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Symmetries, Integrable Systems and Representations

  • Conference proceedings
  • © 2013

Overview

Editors:
  1. Kenji Iohara

    1. Inst. Camille Jordan, UMR5028 CNRS, Université Claude Bernard Lyon 1, Villeurbanne Cedex, France

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  2. Sophie Morier-Genoud

    1. Inst. de Mathém. de Jus., UMR 7586 CNRS, Université Pierre et Marie Curie, Paris, France

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  3. Bertrand Rémy

    1. Inst. Camille Jordan, UMR5028 CNRS, Université Claude Bernard Lyon I, Villeurbanne Cedex, France

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Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 40)

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Table of contents (26 papers)

  1. Front Matter

    Pages I-X
    Download chapter PDF

  2. A Presentation of the Deformed W 1+∞ Algebra

    • N. Arbesfeld, O. Schiffmann
    Pages 1-13

  3. Generating Series of the Poincaré Polynomials of Quasihomogeneous Hilbert Schemes

    • A. Buryak, B. L. Feigin
    Pages 15-33

  4. PBW-filtration over ℤ and Compatible Bases for V ℤ(λ) in Type A n and C n

    • Evgeny Feigin, Ghislain Fourier, Peter Littelmann
    Pages 35-63

  5. On the Subgeneric Restricted Blocks of Affine Category \(\mathcal{O}\) at the Critical Level

    • Peter Fiebig
    Pages 65-84

  6. Slavnov Determinants, Yang–Mills Structure Constants, and Discrete KP

    • Omar Foda, Michael Wheeler
    Pages 85-132

  7. Monodromy of Partial KZ Functors for Rational Cherednik Algebras

    • Iain G. Gordon, Maurizio Martino
    Pages 133-154

  8. Category of Finite Dimensional Modules over an Orthosymplectic Lie Superalgebra: Small Rank Examples

    • Caroline Gruson, Vera Serganova
    Pages 155-173

  9. Monoidal Categorifications of Cluster Algebras of Type A and D

    • David Hernandez, Bernard Leclerc
    Pages 175-193

  10. A Classification of Roots of Symmetric Kac-Moody Root Systems and Its Application

    • Kazuki Hiroe, Toshio Oshima
    Pages 195-241

  11. Fermions Acting on Quasi-local Operators in the XXZ Model

    • Michio Jimbo, Tetsuji Miwa, Feodor Smirnov
    Pages 243-261

  12. The Romance of the Ising Model

    • Barry M. McCoy
    Pages 263-295

  13. \(A^{(1)}_{n}\)-Geometric Crystal Corresponding to Dynkin Index i=2 and Its Ultra-Discretization

    • Kailash C. Misra, Toshiki Nakashima
    Pages 297-318

  14. A ℤ3-Orbifold Theory of Lattice Vertex Operator Algebra and ℤ3-Orbifold Constructions

    • Masahiko Miyamoto
    Pages 319-344

  15. Words, Automata and Lie Theory for Tilings

    • Jun Morita
    Pages 345-359

  16. Toward Berenstein-Zelevinsky Data in Affine Type A, Part III: Proof of the Connectedness

    • Satoshi Naito, Daisuke Sagaki, Yoshihisa Saito
    Pages 361-402

  17. Quiver Varieties and Tensor Products, II

    • Hiraku Nakajima
    Pages 403-428

  18. Derivatives of Schur, Tau and Sigma Functions on Abel-Jacobi Images

    • Atsushi Nakayashiki, Keijiro Yori
    Pages 429-462

  19. Padé Interpolation for Elliptic Painlevé Equation

    • Masatoshi Noumi, Satoshi Tsujimoto, Yasuhiko Yamada
    Pages 463-482

  20. Non-commutative Harmonic Oscillators

    • Hiroyuki Ochiai
    Pages 483-490
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Keywords

About this book

This volume is the result of two international workshops; Infinite Analysis 11 – Frontier of Integrability – held at University of Tokyo, Japan in July 25th to 29th, 2011, and Symmetries, Integrable Systems and Representations held at Université Claude Bernard Lyon 1, France in December 13th to 16th, 2011.

Included are research articles based on the talks presented at the workshops, latest results obtained thereafter, and some review articles. The subjects discussed range across diverse areas such as algebraic geometry, combinatorics, differential equations, integrable systems, representation theory, solvable lattice models and special functions.

Through these topics, the reader will find some recent developments in the field of mathematical physics and their interactions with several other domains.

Editors and Affiliations

  • Inst. Camille Jordan, UMR5028 CNRS, Université Claude Bernard Lyon 1, Villeurbanne Cedex, France

    Kenji Iohara

  • Inst. de Mathém. de Jus., UMR 7586 CNRS, Université Pierre et Marie Curie, Paris, France

    Sophie Morier-Genoud

  • Inst. Camille Jordan, UMR5028 CNRS, Université Claude Bernard Lyon I, Villeurbanne Cedex, France

    Bertrand Rémy

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