A Jacobson-Morozov lemma for sp(2n, R)

Research output: Contribution to journalArticle

Abstract

A variation of the lemma of Jacobson-Morozov on the imbedding of a nonzero nilpotent element of the real symplectic algebra into the split simple three-dimensional Lie algebra is proved. The proof is algorithmic and relies on our earlier work on the theory of normal forms for the real symplectic algebra.

Original languageEnglish (US)
Pages (from-to)375-376
Number of pages2
JournalJournal of Mathematical Physics
Volume26
Issue number3
StatePublished - 1985
Externally publishedYes

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Algebra
Lemma
algebra
theorems
Nilpotent Element
Imbedding
imbeddings
Normal Form
Lie Algebra
Three-dimensional

ASJC Scopus subject areas

  • Organic Chemistry

Cite this

A Jacobson-Morozov lemma for sp(2n, R). / Kocak, Huseyin.

In: Journal of Mathematical Physics, Vol. 26, No. 3, 1985, p. 375-376.

Research output: Contribution to journalArticle

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