I. Musson

activity

20242026

collaborators

5 papers

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.CO2026

Catalan numbers and a conjecture on the maximum composition length of a Kac module

Ian M. Musson

Let $f : Z ⟶ {\times \cdot}$ be a function such that $f (a) = \cdot$ for all except finitely for many $a \in Z$ . We define a set $♭ f$ of non-int…

math.AG2025

Categorical quotients for actions of groupoids on varieties

Ian M. Musson

For certain actions of the Weyl groupoid $W$ from [Sergeev and Veselov, Grothendieck rings of basic classical Lie superalgebras, Ann Math, 2011] on an affine variety $X$ …

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…