Quadratic Poisson brackets and the Drinfeld theory for associative algebras

✍ Scribed by A. Balinsky; Yu. Burman

• Publisher: Springer
• Year: 1996
• Tongue: English
• Weight: 611 KB
• Volume: 38
• Category: Article
• ISSN: 0377-9017
• DOI: 10.1007/bf00398299

✦ Synopsis

The Letter is devoted to the Poisson brackets compatible with multiplication in associative algebras. These brackets are shown to be quadratic and their relations with the classical Yang-Baxter equation are revealed. The Letter also contains a description of Poisson Lie structures on Lie groups whose Lie algebras are adjacent to an associative structure.