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Factor representations of the infinite spin-symmetric group

✍ Scribed by M. L. Nazarov


Publisher
Springer US
Year
1992
Tongue
English
Weight
491 KB
Volume
62
Category
Article
ISSN
1573-8795

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The Structure of the Young Symmetrizers
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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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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