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Linear representation theory of symmetric group:S3

No change in size, 18:05, 15 June 2012
Trivial representation
! Element !! Matrix !! Characteristic polynomial !! Minimal polynomial !! Trace, character value
|-
| identity element || <math>( 1 )</math> || <math>x t- 1</math> || <math>x t - 1</math> || 1
|-
| <math>(1,2,3)</math> || <math>( 1 )</math> || <math>x t - 1</math> || <math>x t - 1</math> || 1
|-
| <math>(1,3,2)</math> || <math>( 1 )</math> || <math>x t - 1</math> || <math>x t - 1</math> || 1
|-
| <math>(1,2)</math> || <math>( 1 )</math> || <math>x t - 1</math> || <math>x t - 1</math> || 1
|-
| <math>(2,3)</math> || <math>( 1 )</math> || <math>x t - 1</math> || <math>x t - 1</math> || 1
|-
| <math>(1,3)</math> || <math>( 1 )</math> || <math>x t - 1</math> || <math>x t - 1</math> || 1
|}
 
===Sign representation===
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