Litvinov, G. L.; Spiz, G. B. Primary decompositions of finite-dimensional representations of Lie algebras and Lie groups. (English. Russian original) Zbl 0404.17005 Funct. Anal. Appl. 12, 149-151 (1978); translation from Funkts. Anal. Prilozh. 12, No. 2, 86-87 (1978). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page MSC: 17B10 Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) 22E60 Lie algebras of Lie groups 22E45 Representations of Lie and linear algebraic groups over real fields: analytic methods Keywords:Direct-Sum Decompositions; Finite-Dimensional Representations; Lie Algebras; Lie Groups; Complex Representation; Primary Decomposition PDF BibTeX XML Cite \textit{G. L. Litvinov} and \textit{G. B. Spiz}, Funct. Anal. Appl. 12, 149--151 (1978; Zbl 0404.17005); translation from Funkts. Anal. Prilozh. 12, No. 2, 86--87 (1978) Full Text: DOI References: [1] A. W. Chatters and C. R. Hajarnavis, Q. J. Math.,22, No. 2, 73-83 (1971). · Zbl 0211.36501 · doi:10.1093/qmath/22.1.73 [2] N. Bourbaki, Lie Groups and Lie Algebras, Addison-Wesley. · Zbl 1120.17001 [3] N. Jacobson, Lie Algebras, Wiley (1962). [4] G. L. Litvinov, Proceedings Seminar on Vector and Tensor Analysis,16, 267-349 (1972). · Zbl 0257.22017 [5] F. I. Mautner, Sem. Bourbaki, 11th year, f. 2, exp. 179 (1958/59). This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.