|
|||||
|
|
Characters of Demazure modules and solvable lattice models |
|
| Authors: | Atsuo Kuniba Kailash C Misra Masato Okado Taichiro Takagi Jun Uchiyama |
| Institution: | a Institute of Physics, University of Tokyo, Komaba, Tokyo 153, Japan b Department of Mathematics, North Carolina State University, Raleigh, NC 27695-8205, USA c Department of Mathematical Science, Faculty of Engineering Science, Osaka University, Toyonaka, Osaka 560, Japan d Department of Mathematics and Physics, National Defense Academy, Yokosuka 239, Japan e Department of Physics, Rikkyo University, Nishi-Ikebukuro, Tokyo 171, Japan |
| Abstract: | We study the path realization of Demazure crystals related to solvable lattice models in statistical mechanics. Various characters are represented in a unified way as the sums over one-dimensional configurations which we call unrestricted, classically restricted and restricted paths. As an application, characters of Demazure modules are obtained in terms of q-multinomial coefficients for several level-1 modules of classical affine algebras. |
| Keywords: | Solvable lattice models Quantum affine algebras Crystal base Paths Demazure modules sep Characters |
| 本文献已被 ScienceDirect 等数据库收录！ | |