Sur une algèbre Q-symétrique
A. Guichardet
Annales Polonici Mathematici, Tome 66 (1997), p. 123-135 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 1997-01-01
EUDML-ID : urn:eudml:doc:270022 
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     year = {1997},
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A. Guichardet. Sur une algèbre Q-symétrique. Annales Polonici Mathematici, Tome 66 (1997) pp. 123-135. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv66z1p123bwm/

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