Physical Combinatorics

Masaki Kashiwara, Tetsuji Miwa (Herausgeber)

Buch | Softcover

317 Seiten

2012 | Softcover reprint of the original 1st ed. 2000
Springer-Verlag New York Inc.
978-1-4612-7121-5 (ISBN)

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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.

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.

Reihe/Serie	Progress in Mathematics ; 191
Zusatzinfo	IX, 317 p.
Verlagsort	New York
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Graphentheorie
	Medizin / Pharmazie ► Allgemeines / Lexika
	Naturwissenschaften ► Physik / Astronomie
ISBN-10	1-4612-7121-5 / 1461271215
ISBN-13	978-1-4612-7121-5 / 9781461271215
Zustand	Neuware