Invariant operators of five-dimensional nonconjugate subalgebras of the Lie algebra of the Poincaré group \(\mathrm{P}(1,4)\)
type: Item
instance of: scholarly article
title: Invariant operators of five-dimensional nonconjugate subalgebras of the Lie algebra of the Poincaré group \(\mathrm{P}(1,4)\)
zbMATH Open document ID: 1293.17020
DOI: 10.1155/2013/560178
author: V. M. Fedorchuk
author: V. I. Fedorchuk
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: We have classified all five-dimensional nonconjugate subalgebras of the Lie algebra of the Poincaré group \(\mathrm{P}(1,4)\) into classes of isomorphic subalgebras. Using this classification, we have constructed invariant operators (generalized Casimir operators) for all five-dimensional nonconjugate subalgebras of the Lie algebra of the Poincaré group \(\mathrm{P}(1,4)\) and presented them in the explicit form.
Mathematics Subject Classification ID: 17B45
zbMATH DE Number: 6307001
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/560178
OpenAlex ID: W2060791502
Wikidata QID: Q58917117
cites work: On the number of Casimir operators associated with any lie group
cites work: On the construction of the invariant operators for any finite-parameter lie group
cites work: A general setting for Casimir invariants
cites work: Invariants of real low dimension Lie algebras
cites work: Subgroups of the Poincaré group and their invariants
cites work: The fundamental invariants of inhomogeneous classical groups
cites work: Wigner analysis and Casimir operators of SA(4,R)
cites work: Q4260337
cites work: Invariants of the nilpotent and solvable triangular Lie algebras
cites work: Invariants of a semi-direct sum of Lie algebras
cites work: Relations among invariants of complex filiform Lie algebras.
cites work: Subgroup Type Coordinates and the Separationof Variables in Hamilton-Jacobi and Schrödinger Equations
cites work: On the Casimir of the group ISL(n,R) and its algebraic decomposition
cites work: A class of solvable Lie algebras and their Casimir invariants
cites work: Solvable Lie algebras with naturally graded nilradicals and their invariants
cites work: Computation of invariants of Lie algebras by means of moving frames
cites work: Invariants of Lie algebras with fixed structure of nilradicals
cites work: Invariants of triangular Lie algebras
cites work: Invariants of triangular Lie algebras with one nil-independent diagonal element
cites work: Invariants of solvable Lie algebras with triangular nilradicals and diagonal nilindependent elements
cites work: Invariants of Lie algebras via moving frames
cites work: Q3086229
cites work: Virtual copies of semisimple Lie algebras in enveloping algebras of semidirect products and Casimir operators
cites work: Representations of the complete inhomogeneous de Sitter group and equations in the five-dimensional approach. I
cites work: Q4040647
cites work: Splitting subalgebras of the Lie algebra of the generalized Poincaré group P(1,4)
cites work: Nonsplit subalgebras of the Lie algebra of the generalized Poincaré group P(1,4)
cites work: Continuous subgroups of the Poincare group P(1, 4)
cites work: Reduction of the representations of the generalised Poincare algebra by the Galilei algebra
cites work: Q3972560
cites work: Q4283769
cites work: Casimir invariants for the eight-dimensional subgroups of the Poincaré group P (1,4)
cites work: Q3541282
cites work: Q3096459
cites work: Q5550465
cites work: Q5550466
cites work: Q3945260
cites work: Continuous subgroups of the fundamental groups of physics. I. General method and the Poincaré group
cites work: Q4023294
description: scientific article; zbMATH DE number 6307001