In physics, they describe how the symmetry group of a physical system affects the solutions of equations describing that system. Branches of group... · Definitions · Examples · Reducibility |
| Представление группы |  |
Представле́ние гру́ппы — вообще говоря, любое действие группы.
Однако чаще всего под представлением группы понимается линейное представление группы, то есть действие группы на векторном пространстве. Википедия
Representation theory is the study of the various ways a given group can be mapped into a general linear group. This information has proven to be effective at ... |
29 июн. 2012 г. · Definition 1 (Group Representation). Let G be a group. A (complex) G- representation is an homomorphism ρ : G→GL(V ) where V is a vector space. |
The representation theory of groups is a part of mathematics which examines how groups act on given structures. Here the focus is in particular on operations ... |
A representation of a group G is a group action of G on a vector space V by invertible linear maps. For example, the group of two elements Z_2={0,1} ... |
This course will cover the representation theory of finite groups over C. We assume the reader knows the basic properties of groups and vector spaces. Contents. |
13 янв. 2014 г. · A representation of a group is a presentation where the target group is the group of automorphisms of a vector space. Every element of the group ... |
We call a representation that arises from the action of a group on a set in this way a permutational representation. |
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