YANG-BAXTER OPERATORS ASSOCIATED WITH QUASI-CASIMIR ELEMENTS IN THE SETTING OF SIMPLE LACED ROOT-SYSTEMS

数学物理学报(英文版) ›› 1999, Vol. 19 ›› Issue (1): 15-25.

YANG-BAXTER OPERATORS ASSOCIATED WITH QUASI-CASIMIR ELEMENTS IN THE SETTING OF SIMPLE LACED ROOT-SYSTEMS

汪振华

Department of Mathematics, East China Normal University, Shanghai 200062, China

收稿日期:1996-11-25 出版日期:1999-03-02 发布日期:1999-03-02

YANG-BAXTER OPERATORS ASSOCIATED WITH QUASI-CASIMIR ELEMENTS IN THE SETTING OF SIMPLE LACED ROOT-SYSTEMS

HONG Zhen-Hua

Department of Mathematics, East China Normal University, Shanghai 200062, China

Received:1996-11-25 Online:1999-03-02 Published:1999-03-02

摘要/Abstract

摘要：

In this paper, author studies the rigidity of quasi-Casimir elements, and associate
them with root-systems. Moreover, Yang-Baxter operators are constructed as compositions
of quasi-Casimir elements and quasi-transpositions .

关键词: Quasi-Casimir element, Yang-Baxter operators

Abstract:

Key words: Quasi-Casimir element, Yang-Baxter operators

中图分类号:

47S99

汪振华. YANG-BAXTER OPERATORS ASSOCIATED WITH QUASI-CASIMIR ELEMENTS IN THE SETTING OF SIMPLE LACED ROOT-SYSTEMS[J]. 数学物理学报(英文版), 1999, 19(1): 15-25.

HONG Zhen-Hua. YANG-BAXTER OPERATORS ASSOCIATED WITH QUASI-CASIMIR ELEMENTS IN THE SETTING OF SIMPLE LACED ROOT-SYSTEMS[J]. Acta mathematica scientia,Series B, 1999, 19(1): 15-25.

YANG-BAXTER OPERATORS ASSOCIATED WITH QUASI-CASIMIR ELEMENTS IN THE SETTING OF SIMPLE LACED ROOT-SYSTEMS

YANG-BAXTER OPERATORS ASSOCIATED WITH QUASI-CASIMIR ELEMENTS IN THE SETTING OF SIMPLE LACED ROOT-SYSTEMS

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