Generalized symmetrization in enveloping algebras
type: Item
instance of: scholarly article
title: Generalized symmetrization in enveloping algebras
zbMATH Open document ID: 0964.17007
DOI: 10.1007/BF01235941
published in: Transformation Groups
publication date: 1999-03-27T00:00:00Z
Mathematics Subject Classification ID: 17B35
zbMATH DE Number: 1112698
zbMATH Keywords: symmetrizations defined by power series
zbMATH Keywords: generalized symmetrization
zbMATH Keywords: symmetric algebra
zbMATH Keywords: universal enveloping algebra
zbMATH Keywords: center
zbMATH Keywords: linear isomorphisms
zbMATH Keywords: adjoint representation
zbMATH Keywords: basis
author: G. I. Olshanskii
MaRDI profile type: Publication
cites work: Q4146776
cites work: Partitions into Even and Odd Block Size and Some Unusual Characters of the Symmetric Groups
cites work: Q4065692
cites work: The Capelli identity, the double commutant theorem, and multiplicity-free actions
cites work: Q4309335
cites work: Yangians and Laplace operators for classical Lie algebras
cites work: Noncommutative symmetric functions and Laplace operators for classical Lie algebras
cites work: Sklyanin determinant, Laplace operators, and characteristic identities for classical Lie algebras
cites work: Capelli identities for classical Lie algebras
cites work: Quantum Berezinian and the classical Capelli identity
cites work: Quantum immanants and higher Capelli identities
cites work: Q3129240
cites work: On the Poincaré-Birkhoff-Witt theorem
full work available at URL: https://doi.org/10.1007/bf01235941
OpenAlex ID: W2026698923
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description: scientific article; zbMATH DE number 1112698