Iohara, Kenji

Symmetries, Integrable Systems and Representations

Iohara, Kenji - Symmetries, Integrable Systems and Representations, ebook


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Table of contents

1. A Presentation of the Deformed W
1+∞ Algebra
N. Arbesfeld, O. Schiffmann

2. Generating Series of the Poincaré Polynomials of Quasihomogeneous Hilbert Schemes
A. Buryak, B. L. Feigin

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

and C


Evgeny Feigin, Ghislain Fourier, Peter Littelmann

4. On the Subgeneric Restricted Blocks of Affine Category O at the Critical Level
Peter Fiebig

5. Slavnov Determinants, Yang–Mills Structure Constants, and Discrete KP
Omar Foda, Michael Wheeler

6. Monodromy of Partial KZ Functors for Rational Cherednik Algebras
Iain G. Gordon, Maurizio Martino

7. Category of Finite Dimensional Modules over an Orthosymplectic Lie Superalgebra: Small Rank Examples
Caroline Gruson, Vera Serganova

8. Monoidal Categorifications of Cluster Algebras of Type A and D

David Hernandez, Bernard Leclerc

9. A Classification of Roots of Symmetric Kac-Moody Root Systems and Its Application
Kazuki Hiroe, Toshio Oshima

10. Fermions Acting on Quasi-local Operators in the XXZ Model
Michio Jimbo, Tetsuji Miwa, Feodor Smirnov

11. 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

13. A ℤ3-Orbifold Theory of Lattice Vertex Operator Algebra and ℤ3-Orbifold Constructions
Masahiko Miyamoto

14. Words, Automata and Lie Theory for Tilings
Jun Morita

15. Toward Berenstein-Zelevinsky Data in Affine Type A, Part III: Proof of the Connectedness
Satoshi Naito, Daisuke Sagaki, Yoshihisa Saito

16. Quiver Varieties and Tensor Products, II
Hiraku Nakajima

17. Derivatives of Schur, Tau and Sigma Functions on Abel-Jacobi Images
Atsushi Nakayashiki, Keijiro Yori

18. Padé Interpolation for Elliptic Painlevé Equation
Masatoshi Noumi, Satoshi Tsujimoto, Yasuhiko Yamada

19. Non-commutative Harmonic Oscillators
Hiroyuki Ochiai

20. The Inversion Formula of Polylogarithms and the Riemann-Hilbert Problem
Shu Oi, Kimio Ueno

21. Some Remarks on the Quantum Hall Effect
Vincent Pasquier

22. Ordinary Differential Equations on Rational Elliptic Surfaces
Hidetaka Sakai

23. On the Spectral Gap of the Kac Walk and Other Binary Collision Processes on d-Dimensional Lattice
Makiko Sasada

24. A Restricted Sum Formula for a q-Analogue of Multiple Zeta Values
Yoshihiro Takeyama

25. A Trinity of the Borcherds Φ-Function
Ken-Ichi Yoshikawa

26. Sum Rule for the Eight-Vertex Model on Its Combinatorial Line
Paul Zinn-Justin

Keywords: Mathematics, Associative Rings and Algebras, Special Functions, Combinatorics, Mathematical Physics, Mathematical Methods in Physics, Quantum Field Theories, String Theory

Publication year
Springer Proceedings in Mathematics & Statistics
Natural Sciences

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