Physical Combinatorics by Masaki Kashiwara (PDF)

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    Ebook Info

    • Published: 2012
    • Number of pages: 332 pages
    • Format: PDF
    • File Size: 14.10 MB
    • Authors: Masaki Kashiwara

    Description

    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.

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