I. Musson

activity

19992005

most citedNoncommutative Deformations of Type A Kleinian Singularities and Hilbert Schemes

5 citations · 5 across the 3 of their papers we have counts for

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math.RT2005★ 5 cited

Noncommutative Deformations of Type A Kleinian Singularities and Hilbert Schemes

Ian M. Musson

Let $H_{k}$ be a symplectic reflection algebra corresponding to a cyclic subgroup $Γ\subseteq SL_2 \C$ of order $n$ and $U_{k} = e H_{k} e$ the spherical…

math.RT2004

Lie Superalgebras, Clifford Algebras, Induced Modules and Nilpotent Orbits

Ian M. Musson

Let $\FRAK{g}$ be a classical simple Lie superalgebra. To every nilpotent orbit $O$ in $\FRAK{g}_0$ we associate a Clifford algebra over the field of rational functions on $\c…

math.RT2003

Finite dimensional representations of invariant differential operators

Ian M. Musson, Sonia L. Rueda

Let $k$ be an algebraically closed field of characteristic 0, $Y = k^{r} \times (k^{\times})^{s}$ and let $G$ be an algebraic torus acting diagonally on the ring of differential ope…

math.RT1999

Down-Up Algebras and Representation Theory

Paula A. A. B. Carvalho, Ian M. Musson

A class of algebras called down-up algebras was introduced by G. Benkart and T. Roby. We classify the finite dimensional simple modules over Noetherian down-up algebras and show th…