《量子超代數Uq(gl(m,n))及單位根時的表示(英文版)》是2016年科學出版社出版的圖書，作者是Chaowen Zhang。
基本介紹
- 中文名：量子超代數Uq(gl(m,n))及單位根時的表示(英文版
- 作者：Chaowen Zhang
- 出版時間：2016年1月
- 出版社：科學出版社
- ISBN：9787030497024
- 類別：數學
內容簡介,圖書目錄,
內容簡介
Let g=g 0+gI be the general linear Lie superalgebra gl(m, n) over a field h (16), and let U(q) be its universal enveloping superalgebra. In this paper we study the representation theory of the quantum deformation of U(g) (defined in [31]) at roots of unity, and the connection of which with the representation theory of the general linear supergroup GL(m, n). .
圖書目錄
Chapter 1 Preliminaries
Chapter 2 Generators and relations of U(g)
Chapter 3 The quantum deformation of U(g)
Chapter 4 The Hopf superalgebra *<sub>q</sub>
Chapter 5 Triangular decompositions of U<sub>q</sub>
Chapter 6 Highest weight modules for U<sub>q</sub>
Chapter 7 The superalgebra U<sub>A</sub>
Chapter 8 The PBW theorem
Chapter 9 Generators and relations of U<sub>A</sub>
Chapter 10 Simple modules for GL(m; n)
Chapter 11 Reprsentations of U<sub>q</sub> at roots of unity
Appendix
Bibliography
