Geodesic
An orthosymplectic Pieri rule
Anna Stokke1
1University of Winnipeg
The electronic journal of combinatorics, Tome 25 (2018) no. 3
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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 Sundaram's Pieri rule for symplectic characters and that orthosymplectic characters and symplectic characters obey the same product rule.
DOI : 10.37236/7387
Classification : 05E05, 05E10
Mots-clés : Pieri rule, Schur function, orthosymplectic Lie algebra

Anna Stokke  1

1 University of Winnipeg 
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     author = {Anna Stokke},
     title = {An orthosymplectic {Pieri} rule},
     journal = {The electronic journal of combinatorics},
     year = {2018},
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     number = {3},
     doi = {10.37236/7387},
     zbl = {1395.05187},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/7387/}
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Anna Stokke. An orthosymplectic Pieri rule. The electronic journal of combinatorics, Tome 25 (2018) no. 3. doi: 10.37236/7387

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