An orthosymplectic Pieri rule

Autor: Stokke, Anna
Rok vydání: 2018
Předmět:
Zdroj: Electron. J. Comb. Vol 25, Issue 3 (2018), Paper #P3.37
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv