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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Manin matrices and quantum spin models

## Manin matrices and quantum spin modelsAdd to your list(s) Download to your calendar using vCal - Falqui, G (SISSA)
- Monday 23 March 2009, 15:30-16:30
- Seminar Room 1 Newton Institute.
If you have a question about this talk, please contact Mustapha Amrani. Discrete Integrable Systems We consider a class of matrices with noncommutative entries, first considered by Yu. I. Manin in 1988. They can be defined as ``noncommutative 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 theorems 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 matrices appear in the theory of integrable quantum spin models, and present a few applications. (Joint work(s) with A. Chervov and V. Rubtsov). This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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