๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Young's Symmetrizers for Projective Representations of the Symmetric Group

โœ 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.

โœฆ 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.


๐Ÿ“œ SIMILAR VOLUMES


The Structure of the Young Symmetrizers
โœ Andrew R. Jones ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 355 KB

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

The Structure of the Young Symmetrizers
โœ Andrew R Jones ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 156 KB

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

Representations of the symmetric group g
โœ Sten Rettrup; Ruben Pauncz ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 507 KB

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