Lie algebras and applications
Author(s)
Bibliographic Information
Lie algebras and applications
(Lecture notes in physics, 708)
Springer, c2006
Available at 23 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNP||70806061154
Note
Includes bibliographical references (p. [189]-192) and index
Description and Table of Contents
Description
This book, designed for advanced graduate students and post-graduate researchers, introduces Lie algebras and some of their applications to the spectroscopy of molecules, atoms, nuclei and hadrons. The book contains many examples that help to elucidate the abstract algebraic definitions. It provides a summary of many formulas of practical interest, such as the eigenvalues of Casimir operators and the dimensions of the representations of all classical Lie algebras.
Table of Contents
Basic Concepts.- Semisimple Lie Algebras.- Lie Groups.- Irreducible Bases (Representations).- Casimir Operators and Their Eigenvalues.- Tensor Operators.- Boson Realizations.- Fermion Realizations.- Differential Realizations.- Matrix Realizations.- Spectrum Generating Algebras and Dynamic Symmetries.- Degeneracy Algebras and Dynamical Algebras.
by "Nielsen BookData"