I. Musson

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20242026

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math.RT2026

Geometry and coefficients of Å apovalov elements for KM Lie superalgebras

Ian M. Musson

We study Shapovalov elements for symmetrizable, integrable Kac-Moody algebras $g$ . Let $I^^{3}$ be a positive root of $g$ and $m$ a positive integer, with suitabl…

math.RT2024

Young diagrams, deformed Calogero-Moser systems and Cayley graphs

Ian M. Musson

Let $k$ be an algebraically closed field of characteristic zero and $n, m$ coprime positive integers. Let $g o$ be the Lie superalgebra ${\m…

math.RT2024

Young diagrams, Borel subalgebras and Cayley graphs

Ian M. Musson

Let $k$ be an algebraically closed field of characteristic zero and $n, m$ coprime positive integers. Let $g o$ be the Lie superalgebra ${\mat…