Lie algebra representations, nilpotent matrices, and the \(C\)-numerical range

DOI10.1016/j.laa.2005.05.019zbMath1089.15027OpenAlexW2091405020WikidataQ115344939 ScholiaQ115344939MaRDI QIDQ819153

Gunther Dirr, Uwe R. Helmke, Martin Kleinsteuber

Publication date: 22 March 2006

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2005.05.019

zbMATH Keywords

tensor productsLie algebrarepresentationsKronecker productnilpotent matricesquantum computing\(C\)-numerical rangeClebsch-Gordan decompositionJordan canonical formsNMR-spectroscopy

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum computation (81P68) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Canonical forms, reductions, classification (15A21)

Related Items

Lie Theory for Quantum Control, The significance of theC-numerical range and the localC-numerical range in quantum control and quantum information

Cites Work

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