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A new construction of Young's seminormal representation of the symmetric groups

✍ Scribed by G.E Murphy

Book ID
107774505
Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
526 KB
Volume
69
Category
Article
ISSN
0021-8693

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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 Alg

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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 Ξ» q Ξ» -form exhi

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✍ Andrew R Jones πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 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