Existence and Orthogonality of Generalized Jack Polynomials and Its q-Deformation

2014/04/22 by Ohkubo, Yusuke
#FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1404.5401

Abstract

We investigate the existence and the orthogonality of the generalized Jack symmetric functions which play an important role in the AGT relations. We show their orthogonality by deforming them to the generalized Macdonald symmetric functions.

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• A new scalar product for nonsymmetric Jack polynomials
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