Lerman, Eugene
Overview
Works:  4 works in 24 publications in 1 language and 506 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
)
12 editions published between 1996 and 2009 in English and held by 251 WorldCat member libraries worldwide
"The subject of this book is the multiplicity diagrams associated with U(n), O(n), and the other classical groups. It presents such topics as asymptotic distributions of multiplicities, hierarchical patterns in multiplicity diagrams, lacunae, and the multiplicity diagrams of the rank2 and rank3 groups. The authors take a novel approach, using the techniques of symplectic geometry. They develop in detail some themes that were touched on in Symplectic Techniques in Physics (V. Guillemin and S. Sternberg, Cambridge University Press, 1984), including the geometry of the moment map, the DuistermaatHeckman theorem, the interplay between coadjoint orbits and representation theory, and quantization."
12 editions published between 1996 and 2009 in English and held by 251 WorldCat member libraries worldwide
"The subject of this book is the multiplicity diagrams associated with U(n), O(n), and the other classical groups. It presents such topics as asymptotic distributions of multiplicities, hierarchical patterns in multiplicity diagrams, lacunae, and the multiplicity diagrams of the rank2 and rank3 groups. The authors take a novel approach, using the techniques of symplectic geometry. They develop in detail some themes that were touched on in Symplectic Techniques in Physics (V. Guillemin and S. Sternberg, Cambridge University Press, 1984), including the geometry of the moment map, the DuistermaatHeckman theorem, the interplay between coadjoint orbits and representation theory, and quantization."
Symplectic geometry of integrable Hamiltonian systems by
Michle Audin(
Book
)
10 editions published in 2003 in English and held by 203 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)
10 editions published in 2003 in English and held by 203 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
Audience Level
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