喜欢读"Introduction to Lie Algebras and Representation Theory"的人也喜欢 ··· 环与代数 Fourier Analysis on Number Fields... Functional Analysis (Springer Clas... 同调代数导论 9.8 拓扑群引论 代数几何II Algebra 9.0 代数拓扑 Algebraic Geometry 9.4 代数学(上册) 7.9 我来说两句 短...
This book is designed to introduce the reader to the theory of semisimple Lie algebras over an algebraically closed field of characteristic 0, with emphasis on representations. A good knowledge of linear algebra (including eigenvalues, bilinear forms, euclidean spaces, and tensor products of vector ...
Lie AlgebraSU(4)In this paper we give a new representation for the Lie unimodular group SU(4). Both the nonzero structure constant fkµν and the symmetric invariant tensor dkµν one calculated. We also bring out a new representation of SU(4) in terms of Pauli matrices constructed. ...
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 is provided than in most classic texts on the subject. In addition to its accessible treatment of the basic theory of Lie groups and Lie ...
According to Sophus Lie, every local representation of a Lie group G by linear transformations is generated by a representation of the Lie algebra L Gof G. The matrices of this representation are...doi:10.1007/978-3-642-51599-6_14Bartel Leenert van der Waerden...
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...
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...
Thread starter lpetrich Start date Nov 1, 2011 Tags Representation In summary: ...have a general algorithm for finding the adjoint in the symmetric power, which is not always the same as the adjoint in the original algebra's adjoint...have a general algorithm for finding the adjoint in the...
在第四章后面紧Lie群的表示里,对比GTM222可以发现Varadarajan更频繁地使用泛包络代数(universal enveloping algebra)。在这种情况下,书中出现许多纯粹线性代数的引理就更加增加理解上的难度了,可能不太容易看,不过其实很有美感(笑)。最后,写作年代比较早(似乎是60年代),所以一些语言和现在可能不太一样。但我看的时候...
This allows the reader to see roots, weights, and the Weyl group "in action" in simple cases before confronting the general theory. The standard books on Lie theory begin immediately with the general case:a smooth manifold that is also a group. The Lie algebra is then defined as the ...