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SUMMARY:Manin matrices and quantum spin models - Falqui\, G (SISSA)
DTSTART:20090323T153000Z
DTEND:20090323T163000Z
UID:TALK17548@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We consider a class of matrices with noncommutative entries\, 
 first considered by Yu. I. Manin in 1988. They can be defined as ``noncomm
 utative endomorphisms'' of a polynomial algebra. The main aim of the talk 
 is twofold: the first is to show that quite a lot of properties and theore
 ms of linear algebra (e.g.\, a natural definition of the determinant\, the
  Cayley-Hamilton theorem\, and so on and so forth) have a straightforward 
 and natural counterpart in this case. The second\, to show how these matri
 ces appear in the theory of integrable quantum spin models\, and present a
  few applications. \n\n(Joint work(s) with A. Chervov and V. Rubtsov). 
LOCATION:Seminar Room 1 Newton Institute
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