منابع مشابه
Root Systems and Dynkin Diagrams
In 1969, Murray Gell-Mann won the nobel prize in physics “for his contributions and discoveries concerning the classification of elementary particles and their interactions.” He is the scientist who first used the word quark, and he was the first to describe the SU3(C) flavor symmetry of the hadrons. By organizing the particles according to the root system of the lie algebra su3(C) associated t...
متن کاملDynkin Diagrams and Integrable Models Based on Lie Superalgebras
An analysis is given of the structure of a general two-dimensional Toda field theory involving bosons and fermions which is defined in terms of a set of simple roots for a Lie superalgebra. It is shown that a simple root system for a superalgebra has two natural bosonic root systems associated with it which can be found very simply using Dynkin diagrams; the construction is closely related to t...
متن کاملGeneralized Dynkin Diagrams and Root Systems and Their Folding Generalized Dynkin Diagrams and Root Systems and Their Folding
Graphs which generalize the simple or aane Dynkin diagrams are introduced. Each diagram deenes a bilinear form on a root system and thus a reeection group. We present some properties of these groups and of their natural \Coxeter element". The folding of these graphs and groups is also discussed, using the theory of C-algebras. Abstract Graphs which generalize the simple or aane Dynkin diagrams ...
متن کاملDynkin Diagrams of Cp
We investigate N = 2 supersymmetric sigma model orbifolds of the sphere in the large radius limit. These correspond to N = 2 superconformal field theories. Using the equations of topological-anti-topological fusion for the topological orbifold, we compute the generalized Dynkin diagrams of these theories i.e., the soliton spectrum which was used in the classification of massive superconformal t...
متن کاملGeneralized Dynkin diagrams and root systems and their folding
Graphs which generalize the simple or affine Dynkin diagrams are introduced. Each diagram defines a bilinear form on a root system and thus a reflection group. We present some properties of these groups and of their natural “Coxeter element”. The folding of these graphs and groups is also discussed, using the theory of C-algebras.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1980
ISSN: 0021-8693
DOI: 10.1016/0021-8693(80)90189-1