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ArticleOriginal scientific text

Title

Sur une algèbre Q-symétrique

Authors 1

Affiliations

  1. Centre de Mathématiques, École Polytechnique, 91128 Palaiseau, France

Abstract

We establish several properties of a quadratic algebra over a field k, which is a deformation of the symmetric algebra Sk³. In particular, we prove that A is an integral domain, noetherian and Koszul; we compute its first Hochschild cohomology group; we determine the corresponding Poisson structure on k³ and its symplectic leaves; we define an involution on A and describe the corresponding irreducible involutive representations.

Keywords

FRA
deformations, derivations, symplectic leaves, representations

Bibliography

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Annales Polonici Mathematici
1997/66/1
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Pages:
123-135
Main language of publication
French
Received
1995-09-01
Published
1997
Exact and natural sciences