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The modular characters of the symmetric groups

✍ Scribed by H.K Farahat; W Müller; M.H Peel


Publisher
Elsevier Science
Year
1976
Tongue
English
Weight
485 KB
Volume
40
Category
Article
ISSN
0021-8693

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📜 SIMILAR VOLUMES


Majorization of characters of the symmet
✍ Russell Merris 📂 Article 📅 1982 🏛 Elsevier Science 🌐 English ⚖ 334 KB

3uppose A and x are different irreduc\*ible characters of the symmetric group S,. If the jyartition of WI to which A corresponds majorizes the partition to which x corresponds, then .4 (7)/h(e) > x(7)/x(e)+ where T is a transpxition and e is the identity.

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