Symmetries, Integrable Systems and Representations


ISBN: 978-1-4471-4862-3 (Print) 978-1-4471-4863-0 (Online)

Table of contents (26 chapters)

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  1. Front Matter

    Pages I-X

  2. Chapter

    Pages 1-13

    A Presentation of the Deformed W 1+∞ Algebra

  3. Chapter

    Pages 15-33

    Generating Series of the Poincaré Polynomials of Quasihomogeneous Hilbert Schemes

  4. Chapter

    Pages 35-63

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

  5. Chapter

    Pages 65-84

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

  6. Chapter

    Pages 85-132

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

  7. Chapter

    Pages 133-154

    Monodromy of Partial KZ Functors for Rational Cherednik Algebras

  8. Chapter

    Pages 155-173

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

  9. Chapter

    Pages 175-193

    Monoidal Categorifications of Cluster Algebras of Type A and D

  10. Chapter

    Pages 195-241

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

  11. Chapter

    Pages 243-261

    Fermions Acting on Quasi-local Operators in the XXZ Model

  12. Chapter

    Pages 263-295

    The Romance of the Ising Model

  13. Chapter

    Pages 297-318

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

  14. Chapter

    Pages 319-344

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

  15. Chapter

    Pages 345-359

    Words, Automata and Lie Theory for Tilings

  16. Chapter

    Pages 361-402

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

  17. Chapter

    Pages 403-428

    Quiver Varieties and Tensor Products, II

  18. Chapter

    Pages 429-462

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

  19. Chapter

    Pages 463-482

    Padé Interpolation for Elliptic Painlevé Equation

  20. Chapter

    Pages 483-490

    Non-commutative Harmonic Oscillators

  21. Chapter

    Pages 491-496

    The Inversion Formula of Polylogarithms and the Riemann-Hilbert Problem

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