Sur une algèbre Q-symétrique

• Autorzy: A. Guichardet
• Języki publikacji: FR

Abstrakty

FR

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.

Słowa kluczowe

FR

deformations   derivations   symplectic leaves   representations  

Kategorie tematyczne

• 18G15: Ext and Tor, generalizations, K\"unneth formula
• 16W10: Rings with involution; Lie, Jordan and other nonassociative structures

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1997
• Tom: 66
• Numer: 1
• Strony: 123-135

Daty

wydano

1997

otrzymano

1995-09-01

Twórcy

autor

A. Guichardet

• Centre de Mathématiques, École Polytechnique, 91128 Palaiseau, France

Bibliografia

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• [10] M. Van den Bergh, Noncommutative homology of some 3-dimensional quantum spaces, K-Theory 8 (1994), 213-230.
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