Symmetries, integrable systems and representations

Symmetries, integrable systems and representations

by Iohara, Kenji Morier-Genoud, Sophie Rémy, Bertrand

Type Book
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"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 …

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Title Statements

  • Full title :Symmetries, integrable systems and representations / edited by Kenji Iohara, Sophie Morier-Genoud, Bertrand Remy.

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."--Publisher's website.

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Edition Statements

  • Publication Date:2012.

Publication Statements

  • Publisher(s):Springer
  • Place of Publication:London
  • Language:eng
  • Publication Date:2012.

The Physical Object

  • Description:pages.

Edition Identifiers

  • ISBN:9781447148623, 1447148622, 9781447148630, 1447148630
  • oclc:ocn817262499
  • LC Classification:QA
  • Dewey Decimal:510

Table of Contents

A presentation of the deformed W₁₊[infinity] algebra / N. Arbesfeld and O. Schiffmann -- Generating series of the Poincaré polynominals of quasihomogeneous Hilbert schemes / A. Buryak and B.L. Feigin -- PBW-filtration over Z and compatible bases for V[subscript z]([lambda]) in type A[subscript n] and C [subscript n] / Evgeny Feigin, Ghislain Fourier, and Peter Littelmann -- On the subgenic restricted blocks of affine category [boundary] at the critical level / Peter Fiebig -- Slavnov determinants, Yang-Mills structure constants, and discrete KP / Omar Foda and Michael Wheeler -- Monodromy of partial KZ functors for rational Cherednik algebras / Iain G. Gordon and Maurizio Martino -- Category of finite dimensional modules over an orthosymplectic Lie superalgebra: small rank examples / Caroline Gruson and Vera Serganova -- Monoidal categorifications of cluster algebras of type A and D / David Hernandez and Bernard Leclerc -- A classification of roots of symmetric Kac-Moody root systems and its application / Kazuki Hiroe and Toshio Oshima -- Fermions acting as quasi-local operators in the XXZ model / Michio Jimbo, Tetsuji Miwa, and Feodor Smirnov -- The romance of the Ising model / B…

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