Classification and identification of Lie algebras
By: Libor Snobl, Pavel Winternitz
Contributors: Winternitz, Pavel, author
Series: CRM monograph series -- volume 33
Publisher: American Mathematical Society
Published: 2014
Place of publication: Providence, Rhode Island
Language: eng
Number of pages: 306
ISBN-13: 9780821843550
Subjects: Lie algebras; Lie superalgebras; Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Lie algebras and Lie superalgebras; Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Structure theory; Quantum theory -- Groups and algebras in quantum theory -- Groups and algebras in quantum theory; Quantum theory -- Groups and algebras in quantum theory -- Finite-dimensional groups and algebras motivated by physics and their representations; Mechanics of particles and systems -- Hamiltonian and Lagrangian mechanics -- Hamiltonian and Lagrangian mechanics; Dynamical systems and ergodic theory -- Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems -- Symmetries, invariants, invariant manifolds, momentum maps, reduction; Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Simple, semisimple, reductive (super)algebras; Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Solvable, nilpotent (super)algebras; Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Automorphisms, derivations, other operators; Mechanics of particles and systems -- Classical field theories -- Classical field theories; Dynamical systems and ergodic theory -- Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems -- Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems
Notes: Includes bibliographical references (pages 299-304) and index.