An extension of Macdonald’s identity for sln

Quentin Gazda

doi:10.1007/s40993-019-0163-0

An extension of Macdonald’s identity for sl_n

Quentin Gazda

Institut Camille Jordan

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

Let n be an odd positive integer. In this short elementary note, we slightly extend Macdonald’s identity for sl_n into a two-variables identity in the spirit of Jacobi forms. The peculiarity of this work lies in its proof which uses Wronskians of vector-valued θ-functions. This complements the work of Milas towards modular Wronskians and denominator identities.

langue originale	Anglais
Numéro d'article	24
journal	Research in Number Theory
Volume	5
Numéro de publication	3
Les DOIs	https://doi.org/10.1007/s40993-019-0163-0
état	Publié - 1 sept. 2019
Modification externe	Oui

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10.1007/s40993-019-0163-0

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title = "An extension of Macdonald{\textquoteright}s identity for sln ",

abstract = "Let n be an odd positive integer. In this short elementary note, we slightly extend Macdonald{\textquoteright}s identity for sln into a two-variables identity in the spirit of Jacobi forms. The peculiarity of this work lies in its proof which uses Wronskians of vector-valued θ-functions. This complements the work of Milas towards modular Wronskians and denominator identities.",

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An extension of Macdonald’s identity for sln

Résumé

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An extension of Macdonald’s identity for sl_n