eBook - PDF

Yang-baxter Equation And Quantum Enveloping Algebras

Name: Yang-baxter Equation And Quantum Enveloping Algebras
ISBN: 9789814354448

Zhong-qi Ma,

328 pages
English
PDF
Available on iOS & Android

eBook - PDF

Yang-baxter Equation And Quantum Enveloping Algebras

Zhong-qi Ma,

About this book

The 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 equation has also come to play an important role in such diverse topics as completely integrable statistical models, conformal and topological field theories, knots and links, braid groups and quantum enveloping algebras.This pioneering textbook attempts to make accessible results in this rapidly-growing area of research. The author presents the mathematical fundamentals at the outset, then develops an intuitive understanding of Hopf algebras, quantisation of Lie bialgebras and quantum enveloping algebras. The historical derivation of the Yang-Baxter equation from statistical models is recounted, and the interpretation and solution of the equation are systematically discussed. Throughout, emphasis is placed on acquiring calculation skills through physical understanding rather than achieving mathematical rigour.Originating from the author's own research experience and lectures, this book will prove both an excellent graduate text and a useful work of reference.

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Yes, you can access Yang-baxter Equation And Quantum Enveloping Algebras by Zhong-qi Ma in PDF and/or ePUB format, as well as other popular books in Ciencias físicas & Física matemática y computacional. We have over one million books available in our catalogue for you to explore.