| Physical Combinatorics Contributor(s): Kashiwara, Masaki (Author), Miwa, Tetsuji (Author), Kashiwara, M. (Editor) |
|
 |
ISBN: 0817641750 ISBN-13: 9780817641757 Publisher: Birkhauser OUR PRICE: $94.05 Product Type: Hardcover - Other Formats Published: June 2000 Annotation: 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. For example, Young tableaux, which describe the basis of irreducible representations, appear in the Bethe Ansatz method in quantum spin chains as labels for the eigenstates for Hamiltonians. 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 volume will be of interest to mathematical physicists and graduate students in the the above-mentioned fields. Contributors to the volume: T.H. Baker, O. Foda, G. Hatayama, Y. Komori, A. Kuniba, T. Nakanishi, M. Okado, A. Schilling, J. Suzuki, T. Takagi, D. Uglov, O. Warnaar, T.A. Welsh, A. Zabrodin |
| Additional Information |
| BISAC Categories: - Mathematics | Combinatorics - Medical |
| Dewey: 511.6 |
| LCCN: 00037945 |
| Series: Progress in Mathematics |
| Physical Information: 0.78" H x 6.39" W x 9.56" (1.28 lbs) 332 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: This work is concerned with combinatorial aspects arising in the theory of exactly solvable models and representation theory. Developments in integrable models reveal an unexpected link between representation theory and statistical mechanics through combinatorics. For example, Young tableaux, which describe the basis of irreducible representations, appear in the Bethe Ansatz method in quantum spin chains as labels for the eigenstates of Hamiltonians. this text presents results and ideas from three viewpoints: representation theory; integrable models; and combinatorics. |