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Linear representation theory of symmetric group:S3

84 bytes added, 01:34, 29 December 2011
Summary information
===Summary information===
<section begin="representations summary"/>
Below is summary information on irreducible representations that are absolutely irreducible, i.e., they remain irreducible in any bigger field, and in particular are irreducible in a [[splitting field]]. We assume that the characteristic of the field is not 2 or 3, except in the last two columns, where we consider what happens in characteristic 2 and characteristic 3.
| [[standard representation of symmetric group:S3|standard (two-dimensional irreducible)]] || 1 || 2 || 1 || any || trivial subgroup, i.e., it is faithful || [[symmetric group:S3]] || works || indecomposable but not irreducible
|}
<section end="representations summary"/>
===Trivial representation===
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