An orthosymplectic Pieri rule


الملخص بالإنكليزية

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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