Skip to Main Content

Proceedings of the American Mathematical Society

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

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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.

 

Rationally varying polarizing subalgebras in nilpotent Lie algebras
HTML articles powered by AMS MathViewer

by Lawrence Corwin and Frederick P. Greenleaf PDF
Proc. Amer. Math. Soc. 81 (1981), 27-32 Request permission

Abstract:

Let $\mathfrak {N}$ be a nilpotent Lie algebra, with (vector space) dual ${\mathfrak {N}^{*}}$. We construct a map $l \mapsto {\mathfrak {M}_l}$ from a Zariski-open subset of ${\mathfrak {N}^{*}}$ to the set of subalgebras of $\mathfrak {N}$ such that ${\mathfrak {M}_l}$ varies rationally with $l$, ${\mathfrak {M}_l}$ is polarizing for $l$, $({\text {Ad}}x){\mathfrak {M}_l} = {\mathfrak {M}_{l’}}(l’ = {\text {A}}{{\text {d}}^ {*} }x \cdot l)$ for all $x \in N$, and $un{k_\infty }(l) \subseteq {\mathfrak {M}_l} \subseteq un{k_\infty }(l)$, where $un{k_\infty }(l)$ and $un{k_\infty }(l)$ are the canonical subalgebras introduced by R. Penney.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 17B30
  • Retrieve articles in all journals with MSC: 17B30
Additional Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 81 (1981), 27-32
  • MSC: Primary 17B30
  • DOI: https://doi.org/10.1090/S0002-9939-1981-0589131-1
  • MathSciNet review: 589131