Sur une algèbre Q-symétrique
Tom 66 / 1997
Annales Polonici Mathematici 66 (1997), 123-135
DOI: 10.4064/ap-66-1-123-135
Streszczenie
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.
