Symmetries, Integrable Systems and Representations

• Corporate Author: SpringerLink (Online service)
• Other Authors: Iohara, Kenji. (Editor), Morier-Genoud, Sophie. (Editor), Rm̌y, Bertrand. (Editor)
• Format: Electronic
• Language: English
• Published: London : Springer London : Imprint: Springer, 2013.
• Series: Springer Proceedings in Mathematics & Statistics, 40
• Subjects: Mathematics.; Algebra.; Functions, special.; Combinatorics.; Mathematical physics.; Associative Rings and Algebras.; Special Functions.; Mathematical Physics.; Mathematical Methods in Physics.; Quantum Field Theories, String Theory.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-4471-4863-0

This volume is the result of two international workshops; Infinite Analysis 11 <U+0013> Frontier of Integrability <U+0013> held at University of Tokyo, Japan in July 25th to 29th, 2011, and Symmetries, Integrable Systems and Representations held at Universit ̌Claude Bernard Lyon 1, Franc...

Table of Contents:

• A presentation of the deformed W1+1 algebra
• Generating series of the Poincar ̌polynomials of quasihomogeneous Hilbert schemes
• PBW filtration over Z and compatible bases for VZ(_) in type An and Cn
• On the subgeneric restricted blocks of affine category O at the critical level
• Slavnov determinants, Yang-Mills structure constants, and discrete KP
• Monodromy of partial KZ functors for rational Cherednik algebras
• Category of finite dimensional modules over an orthosymplectic Lie superalgebra: small rank examples
• Monoidal categorifications of cluster algebras of type A and D
• A classification of roots of symmetric Kac-Moody root systems and its application
• Fermions acting on quasi-local operators in the XXZ model
• The Romance of the Ising Model
• A(1) n -Geometric Crystal corresponding to Dynkin index i = 2 and its ultra-discretization
• A Z3-orbifold theory of lattice vertex operator algebra and Z3-orbifold constructions
• Words, automata and Lie theory for tilings
• Toward Berenstein-Zelevinsky data in affine type A, part III: Proof of the connectedness
• Quiver varieties and tensor products, II
• Derivatives of Schur, Tau and Sigma Functions on Abel-Jacobi Images
• Pad ̌interpolation for elliptic Painlev ̌equation
• Non-commutative harmonic oscillators
• The inversion formula of polylogarithms and the Riemann-Hilbert problem
• Some remarks on the Quantum Hall Effect
• Ordinary differential equations on rational elliptic surfaces
• On the spectral gap of the Kac walk and other binary collision processes on d-dimensional lattice
• A restricted sum formula for a q-analogue of multiple zeta values
• A trinity of the Borcherds _-function
• Sum rule for the eight-vertex model on its combinatorial line.