matrix representation
A matrix representation of a group is a group homomorphism between and , that is, a function
such that
-
•
,
-
•
Notice that this definition is equivalent to the group representation definition when the vector space is finite dimensional over . The parameter (or in the case of a group representation, the dimension of ) is called the degree of the representation.
References
- 1 Bruce E. Sagan. The Symmetric Group: Representations, Combinatorial Algorithms and Symmetric Functions. 2a Ed. 2000. Graduate Texts in Mathematics. Springer.
Title | matrix representation |
---|---|
Canonical name | MatrixRepresentation |
Date of creation | 2013-03-22 14:53:56 |
Last modified on | 2013-03-22 14:53:56 |
Owner | drini (3) |
Last modified by | drini (3) |
Numerical id | 9 |
Author | drini (3) |
Entry type | Definition |
Classification | msc 20C99 |
Related topic | PermutationRepresentation |