Homogeneous and Symmetric Spaces (Coset Spaces)

作者: Francesco Iachello

DOI: 10.1007/978-3-662-44494-8_5

关键词:

摘要: Consider an algebra g with elements X i (i = 1, …, r), ∋ , and its associated group G obtained from by exponentiation ( 4.2), \(G \ni \exp \left (\sum _{i}\alpha _{i}X_{i}\right )\), where α are the parameters of group.

参考文章(83)
F. Iachello, Algebraic Theory of the Three-Body Problem Symmetries in Science VIII. pp. 213- 232 ,(1995) , 10.1007/978-1-4615-1915-7_16
Brian C Hall, Brian C Hall, Lie Groups, Lie Algebras, and Representations Springer, New York, NY. pp. 333- 366 ,(2003) , 10.1007/978-1-4614-7116-5_16
Boris Rosenfeld, Algebras and Lie Groups Springer, Boston, MA. pp. 29- 105 ,(1997) , 10.1007/978-1-4757-5325-7_2
Elie Cartan, Sur la structure des groupes de transformations finis et continus Sur la structure des groupes de transformations finis et continus. ,(1933)
Aleksandr Aleksandrovich Kirillov, F. A. Berezin, Introduction to Superanalysis ,(1987)
Jean Hladik, Spinors in Physics ,(1999)