Geodesic
Irreducible Representations of SU(n) with Prime Power Degree
Séminaire lotharingien de combinatoire, Tome 71 (2014-2015)
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The correspondence between irreducible representations of the symmetric group Sn and partitions of n is well-known. Less well-known is the connection between irreducible representations of the special unitary group SU(n) and partitions with less than n parts. This paper uses this correspondence to classify the irreducible representations of SU(n) with prime power degree. 

@article{SLC_2014-2015_71_a3,
     author = {Sarah Peluse},
     title = {Irreducible {Representations} of {SU(n)} with {Prime} {Power} {Degree}},
     journal = {S\'eminaire lotharingien de combinatoire},
     year = {2014-2015},
     volume = {71},
     url = {http://geodesic.mathdoc.fr/item/SLC_2014-2015_71_a3/}
}
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Sarah Peluse. Irreducible Representations of SU(n) with Prime Power Degree. Séminaire lotharingien de combinatoire, Tome 71 (2014-2015). http://geodesic.mathdoc.fr/item/SLC_2014-2015_71_a3/