Symmetries, integrable systems and representations

Table of Contents

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   Book Overview
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   Chapter 1 A Presentation of the Deformed W 1+∞ Algebra
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   Chapter 2 Generating Series of the Poincaré Polynomials of Quasihomogeneous Hilbert Schemes
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   Chapter 3 PBW-filtration over ℤ and Compatible Bases for V ℤ(λ) in Type A n and C n
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   Chapter 4 On the Subgeneric Restricted Blocks of Affine Category $\mathcal{O}$ at the Critical Level
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   Chapter 5 Slavnov Determinants, Yang–Mills Structure Constants, and Discrete KP
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   Chapter 6 Monodromy of Partial KZ Functors for Rational Cherednik Algebras
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   Chapter 7 Category of Finite Dimensional Modules over an Orthosymplectic Lie Superalgebra: Small Rank Examples
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   Chapter 8 Monoidal Categorifications of Cluster Algebras of Type A and D
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    Chapter 9 A Classification of Roots of Symmetric Kac-Moody Root Systems and Its Application
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    Chapter 10 Fermions Acting on Quasi-local Operators in the XXZ Model
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    Chapter 11 The Romance of the Ising Model
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    Chapter 12 $A^{(1)}_{n}$ -Geometric Crystal Corresponding to Dynkin Index i =2 and Its Ultra-Discretization
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    Chapter 13 A ℤ 3 -Orbifold Theory of Lattice Vertex Operator Algebra and ℤ 3 -Orbifold Constructions
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    Chapter 14 Words, Automata and Lie Theory for Tilings
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    Chapter 15 Toward Berenstein-Zelevinsky Data in Affine Type A , Part III: Proof of the Connectedness
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    Chapter 16 Quiver Varieties and Tensor Products, II
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    Chapter 17 Derivatives of Schur, Tau and Sigma Functions on Abel-Jacobi Images
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    Chapter 18 Padé Interpolation for Elliptic Painlevé Equation
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    Chapter 19 Non-commutative Harmonic Oscillators
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    Chapter 20 The Inversion Formula of Polylogarithms and the Riemann-Hilbert Problem
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    Chapter 21 Some Remarks on the Quantum Hall Effect
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    Chapter 22 Ordinary Differential Equations on Rational Elliptic Surfaces
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    Chapter 23 On the Spectral Gap of the Kac Walk and Other Binary Collision Processes on d -Dimensional Lattice
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    Chapter 24 A Restricted Sum Formula for a q -Analogue of Multiple Zeta Values
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    Chapter 25 A Trinity of the Borcherds Φ -Function
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    Chapter 26 Sum Rule for the Eight-Vertex Model on Its Combinatorial Line