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2000•Journal of Southwest Jiaotong UniversityRequires access

An Introduction to Hopf Algebras, Yang-Baxter Equation and Quantum Groups

Wang Ming-yi

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Abstract

It is well known that Hopf algebras, YangBaxter and quantum groups are three main research directions in modern mathematics and come from three different disciplines. In this paper, the development of Hopf algebras, the origin of YangBaxter and the prevailing of quantum groups are introduced. In addition, the close connections among them are presented, in which some points of view are due to the author of this paper.

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What this paper is about

It is well known that Hopf algebras, YangBaxter and quantum groups are three main research directions in modern mathematics and come from three different disciplines. In this paper, the development of Hopf algebras, the origin of YangBaxter and the prevailing of quantum groups are introduced. In addition, the close connections among them are presented, in which some points of view are due to the author of this paper.

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Available abstract

It is well known that Hopf algebras, YangBaxter and quantum groups are three main research directions in modern mathematics and come from three different disciplines. In this paper, the development of Hopf algebras, the origin of YangBaxter and the prevailing of quantum groups are introduced. In addition, the close connections among them are presented, in which some points of view are due to the author of this paper.

Key concepts: Hopf algebra, Quantum group, Quantum, Mathematics, Pure mathematics, Algebra over a field, Group (periodic table), Theoretical physics

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