Permutation representations on invertible matrices
โ Scribed by Yona Cherniavsky; Eli Bagno
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 249 KB
- Volume
- 419
- Category
- Article
- ISSN
- 0024-3795
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๐ SIMILAR VOLUMES
This paper contains a general characterization for the permutation polynomials of the symmetric matrices over any ยฎeld. Speciยฎc characterizations are for symmetric matrices over algebraically closed ยฎelds, principal axis ยฎelds, and ยฎnite ยฎelds. In the latter case enumeration formulas are established
Transformation matrices for the representations of the spin permutation group may be easily derived using graphical methods of angular momentum theory. The transformation from the genealogical spin basis to the Jahn-Serber basis is considered as an illustrative example. The spin functions for an N-