Physical Combinatorics

Softcover Nachdruck of the original 1. Auflage 2000
ISBN: 978-1-4612-7121-5
Verlag: Birkhäuser Boston

Buch, Englisch, Band 191, 317 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 505 g

Reihe: Progress in Mathematics

Taking into account the various criss-crossing among mathematical subject, 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.

Zielgruppe

Research

Autoren/Hrsg.

Miwa, Tetsuji

Kashiwara, Masaki

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Mathematik Allgemein Diskrete Mathematik, Kombinatorik

Inhaltsverzeichnis

An Insertion Scheme for Cn Crystals.- On the Combinatorics of Forrester-Baxter Models.- Combinatorial R Matrices for a Family of Crystals: Cn(1) and A2n-1(2) Cases.- Theta Functions Associated with Affine Root Systems and the Elliptic Ruijsenaars Operators.- A Generalization of the q-Saalschütz Sum and the Burge Transform.- The Bethe Equation at q = 0, the Möbius Inversion Formula, and Weight Multiplicities I: The sl(2) Case.- Hidden E-Type Structures in Dilute A Models.- Canonical Bases of Higher-Level q-Deformed Fock Spaces and Kazhdan-Lusztig Polynomials.- Finite-Gap Difference Operators with Elliptic Coefficients and Their Spectral Curves.