Physical Combinatorics

Physical Combinatorics by Masaki Kashiwara, published by Birkhäuser Boston on October 15, 2012, is a softcover reprint of the original 1st edition from 2000. This book explores the intersections of various mathematical subjects, focusing on new results and ideas from representation theory, integrable models, and combinatorics. It addresses the combinatorial aspects that emerge in the context of exactly solvable models and representation theory, providing insights into the connections between these fields.
Readers will find a detailed examination of how recent developments in integrable models reveal a surprising relationship between representation theory and statistical mechanics through combinatorial methods. The book spans 317 pages and is presented in English, making it accessible to a wide audience interested in mathematics, discrete mathematics, and their applications in science and physics. This edition offers a comprehensive look at the evolving landscape of physical combinatorics, inviting readers to engage with its complex ideas and findings.
Official synopsis Publisher
Taking into account the various criss-crossing among mathematical subject, Physical Combinatorics presents new results and exciting ideas from three viewpoints; representation theory, integrable models, and combinatorics. This work is concerned with combinatorial aspects arising in the theory of exactly solvable models and representation theory. Recent developments in integrable models reveal an unexpected link between representation theory and statistical mechanics through combinatorics.
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