Polynomials and Weyl algebras on time scales

Notes on Weyl–Clifford algebras

Here is discussed generalization of Clifford algebras, l-dimensional Weyl–Clifford algebras T(n, l) with n generators tk satisfying equation ∑n k=1 aktk )l = ∑n k=1 (ak) . It is originated from two basic and well known constructions: representation of Clifford algebras via tensor products of Pauli matrices together with extension for l > 2 using Weyl commutation relations. Presentation of such ...

- algebras and Weyl quantization

A strict quantization of a Poisson manifold P on a subset

WEYL ALGEBRAS and KNOTS

ABSTRACT In this paper we push forward results on the invariant F -module of a virtual knot investigated by the first named author where F is the algebra with two invertible generators A,B and one relation ABAB −BAB = BABA− A . For flat knots and links the two sides of the relation equation are put equal to unity and the algebra becomes the Weyl algebra. If this is perturbed and the two sides o...

Quantum Heisenberg–Weyl Algebras

All Lie bialgebra structures on the Heisenberg–Weyl algebra [A+, A−] = M are classified and explicitly quantized. The complete list of quantum Heisenberg–Weyl algebras so obtained includes new multiparameter deformations, most of them being of the non-coboundary type. A Hopf algebra deformation of a universal enveloping algebra Ug defines in a unique way a Lie bialgebra structure (g, δ) on g [1...

The Weyl Algebras