Central elements and invariants in the modular Lie algebras
type: Item
instance of: scholarly article
title: Central elements and invariants in the modular Lie algebras
zbMATH Open document ID: 1027.17015
published in: Russian Mathematics
publication date: 2003-08-11T00:00:00Z
review text: The author seeks analogues in characteristic \(p\) of the result in characteristic zero that the ring \(S^L\) of invariants of the symmetric algebra \(S(L)\) of a Lie algebra \(L\) is isomorphic as an \(L\)-module to the center \(Z(U)\) of the universal enveloping algebra \(U(L)\). The results obtained are for algebras over \(F_p\), the field of \(p\) elements, and involve a certain extension of \(L\).
Mathematics Subject Classification ID: 17B50
Mathematics Subject Classification ID: 17B35
zbMATH DE Number: 1960476
zbMATH Keywords: ring of invariants
zbMATH Keywords: symmetric algebra
zbMATH Keywords: center
zbMATH Keywords: universal enveloping algebra
author: Nikolai A. Koreshkov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1960476