This paper is the first in a series of three papers on the Young symmetrizers for the spin representations of the symmetric group. In this opening paper, it is shown that the projective analogue of the Young symmetrizer recently introduced by Nazarov has a structure resembling the p ฮป q ฮป -form exhi
Young's Symmetrizers for Projective Representations of the Symmetric Group
โ Scribed by Maxim Nazarov
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 686 KB
- Volume
- 127
- Category
- Article
- ISSN
- 0001-8708
No coin nor oath required. For personal study only.
โฆ Synopsis
Contents 0. Introduction. 1. Irreducible Representations of the Group D n . 2. Shifted Tableaux and the Weak Order on the Group S n . 3. Degenerate Affine Sergeev Algebra. 4. The Elements ? / (8 w4 )(1). 5. Fusion Procedure. 6. Two Properties of the Element 4 c( r). 7. Representation V * of the Algebra Se n . 8. Young's Orthogonal Form.
๐ SIMILAR VOLUMES
The first paper in this series established that the projective analogue of the Young symmetrizer recently introduced by Nazarov has a natural PxQ-structure comparable with the pq-form of the classical symmetrizer. This second paper develops the theory on this decomposition further. A more efficient
The representation matrices generated by the projected spin functions have some very interesting properties. All the matrix elements are integers and they are quite sparse. A very efficient algorithm is presented for the calculation of these representation matrices based on a graphical approach and