Hebrew University
 
Amitsur Algebra Seminar
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Time: Thursday, Dec 22, 12:00-13:15
Place: math 209
 
Speaker: Sergey Malev (BIU)
 
Title: THE IMAGES OF NON-COMMUTATIVE POLYNOMIALS
EVALUATED ON 2 x 2 and 3 x 3 MATRICES.
 
Abstract:
The research is based on Kaplansky problem: the only
possible images of multilinear polynomial evaluated on n\times n
matrices M_n(K) are {0}, K,sl_n(K) or M_n(K),where K is the set of
scalar matrices. The result is proved (and generalised for homogeneous
polynomials) for n=2 and some things are made for n=3 (in particular,
trace free case is finished for homogeneous polynomials).The case n=2
is accepted in the journal Proceedings of AMS and one can read it at
 <http://arxiv.org/abs/1005.0191>
 
You are cordially invited!
 
 <http://math.huji.ac.il/amitsur.html>
 
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Technion Math Net-2 (TECHMATH2)
Editor: Michael Cwikel   <techm@math.technion.ac.il> 
Announcement from: Gili Schul   <gili.schul@mail.huji.ac.il>