REPRESENTATION OF MOTIFS NEW ASPECT OF THE ROGERS-SZEGO POLYNOMIAL

被引：17

作者：

HIKAMI, K

机构：

[1] Department of Physics, Graduate School of Science, University of Tokyo, Tokyo 113, Hongo, 7-3-1, Bunkyo-ku

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 1995年 / 64卷 / 04期

关键词：

HALDANE-SHASTRY MODEL; POLYCHRONAKOS-FRAHM MODEL; YANGIAN; MOTIF; ROGERS-SZEGO POLYNOMIAL; SCHUR FUNCTION; YOUNG DIAGRAM; EXCLUSION STATISTICS;

D O I：

10.1143/JPSJ.64.1047

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the Yangian invariant eigenstates, ''motifs'', of the Haldane-Shastry type spin systems. We relate the Rogers-Szego polynomial to the representation of motifs through the partition function of the Haldane-Shastry type spin model. We further discuss the relationship between the generalized Rogers-Szego polynomial and the Yangian Y(su(n)).

引用

页码：1047 / 1050

页数：4

共 15 条

[1]

Andrews G. E., 1976, ENCY MATH ITS APPL, V2

[2] YANG-BAXTER EQUATION IN LONG-RANGE INTERACTING SYSTEMS [J].