Séminaire Lotharingien de Combinatoire, B80d (2019), 26 pp.
Emmanuel Briand, Peter R. W. McNamara, Rosa Orellana and Mercedes Rosas
Commutation and Normal Ordering for Operators on Symmetric Functions
Abstract.
We study the commutation relations and normal ordering between
families of operators on symmetric functions. These operators can be
naturally defined by the operations of multiplication, Kronecker
product, and their adjoints. As applications, we give a new proof of
the skew Littlewood-Richardson rule and prove an identity about the
Kronecker product with a skew Schur function.
Received: June 4, 2018.
Revised: April 14, 2019.
Accepted: April 14, 2019.
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