论文信息 - Subalgebras of real three‐ and four‐dimensional Lie algebras - 字舞流文

Subalgebras of real three‐ and four‐dimensional Lie algebras

The Lie subalgebras of all real Lie algebras of dimension d?4 are classified into equivalence classes under their groups of inner automorphisms. Tables of representatives of each conjugacy class are given.

Jiří Patera | Pavel Winternitz | J. Patera | P. Winternitz

[1] R. T. Sharp,et al. Subgroups of the Poincaré group and their invariants , 1976 .

[2] C. Conatser. Contractions of the Low‐Dimensional Real Lie Algebras , 1972 .

[3] Pavel Winternitz,et al. Subgroups of the Euclidean group and symmetry breaking in nonrelativistic quantum mechanics , 1977 .

[4] S. Lie. Theorie der Transformationsgruppen I , 1880 .

[5] J. Dixmier. Représentations induites holomorphes des groupes résolubles algébriques , 1966 .

[6] H. Zassenhaus,et al. Quantum numbers for particles in de Sitter space , 1976 .

[7] R. T. Sharp,et al. Invariants of real low dimension Lie algebras , 1976 .

[8] B. Kostant,et al. Quantization and representations of solvable Lie groups , 1967 .

[9] É. Goursat,et al. Sur les substitutions orthogonales et les divisions régulières de l'espace , 2022 .

[10] Hermann Grassmann,et al. Gesammelte mathematische und physikalische Werke , 1894 .

[11] G. Mackey. Induced representations of groups and quantum mechanics , 1968 .

[12] L. Alonso,et al. A general setting for Casimir invariants , 1975 .

[13] N. Vilenkin. Special Functions and the Theory of Group Representations , 1968 .