Présentation jordanienne de l'algèbre de Weyl A₂

J. Alev; F. Dumas

Annales Polonici Mathematici (2001)

  • Volume: 76, Issue: 1-2, page 1-9
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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J. Alev, and F. Dumas. "Présentation jordanienne de l'algèbre de Weyl A₂." Annales Polonici Mathematici 76.1-2 (2001): 1-9. <http://eudml.org/doc/280672>.

@article{J2001,
author = {J. Alev, F. Dumas},
journal = {Annales Polonici Mathematici},
keywords = {Weyl algebras; generators; relations; normal elements; embeddings},
language = {fre},
number = {1-2},
pages = {1-9},
title = {Présentation jordanienne de l'algèbre de Weyl A₂},
url = {http://eudml.org/doc/280672},
volume = {76},
year = {2001},
}

TY - JOUR
AU - J. Alev
AU - F. Dumas
TI - Présentation jordanienne de l'algèbre de Weyl A₂
JO - Annales Polonici Mathematici
PY - 2001
VL - 76
IS - 1-2
SP - 1
EP - 9
LA - fre
KW - Weyl algebras; generators; relations; normal elements; embeddings
UR - http://eudml.org/doc/280672
ER -

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