Présentation jordanienne de l'algèbre de Weyl A₂
J. Alev ; F. Dumas
Annales Polonici Mathematici, Tome 77 (2001), p. 1-9 / Harvested from The Polish Digital Mathematics Library
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Let k be a commutative field. For any a,b∈ k, we denote by Ja,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 Ja,b(k) can be embedded in the usual Weyl algebra A₂(k), and (ii) Ja,b(k) is isomorphic to A₂(k) if and only if a = b.

Publié le : 2001-01-01
EUDML-ID : urn:eudml:doc:280672 
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     author = {J. Alev and F. Dumas},
     title = {Presentation jordanienne de l'algebre de Weyl A2},
     journal = {Annales Polonici Mathematici},
     volume = {77},
     year = {2001},
     pages = {1-9},
     zbl = {0991.16020},
     language = {fra},
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J. Alev; F. Dumas. Présentation jordanienne de l'algèbre de Weyl A₂. Annales Polonici Mathematici, Tome 77 (2001) pp. 1-9. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap76-1-1/