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#### The Dynamical Yang-Baxter Equation, Representation Theory, and Quantum Integrable Systems

OUP Oxford 2005; US$ 114.99The text is based on an established graduate course given at MIT that provides an introduction to the theory of the dynamical Yang-Baxter equation and its applications, which is an important area in representation theory and quantum groups. The book, which contains many detailed proofs and explicit calculations, will be accessible to graduate students... more...

#### Yang-Baxter Equation and Quantum Enveloping Algebras

World Scientific Publishing Company 1993; US$ 32.00 US$ 29.12The exact solution of C N Yang's one-dimensional many-body problem with repulsive delta-function interactions and R J Baxter's eight-vertex statistical model are brilliant achievements in many-body statistical physics. A nonlinear equation, now known as the Yang-Baxter equation, is the key to the solution of both problems. The Yang-Baxter... more...

#### Completion of the Classification

De Gruyter 2013; US$ 168.00The problem of classifying the finite-dimensional simple Lie algebras over fields of characteristic p > 0 is a long-standing one. Work on this question during the last 45 years has been directed by the Kostrikin?Shafarevich Conjecture of 1966, which states that over an algebraically closed field of characteristic p > 5 a finite-dimensional... more...

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