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An orthosymplectic Pieri rule

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 نشر من قبل Anna Stokke
 تاريخ النشر 2018
  مجال البحث
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 تأليف Anna Stokke




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The classical Pieri formula gives a combinatorial rule for decomposing the product of a Schur function and a complete homogeneous symmetric polynomial as a linear combination of Schur functions with integer coefficients. We give a Pieri rule for describing the product of an orthosymplectic character and an orthosymplectic character arising from a one-row partition. We establish that the orthosymplectic Pieri rule coincides with Sundarams Pieri rule for symplectic characters and that orthosymplectic characters and symplectic characters obey the same product rule.



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