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Currently displaying 1 – 2 of 2

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Automorphismes de certains completés du corps de Weyl quantique.

J. Alev; F. Dumas — 1995

Collectanea Mathematica

Présentation jordanienne de l'algèbre de Weyl A₂

J. Alev; F. Dumas — 2001

Annales Polonici Mathematici

Let k be a commutative field. For any a,b∈ k, we denote by $J_{a, b} (k)$ the deformation of the 2-dimensional Weyl algebra over k associated with the Jordanian Hecke symmetry with parameters a and b. We prove that: (i) any $J_{a, b} (k)$ can be embedded in the usual Weyl algebra A₂(k), and (ii) $J_{a, b} (k)$ is isomorphic to A₂(k) if and only if a = b.

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