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Characters of symmetric groups: sharp bounds and applications

โœ Scribed by Michael Larsen; Aner Shalev


Publisher
Springer-Verlag
Year
2008
Tongue
English
Weight
424 KB
Volume
174
Category
Article
ISSN
0020-9910

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โœ Bernard Leclerc; Thomas Scharf; Jean-Yves Thibon ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 485 KB

We define noncommutative analogues of the characters of the symmetric group which are induced by transitive cyclic subgroups (cyclic characters). We investigate their properties by means of the formalism of noncommutative symmetric functions. The main result is a multiplication formula whose commuta