Majorization of characters of the symmetric group
β Scribed by Russell Merris
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 334 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0012-365X
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β¦ Synopsis
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.
π SIMILAR VOLUMES
Characters of irreducible representations irreps of the symmetric group corresponding to the two-row Young diagrams, i.e., describing transformation properties of N-electron eigenfunctions of the total spin operators, have been expressed as explicit functions of the number of electrons N and of the
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