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- catalog abstract "Lie algebras are efficient tools for analyzing the properties of physical systems. Concrete applications comprise the formulation of symmetries of Hamiltonian systems, the description of atomic, molecular and nuclear spectra, the physics of elementary particles and many others. This work gives an introduction to the properties and the structure of the Lie algebras su(n). First, characteristic quantities such as structure constants, the Killing form and functions of Lie algebras are introduced. The properties of the algebras su(2), su(3) and su(4) are investigated in detail. Geometric models of the representations are developed. A lot of care is taken over the use of the term "multiplet of an algebra". The book features an elementary (matrix) access to su(N)-algebras, and gives a first insight into Lie algebras. Student readers should be enabled to begin studies on physical su(N)-applications, instructors will profit from the detailed calculations and examples.".
- catalog contributor b13074364.
- catalog created "c2003.".
- catalog date "2003".
- catalog date "c2003.".
- catalog dateCopyrighted "c2003.".
- catalog description "Includes bibliographical references (p. [112]) and index.".
- catalog description "Lie algebras are efficient tools for analyzing the properties of physical systems. Concrete applications comprise the formulation of symmetries of Hamiltonian systems, the description of atomic, molecular and nuclear spectra, the physics of elementary particles and many others. This work gives an introduction to the properties and the structure of the Lie algebras su(n). First, characteristic quantities such as structure constants, the Killing form and functions of Lie algebras are introduced. The properties of the algebras su(2), su(3) and su(4) are investigated in detail. Geometric models of the representations are developed. A lot of care is taken over the use of the term "multiplet of an algebra". The book features an elementary (matrix) access to su(N)-algebras, and gives a first insight into Lie algebras. Student readers should be enabled to begin studies on physical su(N)-applications, instructors will profit from the detailed calculations and examples.".
- catalog description "Preface -- 1. Lie algebras -- 2. The Lie algebras su(N) -- 3. The Lie algebra su(2) -- 4. The Lie algebra su(3) -- 5. The Lie algebra su(4) -- 6. General properties of the su(N)-algebras -- References -- Index.".
- catalog extent "vi, 116 p. :".
- catalog identifier "081762418X (acid-free paper)".
- catalog identifier "376432418X (acid-free paper)".
- catalog issued "2003".
- catalog issued "c2003.".
- catalog language "eng".
- catalog publisher "Basel ; Boston : Birkhäuser,".
- catalog subject "512/.482 22".
- catalog subject "Algebra.".
- catalog subject "Geometry.".
- catalog subject "Lie algebras.".
- catalog subject "Mathematical physics.".
- catalog subject "Mathematics.".
- catalog subject "Nonassociative rings.".
- catalog subject "QC20.7.L54 P54 2003".
- catalog tableOfContents "Preface -- 1. Lie algebras -- 2. The Lie algebras su(N) -- 3. The Lie algebra su(2) -- 4. The Lie algebra su(3) -- 5. The Lie algebra su(4) -- 6. General properties of the su(N)-algebras -- References -- Index.".
- catalog title "The Lie algebras su(N) : an introduction / Walter Pfeifer.".
- catalog type "text".