Pieri Rules for the Jack Polynomials in Superspace and the 6-Vertex Model

We present Pieri rules for the Jack polynomials in superspace. The coefficients in the Pieri rules are, except for an extra determinant, products of quotients of linear factors in α (expressed, as in the usual Jack polynomial case, in terms of certain hook lengths in a Ferrers’ diagram). We show tha...

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Veröffentlicht in:	Annales Henri Poincaré 2019-04, Vol.20 (4), p.1051-1091
Hauptverfasser:	Gatica, Jessica, Jones, Miles, Lapointe, Luc
Format:	Artikel
Sprache:	eng
Schlagworte:	Classical and Quantum Gravitation Dynamical Systems and Ergodic Theory Elementary Particles Mathematical and Computational Physics Mathematical Methods in Physics Partitions (mathematics) Physics Physics and Astronomy Polynomials Quantum Field Theory Quantum Physics Quotients Relativity Theory Theoretical
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