A+ CATEGORY SCIENTIFIC UNIT

Sur une algèbre Q-symétrique

Volume 66 / 1997

A. Guichardet Annales Polonici Mathematici 66 (1997), 123-135 DOI: 10.4064/ap-66-1-123-135

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.

Authors

  • A. Guichardet

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