Rings of h-deformed differential operators

B Herlemont (1, 2) , O Ogievetsky (2, 1)

1 CPT - E2 Géométrie, Physique et Symétries
2 CPT - Centre de Physique Théorique - UMR 7332

We describe the center of the ring Diff h (n) of h-deformed differential operators of type A. We establish an isomorphism between certain localizations of Diff h (n) and the Weyl algebra W n extended by n indeterminates.

Domaines: Physique mathématique [math-ph]

B Herlemont, O Ogievetsky. Rings of h-deformed differential operators. Theoretical and Mathematical Physics, 2017, 192 (2), pp.1218-1229. ⟨10.1134/S0040577917080104⟩. ⟨hal-01435264⟩