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Commutation and normal ordering for operators on symmetric functions

 

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Opened Access Commutation and normal ordering for operators on symmetric functions
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Author: Briand, Emmanuel
McNamara, Peter R. W.
Orellana, Rosa C.
Rosas Celis, Mercedes Helena
Department: Universidad de Sevilla. Departamento de álgebra
Date: 2015
Document type: Article
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.
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URI: http://hdl.handle.net/11441/43066

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