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Gaussian fluctuations of characters of symmetric groups and of Young diagrams

✍ Scribed by Piotr Śniady


Publisher
Springer
Year
2005
Tongue
English
Weight
325 KB
Volume
136
Category
Article
ISSN
1432-2064

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Noncommutative Cyclic Characters of Symm
✍ Bernard Leclerc; Thomas Scharf; Jean-Yves Thibon 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 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