Machine learning systems are increasingly used to make decisions about people's lives,
such as whether to give someone a loan or whether to interview someone for a job. This has …

We generalize the real and chiral N= 2 super Schrödinger algebras to Z 2× Z 2-graded Lie
superalgebras. This is done by D-module presentation, and as a consequence, the D …

We study the properties of the symplectic sp (2N) algebra deformed by means of the Dunkl
operators, which describe the dynamical symmetry of the generalized N-particle Calogero …

For a finite dimensional representation V of a finite reflection group W, we consider the
rational Cherednik algebra H t, c (V, W) associated with (V, W) at the parameters t≠ 0 and c …

We introduce the Dunkl version of the Laplace–Runge–Lenz vector associated with a finite
Coxeter group W acting geometrically in RN and with a multiplicity function g. This vector …

In recent work, we examined the algebraic structure underlying a class of elements
supercommuting with realization of the Lie superalgebra $\mathfrak {osp}(1| 2) $ inside a …

Abstract The Gasper and Rahman multivariate (− q)‐Racah polynomials appear as
connection coefficients between bases diagonalizing different abelian subalgebras of the …

We define a family of Dirac operators for the Dunkl angular momentum algebra depending
on certain central elements of the group algebra of the Pin cover of the Weyl group inherent …

Abstract The Dunkl–Dirac operator is a deformation of the Dirac operator by means of Dunkl
derivatives. We investigate the symmetry algebra generated by the elements …

The Dunkl deformation of the Dirac operator is part of a realisation of an orthosymplectic Lie
superalgebra inside the tensor product of a rational Cherednik algebra and a Clifford …