Multiplicity formulas for certain semisimple Lie groups
HTML articles powered by AMS MathViewer
- by J. Lepowsky PDF
- Bull. Amer. Math. Soc. 77 (1971), 601-605
References
- Hermann Boerner, Darstellungen von Gruppen mit Berücksichtigung der Bedürfnisse der modernen Physik, Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete, Band LXXIV, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1955 (German). MR 0075211, DOI 10.1007/978-3-642-52808-8
- P. Cartier, On H. Weyl’s character formula, Bull. Amer. Math. Soc. 67 (1961), 228–230. MR 146306, DOI 10.1090/S0002-9904-1961-10583-1
- G. C. Hegerfeldt, Branching theorem for the symplectic groups, J. Mathematical Phys. 8 (1967), 1195–1196. MR 224740, DOI 10.1063/1.1705335
- Sigurđur Helgason, Differential geometry and symmetric spaces, Pure and Applied Mathematics, Vol. XII, Academic Press, New York-London, 1962. MR 0145455
- Sigurđur Helgason, A duality for symmetric spaces with applications to group representations, Advances in Math. 5 (1970), 1–154 (1970). MR 263988, DOI 10.1016/0001-8708(70)90037-X
- Bertram Kostant, On the existence and irreducibility of certain series of representations, Bull. Amer. Math. Soc. 75 (1969), 627–642. MR 245725, DOI 10.1090/S0002-9904-1969-12235-4
- K. R. Parthasarathy, R. Ranga Rao, and V. S. Varadarajan, Representations of complex semi-simple Lie groups and Lie algebras, Ann. of Math. (2) 85 (1967), 383–429. MR 225936, DOI 10.2307/1970351
Additional Information
- Journal: Bull. Amer. Math. Soc. 77 (1971), 601-605
- MSC (1970): Primary 17B10, 20G05; Secondary 05A99, 17B25
- DOI: https://doi.org/10.1090/S0002-9904-1971-12767-2
- MathSciNet review: 0301142