Physical Combinatorics

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Masaki Kashiwara, Tetsuji Miwa
Springer Science & Business Media, Dec 6, 2012 - Mathematics - 317 pages

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.

 

Contents

On the Combinatorics of ForresterBaxter Models
49
C¹ and A Cases
105
Theta Functions Associated with Affine Root Systems and the Elliptic
140
A Generalization of the qSaalschütz Sum and the Burge Transform
163
The Bethe Equation at q 0 the Möbius Inversion Formula
185
Hidden EType Structures in Dilute A Models
217
Canonical Bases of HigherLevel qDeformed Fock Spaces
248
FiniteGap Difference Operators with Elliptic Coefficients
301
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