystallographic reduced root system is either a closed root subsystem or its dual is a closed root subsystem in the dual root system. In thi…
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…