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SUMMARY:Guy Blachar (Bar-Ilan University\, Israel)
DTSTART:20250217T150000Z
DTEND:20250217T160000Z
DTSTAMP:20260423T035529Z
UID:ENAAS/111
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/111/">
 Semiassociative algebras over a field</a>\nby Guy Blachar (Bar-Ilan Univer
 sity\, Israel) as part of European Non-Associative Algebra Seminar\n\n\nAb
 stract\nAssociative central simple algebras are a classical subject\, rela
 ted to many areas of study including Galois cohomology and algebraic geome
 try. An associative central simple algebra is a form of matrices because a
  maximal étale subalgebra acts on the algebra faithfully by left and righ
 t multiplication. In an attempt to extract and isolate the full potential 
 of this point of view\, we study nonassociative algebras whose nucleus con
 tains an étale subalgebra bi-acting faithfully on the algebra. We show th
 at these algebras\, termed semiassociative\, are forms of a nonassociative
  analogue of matrix algebras. Finally\, we consider the monoid composed of
  semiassociative algebras modulo the nonassociative matrix algebras\, and 
 discuss its connection to the classical Brauer group. Based on joint work 
 with Darrell Haile\, Eliyahu Matzri\, Edan Rein and Uzi Vishne.\n
LOCATION:https://researchseminars.org/talk/ENAAS/111/
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