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SUMMARY:Łukasz Kubat (University of Warsaw\, Poland)
DTSTART:20240805T150000Z
DTEND:20240805T160000Z
DTSTAMP:20260423T021123Z
UID:ENAAS/92
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/92/">O
 n Yang-Baxter algebras</a>\nby Łukasz Kubat (University of Warsaw\, Polan
 d) as part of European Non-Associative Algebra Seminar\n\n\nAbstract\nTo e
 ach solution of the Yang-Baxter equation one may associate a quadratic alg
 ebra over a field\, called the YB-algebra\, encoding certain information a
 bout the solution. It is known that YB-algebras of finite non-degenerate s
 olutions are (two-sided) Noetherian\, PI and of finite Gelfand-Kirillov di
 mension. If the solution is additionally involutive then the corresponding
  YB-algebra shares many other properties with polynomial algebras in commu
 ting variables (e.g.\, it is a Cohen-Macaulay domain of finite global dime
 nsion). The aim of this talk is to explain the intriguing relationship bet
 ween ring-theoretical and homological properties of YB-algebras and proper
 ties of the corresponding solutions of the Yang-Baxter equation. The main 
 focus is on when such algebras are Noetherian\, (semi)prime and representa
 ble. The talk is based on a joint work with I. Colazzo\, E. Jespers and A.
  Van Antwerpen.\n
LOCATION:https://researchseminars.org/talk/ENAAS/92/
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