---

＜電子ブック＞
Symmetries, Integrable Systems and Representations / edited by Kenji Iohara, Sophie Morier-Genoud, Bertrand Rémy
(Springer Proceedings in Mathematics & Statistics. ISSN:21941017 ; 40)

版	1st ed. 2013.
出版者	(London : Springer London : Imprint: Springer)
出版年	2013
大きさ	X, 638 p : online resource
著者標目	Iohara, Kenji editor Morier-Genoud, Sophie editor Rémy, Bertrand editor SpringerLink (Online service)
件　名	LCSH:Associative rings LCSH:Associative algebras LCSH:Special functions LCSH:Discrete mathematics LCSH:Mathematical physics LCSH:Elementary particles (Physics) LCSH:Quantum field theory FREE:Associative Rings and Algebras FREE:Special Functions FREE:Discrete Mathematics FREE:Mathematical Physics FREE:Mathematical Methods in Physics FREE:Elementary Particles, Quantum Field Theory
一般注記	A presentation of the deformed W1+1 algebra -- Generating series of the Poincaré 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 -- Padé interpolation for elliptic Painlevé 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 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 HTTP:URL=https://doi.org/10.1007/978-1-4471-4863-0

 類似資料