Listing 1 - 10 of 17 | << page >> |
Sort by
|
Choose an application
Choose an application
Quantum theory --- Representations of groups. --- Symplectic groups.
Choose an application
Multiplicity diagrams can be viewed as schemes for describing the phenomenon of 'symmetry breaking' in quantum physics. The subject of this book is the multiplicity diagrams associated with the classical groups U(n), O(n), etc. It presents such topics as asymptotic distributions of multiplicities, hierarchical patterns in multiplicity diagrams, lacanae, and the multiplicity diagrams of the rank 2 and rank 3 groups. The authors take a novel approach, using the techniques of symplectic geometry. The book develops in detail some themes which were touched on in the highly successful Symplectic Techniques in Physics by V. Guillemin and S. Sternberg, including the geometry of the moment map, the Duistermaat-Heckman theorem, the interplay between coadjoint orbits and representation theory, and quantization. Students and researchers in geometry and mathematical physics will find this book fascinating.
Group theory. --- Quantum theory. --- Representations of groups. --- Symplectic groups.
Choose an application
In 1993, M. Kontsevich proposed a conceptual framework for explaining the phenomenon of mirror symmetry. Mirror symmetry had been discovered by physicists in string theory as a duality between families of three-dimensional Calabi–Yau manifolds. Kontsevich's proposal uses Fukaya's construction of the A∞-category of Lagrangian submanifolds on the symplectic side and the derived category of coherent sheaves on the complex side. The theory of mirror symmetry was further enhanced by physicists in the language of D-branes and also by Strominger–Yau–Zaslow in the geometric set-up of (special) Lagrangian torus fibrations. It rapidly expanded its scope across from geometry, topology, algebra to physics. In this volume, leading experts in the field explore recent developments in relation to homological mirror symmetry, Floer theory, D-branes and Gromov–Witten invariants. Kontsevich-Soibelman describe their solution to the mirror conjecture on the abelian variety based on the deformation theory of A∞-categories, and Ohta describes recent work on the Lagrangian intersection Floer theory by Fukaya–Oh–Ohta–Ono which takes an important step towards a rigorous construction of the A∞-category. There follow a number of contributions on the homological mirror symmetry, D-branes and the Gromov–Witten invariants, e.g. Getzler shows how the Toda conjecture follows from recent work of Givental, Okounkov and Pandharipande. This volume provides a timely presentation of the important developments of recent years in this rapidly growing field.
Mirror symmetry --- Symplectic groups --- Groups, Symplectic --- Linear algebraic groups --- Symmetry (Physics)
Choose an application
Choose an application
Symplectic groups. --- Amalgams (Group theory) --- Groupes symplectiques --- Amalgames (Théorie des groupes)
Choose an application
Group theory --- 512 --- Isomorphisms (Mathematics) --- Symplectic groups --- Groups, Symplectic --- Linear algebraic groups --- Categories (Mathematics) --- Morphisms (Mathematics) --- Set theory --- Algebra --- 512 Algebra
Choose an application
Group theory --- p-adic fields. --- Groupes p-adiques. --- Symplectic groups. --- Groupes symplectiques. --- Representations of groups. --- Représentations de groupes. --- p-adic fields --- Representations of groups --- Symplectic groups --- Groups, Symplectic --- Linear algebraic groups --- Group representation (Mathematics) --- Groups, Representation theory of --- Algebraic fields --- p-adic numbers
Choose an application
Group theory --- Functional analysis --- Symplectic groups. --- Groupes symplectiques. --- p-adic fields. --- Groupes p-adiques. --- Representations of groups. --- Représentations de groupes. --- p-adic fields --- Representations of groups --- Symplectic groups --- Groups, Symplectic --- Linear algebraic groups --- Group representation (Mathematics) --- Groups, Representation theory of --- Algebraic fields --- p-adic numbers
Choose an application
Symplectic geometry. --- Symplectic groups. --- Domains of holomorphy. --- Géométrie symplectique. --- Groupes symplectiques. --- Domaines d'holomorphie. --- Géométrie symplectique --- Groupes symplectiques --- Domaines d'holomorphie --- Symplectic geometry --- Symplectic groups --- Domains of holomorphy --- Holomorphy domains --- Analytic continuation --- Functions of several complex variables --- Groups, Symplectic --- Linear algebraic groups --- Geometry, Differential
Listing 1 - 10 of 17 | << page >> |
Sort by
|