Lerman, Eugene
Overview
Works:  4 works in 24 publications in 1 language and 477 library holdings 

Roles:  Author 
Classifications:  QC174.17.G7, 530.120151255 
Publication Timeline
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Most widely held works by
Eugene Lerman
Symplectic fibrations and multiplicity diagrams
by
Victor Guillemin(
Book
)
13 editions published between 1996 and 2009 in English and held by 258 WorldCat member libraries worldwide
"Multiplicity diagrams can be viewed as schemes for describing the phenomenon of "symmetry breaking" in quantum physics: Suppose the state space of a quantum mechanical system is a Hilbert space V, on which the symmetry group G of the system acts irreducibly. How does this Hilbert space break up when G gets replaced by a smaller symmetry group H? In the case where H is a maximal torus of a compact group a convenient way to record the multiplicities is as integers drawn on the weight lattice of H."
13 editions published between 1996 and 2009 in English and held by 258 WorldCat member libraries worldwide
"Multiplicity diagrams can be viewed as schemes for describing the phenomenon of "symmetry breaking" in quantum physics: Suppose the state space of a quantum mechanical system is a Hilbert space V, on which the symmetry group G of the system acts irreducibly. How does this Hilbert space break up when G gets replaced by a smaller symmetry group H? In the case where H is a maximal torus of a compact group a convenient way to record the multiplicities is as integers drawn on the weight lattice of H."
Symplectic geometry of integrable Hamiltonian systems
by
Michèle Audin(
Book
)
9 editions published in 2003 in English and held by 217 WorldCat member libraries worldwide
Among all the Hamiltonian systems, the integrable ones have special geometric properties; in particular, their solutions are very regular and quasiperiodic. The quasiperiodicity of the solutions of an integrable system is a result of the fact that the system is invariant under a (semiglobal) torus action. It is thus natural to investigate the symplectic manifolds that can be endowed with a (global) torus action. This leads to symplectic toric manifolds (Part B of this book). Physics makes a surprising comeback in Part A: to describe Mirror Symmetry, one looks for a special kind of Lagrangian submanifolds and integrable systems, the special Lagrangians. Furthermore, integrable Hamiltonian systems on punctured cotangent bundles are a starting point for the study of contact toric manifolds (Part C of this book)
9 editions published in 2003 in English and held by 217 WorldCat member libraries worldwide
Among all the Hamiltonian systems, the integrable ones have special geometric properties; in particular, their solutions are very regular and quasiperiodic. The quasiperiodicity of the solutions of an integrable system is a result of the fact that the system is invariant under a (semiglobal) torus action. It is thus natural to investigate the symplectic manifolds that can be endowed with a (global) torus action. This leads to symplectic toric manifolds (Part B of this book). Physics makes a surprising comeback in Part A: to describe Mirror Symmetry, one looks for a special kind of Lagrangian submanifolds and integrable systems, the special Lagrangians. Furthermore, integrable Hamiltonian systems on punctured cotangent bundles are a starting point for the study of contact toric manifolds (Part C of this book)
Stratified symplectic spaces and reduction
by R Sjamaar(
Book
)
1 edition published in 1990 in English and held by 1 WorldCat member library worldwide
1 edition published in 1990 in English and held by 1 WorldCat member library worldwide
Symplectic fibrations and weight multiplicities of compact groups
by
Eugene Lerman(
)
1 edition published in 1989 in English and held by 1 WorldCat member library worldwide
1 edition published in 1989 in English and held by 1 WorldCat member library worldwide
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