Pálfy Péter Pál: Skew braces - a new playground for algebraists

Skew braces were introduced by Guarnieri and Vendramin in 2017, generalizing an earlier concept by Rump. They are related to the study of the Yang–Baxter equation in theoretical physics. A skew brace is an algebra (A;+,◦), where both (A;+) and (A;◦) are groups (despite what the notation suggests, the operation + need not be commutative), and the identity x◦(y+z)=x◦y−x+x◦z is satisfied. While there are lots of papers on skew braces written by group theorists, this new algebraic structure has not arouse the interest but a few universal algebraists. I am going to discuss some open problems concerning skew braces.

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Zoom:

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Meeting ID: 821 5368 6539
Passcode: 098489