Algebras of bounded functions invariant under the restricted backward shift

✍ Scribed by Stephen D. Fisher

Publisher: Elsevier Science
Year: 1973
Tongue: English
Weight: 452 KB
Volume: 12
Category: Article
ISSN: 0022-1236
DOI: 10.1016/0022-1236(73)90077-3

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Invariants of Domains under the Actions

Invariants of Domains under the Actions of Restricted Lie Algebras

✍ J. Bergen 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 790 KB

The goal of this paper is to examine the relationship between a domain \(R\) and its subring of invariants \(R^{L}\), under the action of a finite-dimensional restricted Lie algebra \(L\). We first show that there exists a nondegenerate \(\left(R^{L}, R^{L}\right)\)-bimodule "trace-like" map \(g: R