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

Manin matrices and quantum spin models

Add to your list(s) Download to your calendar using vCal

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.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.


© 2006-2024, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity