J. Van der Jeugt

activity

19932026

most citedFinite oscillator models: the Hahn oscillator

42 citations · 585 across the 52 of their papers we have counts for

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3 papers · 1 filter

math.RT2026

Graded Casimir Elements and Central Extensions of Color Lie Algebras

Naruhiko Aizawa, Ichi Fujii, Jambulingam Segar +1

A color Lie algebra is a generalization of a Lie (super)algebra by an Abelian group $Γ$ . The underlying vector space and defining relations of the algebra are graded by $Γ$ , and a…

math.RT2022★ 1 cited

Generalised symmetries and bases for Dunkl monogenics

Hendrik De Bie, Alexis Langlois-Rémillard, Roy Oste +1

We introduce a family of commuting generalised symmetries of the Dunkl--Dirac operator inspired by the Maxwell construction in harmonic analysis. We use these generalised symmetrie…

math.RT2022★ 1 cited

Bases for infinite dimensional simple $osp (1∣2 n)$ -modules respecting the branching $osp (1∣2 n) \supset gl (n)$

Asmus K. Bisbo, Joris Van der Jeugt

We study the effects of the branching $osp (1∣2 n) \supset gl (n)$ on a particular class of simple infinite-dimensional $osp (1∣2 n)$ -modules $L (p)$ char…

Graded Casimir Elements and Central Extensions of Color Lie Algebras

Generalised symmetries and bases for Dunkl monogenics

Bases for infinite dimensional simple osp(1∣2n)-modules respecting the branching osp(1∣2n)⊃gl(n)

Bases for infinite dimensional simple $osp (1∣2 n)$ -modules respecting the branching $osp (1∣2 n) \supset gl (n)$