I. Musson

activity

19992026

most citedHochschild Cohomology and Deformations of Clifford-Weyl Algebras

8 citations · 34 across the 27 of their papers we have counts for

collaborators

29 papers

math.RT2026

Geometry and coefficients of Šapovalov elements for KM Lie superalgebras

Ian M. Musson

We study Shapovalov elements for a symmetrizable, integrable Kac-Moody Lie superalgebra $g$ . Let $γ$ be a positive root of $g$ and $m$ a positive integer, wit…

math.CO2025

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…

math.CO2023

The Weyl groupoid in Type A, Young diagrams and Borel subalgebras

Ian M. Musson

Let $k$ be an algebraically closed field of characteristic zero. Let $g o$ be the Lie superalgebra $sl (n ∣ m)$ and let $\mathfrak{W…