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Title Symmetries, integrable systems and representations / Kenji Iohara, Sophie Morier-Genoud, Bertrand Rémy, editors
Published London ; New York : Springer, ©2013

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Description 1 online resource
Series Springer proceedings in mathematics & statistics ; v. 40
Springer proceedings in mathematics & statistics ; v. 40
Contents A Presentation of the Deformed W ₁+[infinity] Algebra / N. Arbesfeld, O. Schiffmann -- Generating Series of the Poincaré Polynomials of Quasihomogeneous Hilbert Schemes / A. Buryak, B.L. Feigin -- PBW-filtration over Z and Compatible Bases for V Z([lambda]) in Type A n and C n / Evgeny Feigin, Ghislain Fourier -- On the Subgeneric Restricted Blocks of Affine Category O at the Critical Level / Peter Fiebig -- Slavnov Determinants, Yang-Mills Structure Constants, and Discrete KP / Omar Foda, Michael Wheeler -- Monodromy of Partial KZ Functors for Rational Cherednik Algebras / Iain G. Gordon, Maurizio Martino -- Category of Finite Dimensional Modules over an Orthosymplectic Lie Superalgebra: Small Rank Examples / Caroline Gruson, Vera Serganova -- Monoidal Categorifications of Cluster Algebras of Type A and D / David Hernandez, Bernard Leclerc
Derivatives of Schur, Tau and Sigma Functions on Abel-Jacobi Images / Atsushi Nakayashiki, Keijiro Yori -- Padé Interpolation for Elliptic Painlevé Equation / Masatoshi Noumi, Satoshi Tsujimoto -- Non-commutative Harmonic Oscillators / Hiroyuki Ochiai -- The Inversion Formula of Polylogarithms and the Riemann-Hilbert Problem / Shu Oi, Kimio Ueno Some Remarks on the Quantum Hall Effect / Vincent Pasquier -- Ordinary Differential Equations on Rational Elliptic Surfaces / Hidetaka Sakai -- On the Spectral Gap of the Kac Walk and Other Binary Collision Processes on d-Dimensional Lattice / Makiko Sasada -- A Restricted Sum Formula for a q-Analogue of Multiple Zeta Values / Yoshihiro Takeyama -- A Trinity of the Borcherds [phi]-Function / Ken-Ichi Yoshikawa -- Sum Rule for the Eight-Vertex Model on Its Combinatorial Line / Paul Zinn-Justin
A Classification of Roots of Symmetric Kac-Moody Root Systems and Its Application / Kazuki Hiroe, Toshio Oshima -- Fermions Acting on Quasi-local Operators in the XXZ Model / Michio Jimbo, Tetsuji Miwa, Feodor Smirnov -- The Romance of the Ising Model / Barry M. McCoy -- A(¹)n -Geometric Crystal Corresponding to Dynkin Index i=2 and Its Ultra-Discretization / Kailash C. Misra, Toshiki Nakashima -- A Z₃-Orbifold Theory of Lattice Vertex Operator Algebra and Z₃-Orbifold Constructions / Masahiko Miyamoto -- Words, Automata and Lie Theory for Tilings / Jun Morita -- Toward Berenstein-Zelevinsky Data in Affine Type A, Part III: Proof of the Connectedness / Satoshi Naito, Daisuke Sagaki -- Quiver Varieties and Tensor Products, II / Hiraku Nakajima
Summary 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
Bibliography Includes bibliographical references
Notes Print version record
Subject Mathematics.
Symmetry (Mathematics)
Representations of algebras.
Mathematics
MATHEMATICS -- Essays.
MATHEMATICS -- Pre-Calculus.
MATHEMATICS -- Reference.
Matemáticas
Representaciones de álgebras
Mathematics
Representations of algebras
Symmetry (Mathematics)
Form Electronic book
Author Iohara, Kenji
Morier-Genoud, Sophie
Rémy, Bertrand
ISBN 9781447148630
1447148630
1447148622
9781447148623
9781283933483
1283933489