A5001366663- Particle physics theoretical and experimental studies
- Algebraic structures and combinatorial models
- Advanced Topics in Algebra
- Quantum Chromodynamics and Particle Interactions
- Nonlinear Waves and Solitons
- Black Holes and Theoretical Physics
- Particle Accelerators and Free-Electron Lasers
- Dark Matter and Cosmic Phenomena
- Distributed and Parallel Computing Systems
- Cosmology and Gravitation Theories
- Advanced Algebra and Geometry
- High-Energy Particle Collisions Research
- Superconducting Materials and Applications
- Particle Detector Development and Performance
- Advanced Combinatorial Mathematics
- graph theory and CDMA systems
- Coding theory and cryptography
- Advanced Data Storage Technologies
- Scientific Research and Discoveries
- Optimal Experimental Design Methods
- Particle accelerators and beam dynamics
- Quantum chaos and dynamical systems
- Manufacturing Process and Optimization
- Planetary Science and Exploration
- Product Development and Customization
Chiba University of Commerce
2010-2018
Rikkyo University
1986-2017
Ferris University
2013
Kogakuin University
2013
Meiji Gakuin University
2013
Western Michigan University
2013
Seikei University
2013
High Energy Accelerator Research Organization
2013
Indiana University – Purdue University Indianapolis
2011-2012
Kyoto University
1985-2012
We begin a study of the representation theory quantum continuous gl∞, which we denote by E. This algebra depends on two parameters and is deformed version enveloping Lie difference operators acting space Laurent polynomials in one variable. Fundamental representations E are labeled parameter u∈C. The has many properties familiar from gl∞: vector representations, Fock modules, semiinfinite constructions modules. Using tensor products construct surjective homomorphisms to spherical double...
In this, the third paper of series, we construct a large family representations quantum toroidal gl 1 -algebra whose bases are parameterized by plane partitions with various boundary conditions and restrictions.We study corresponding formal characters.As an application obtain Gelfand-Zetlin-type basis for class irreducible lowest weight ∞ -modules.
For the study of reactions in High Energy Physics (HEP) automatic computation systems have been developed and are widely used nowadays. GRACE is one such it has achieved much success analyzing experimental data. Since we deal with cross section whose value can be given by calculating hundreds Feynman diagrams, manage large scale calculation, so that effective symbolic manipulation, treat singularity numerical integration required. The talk will describe software design system computational...
We construct a family of irreducible representations the quantum continuous $gl_\infty$ whose characters coincide with in minimal models $W_n$ algebras $gl_n$ type. In particular, we obtain simple combinatorial model for all $W_n$-algebras appearing terms $n$ interrelating partitions.
Iorgov, Lisovyy and Teschner established a connection between isomonodromic deformation of linear differential equations Liouville conformal field theory at |$c=1$|. In this article, we present |$q$| analogue their construction. We show that the general solution |$q$|-Painlevé VI equation is ratio four tau functions, each which given by combinatorial series arising in AGT correspondence. also propose conjectural bilinear for functions. Communicated by: Masatoshi Noumi
We establish the method of Bethe ansatz for XXZ type model obtained from R-matrix associated to quantum toroidal gl(1). do that by using shuffle realizations modules and showing Hamiltonian is a simple multiplication operator taking an appropriate quotient. expect this approach be applicable wide variety models.
Symmetric polynomials vanishing on the shifted diagonals and Macdonald Get access B. Feigin, Feigin Search for other works by this author on: Oxford Academic Google Scholar M. Jimbo, Jimbo T. Miwa, Miwa E. Mukhin International Mathematics Research Notices, Volume 2003, Issue 18, Pages 1015–1034, https://doi.org/10.1155/S1073792803209119 Published: 01 January 2003 Article history Received: 16 September 2002 Accepted: 09 February
A differential ideal of symmetric polynomials spanned by Jack at rβ = -(r=1)/(k+1) Get access B. Feigin, Feigin Search for other works this author on: Oxford Academic Google Scholar M. Jimbo, Jimbo T. Miwa, Miwa E. Mukhin International Mathematics Research Notices, Volume 2002, Issue 23, Pages 1223–1237, https://doi.org/10.1155/S1073792802112050 Published: 01 January 2002 Article history Received: 11 December 2001 Revision received: February Accepted: 28 March
New improved upper and lower bounds on the maximum size of a symmetric or arbitrary conflict-avoiding code length n = 4 m for three active users are proved. Furthermore, direct constructions optimal codes equiv 2 (mod 4) provided.
We define and study representations of quantum toroidal $gl_n$ with natural bases labeled by plane partitions various conditions. As an application, we give explicit description a family highest weight affine generic level.
We construct an analog of the subalgebra $Ugl(n)\otimes Ugl(m)$ $Ugl(m+n)$ in setting quantum toroidal algebras and study restrictions various representations to this subalgebra.
We present the renormalization scheme used in and characteristic features of $\mathtt{G}\mathtt{R}\mathtt{A}\mathtt{C}\mathtt{E}/\mathtt{S}\mathtt{U}\mathtt{S}\mathtt{Y}\mathtt{\ensuremath{-}}\mathtt{l}\mathtt{o}\mathtt{o}\mathtt{p}$, package program for automatic calculation minimal supersymmetric standard model processes including one-loop order corrections. The two-body three-body decay widths charginos evaluated by...
Iorgov, Lisovyy, and Teschner established a connection between isomonodromic deformation of linear differential equations Liouville conformal field theory at $c=1$. In this paper we present $q$ analog their construction. We show that the general solution $q$-Painlev\'e VI equation is ratio four tau functions, each which given by combinatorial series arising in AGT correspondence. also propose conjectural bilinear for functions.
Review of Monte Carlo event generators for signals new particles at LEP2. The areas covered include SUSY, HIGGS and Leptoquarks.
Within the framework of minimal supersymmetric (SUSY) standard model, we investigate one-loop effects particles on third-generation fermion-pair production at International Linear Collider. Three sets SUSY parameters are proposed that consistent with observed Higgs mass, muon |$g$|-|$2$|, dark matter abundance, and decay branching ratios B meson. We discuss possibility discovering signals SUSY, as well experimentally distinguishing parameters.