Detailed proofs are includedand some recent results are discussed in the last chapters. All theprerequisites on commutative algebra and algebraic geometry are included.
当当瑞银科技图书专营店在线销售正版《正版书 李代数和代数群 陶威尔 著 世图科技 Lie Algebras and Algebraic Groups 高校高等数学研究生教材用书》。最新《正版书 李代数和代数群 陶威尔 著 世图科技 Lie Algebras and Algebraic Groups 高校高等数学研究生教材用书》简介
This chapter establishes the Lie algebra technique for the structure and representation theory of algebraic groups. Section 1 contains only special field-theoretical preparations. Section 2 develops the connections between the algebraic subgroups of an algebraic groupGand the sub Lie algebras ofL(G) full...
The relationship between Lie algebras and Lie groups is of great importance. Let the Lie algebra be g and the corresponding Lie group G. The relation is \displaystyle{ \text{Lie algebra}\qquad g \ni X_{i}\mathrm{\ \ }(i = 1,\ldots,r) } (4.1) \displaystyle{ \text{Lie group...
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Some knowledge of algebra and calculus is required of the reader, but the text is easil... (展开全部) 丛书信息 ··· Lecture Notes in Mathematics(共523册),这套丛书还有 《Singularities, Representation of Algebras, and Vector Bundles》《Introduction to Algebraic Independence Theory》《Topology...
We analyze the complex Lie algebra (and group) of type $G_2$ as well as the two real Lie algebras of type $G_2$, the split and the compact one. Octonions will appear, but it is not the starting point. Also, 3-forms ... C Draper 被引量: 10发表: 2017年 Transformation groups ...
被引量: 115发表: 1972年 Algorithmically insoluble problems about finitely presented solvable groups, lie and associative algebras, II Belinfante, Johan G. F.; Kolman, Bernhard GR Strebel - 《Journal of Algebra》 被引量: 60发表: 1985年 加载更多来源...
This textbook treats Lie groups, Lie algebras and their representations in an elementary but fully rigorous fashion requiring minimal prerequisites. In particular, the theory of matrix Lie groups and their Lie algebras is developed using only linear algebra, and more motivation and intuition for proofs...
In order to make the book as self-contained as possible we briefly outline the connection between Lie groups and Lie algebras using the familiar concepts of matrices and linear algebra. The special orthogonal groups in 2 and 3 dimensions, SO(2) and SO(3), are used as familiar examples. It...