Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Orbits in a real reductive Lie algebra
HTML articles powered by AMS MathViewer

by L. Preiss Rothschild PDF
Trans. Amer. Math. Soc. 168 (1972), 403-421 Request permission

Abstract:

The purpose of this paper is to give a classification of the orbits in a real reductive Lie algebra under the adjoint action of a corresponding connected Lie group. The classification is obtained by examining the intersection of the Lie algebra with the orbits in its complexification. An algebraic characterization of the minimal points in the closed orbits is also given.
References
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC: 17B20, 57E25
  • Retrieve articles in all journals with MSC: 17B20, 57E25
Additional Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 168 (1972), 403-421
  • MSC: Primary 17B20; Secondary 57E25
  • DOI: https://doi.org/10.1090/S0002-9947-1972-0349778-3
  • MathSciNet review: 0349778