M. Slupinski

activity

19992022

most citedFractional Supersymmetry and Fth-Roots of Representations

42 citations · 84 across the 10 of their papers we have counts for

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4 papers · 1 filter

math.RT2018

Pure spinors and a construction of the $E_{*}$ -Lie algebras

Marcus Slupinski, Robert Stanton

Let $(V, g)$ be a $2 n$ -dimensional hyperbolic space and $C (V, g)$ its Clifford algebra. $C (V, g)$ has a $Z$ -grading, $C^{k}$ , and an algebra isomorphism $C (V, g) ≅ E n d (S)$ , $…

math.RT2012

The geometry of special symplectic representations

Marcus J. Slupinski, Robert J. Stanton

We show there is a class of symplectic Lie algebra representations over any field of characteristic not 2 or 3 that have many of the exceptional algebraic and geometric properties…

math.RT2005★ 8 cited

Finite-dimensional Lie subalgebras of the Weyl algebra

M. Rausch de Traubenberg, M. J. Slupinski, A. Tanasa

We classify up to isomorphism all finite-dimensional Lie algebras that can be realised as Lie subalgebras of the complex Weyl algebra $A_{1}$ . The list we obtain turns out to be disc…

math.RT2001★ 3 cited

Kac-Moody algebras and Lie algebras of regular vector fields on tori

M. Rausch de Traubenberg, M. J. Slupinski

We consider the problem of representing the Kac-Moody algebra $g (N)$ specified by an $r \times r$ indecomposable generalised Cartan matrix $N$ as vector fields on the tor…

Pure spinors and a construction of the E∗​-Lie algebras

The geometry of special symplectic representations

Finite-dimensional Lie subalgebras of the Weyl algebra

Kac-Moody algebras and Lie algebras of regular vector fields on tori

Pure spinors and a construction of the $E_{*}$ -Lie algebras