Changes

Jump to: navigation, search

Linear representation theory of symmetric group:S3

35 bytes added, 00:46, 16 December 2011
Summary
| Smallest ring of realization for all irreducible representations (characteristic zero) || <math>\mathbb{Z}</math>
|-
| Smallest [[Minimal splitting field]], i.e., smallest field of realization for all irreducible representations (characteristic zero) || <matH>\mathbb{Q}</math> (hence, it is a [[rational representation group]])
|-
| Condition for being a splitting field for this group || Any field of characteristic not two or three is a splitting field. In particular, <math>\mathbb{Q}</math> and <math>\R</math> are splitting fields.
Bureaucrats, emailconfirmed, Administrators
38,910
edits

Navigation menu