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SUMMARY:Agata Pilitowska (Warsaw University of Technology\, Poland)
DTSTART:20250623T150000Z
DTEND:20250623T160000Z
DTSTAMP:20260423T052549Z
UID:ENAAS/128
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/128/">
 Diagonals of solutions of the Yang-Baxter equation</a>\nby Agata Pilitowsk
 a (Warsaw University of Technology\, Poland) as part of European Non-Assoc
 iative Algebra Seminar\n\n\nAbstract\nThe Yang--Baxter equation is one of 
 the fundamental equations occurring in statistical mechanics and quantum f
 ield theory. I will show that the diagonal mappings are bijections in any 
 non-degenerate set-theoretical solution. This immediately gives that any n
 on-degenerate solution is bijective and affirmatively answers question sta
 ted by Cedo\, Jespers and Verwimp. I also prove that\, for a subclass of s
 olutions called permutational\, one-sided non-degeneracy is sufficent for 
 the diagonal to be invertible. This is joint work with Premysl Jedlicka (C
 zech University of Life Sciences).\n
LOCATION:https://researchseminars.org/talk/ENAAS/128/
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