Linear Operators with Symmetries

Albert Fässler and Eduard Stiefel
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Albert Fässler: Ecole d’Ingénieurs Bienne, Ingenieurschule Biel
Eduard Stiefel: Eidgenössische Technische Hochschule ETH, Department of Mathematics

Chapter Chapter 2 in Group Theoretical Methods and Their Applications, 1992, pp 33-49 from Springer

Abstract: Abstract We now proceed to considerations that are of great importance for the applications. If a problem has a certain symmetry, that is, if it is invariant under a certain set of symmetry operations1, then it cam be considerably simplified and is often solvable only by exploiting this symmetry. The study of these symmetries may lead to new theoretic findings. As an example we may mention quantum mechanics.

Keywords: Linear Operator; Irreducible Representation; Invariant Subspace; Fundamental Theorem; Reducible Representation (search for similar items in EconPapers)
Date: 1992
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DOI: 10.1007/978-1-4612-0395-7_2

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