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The Structure of the Young Symmetrizers for Spin Representations of the Symmetric Group, II

✍ Scribed by Andrew R Jones

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 156 KB
Volume: 213
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1998.7667

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✦ Synopsis

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 construction of the projective symmetrizer is presented for certain classes of partitions; this approach yields a ''compact'' expression for the intermediate factor x in the projective decomposition.

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