A proof of the second Rogers-Ramanujan identity via Kleshchev multipartitions

Shunsuke Tsuchioka

doi:10.3792/pjaa.99.005

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March 2023 A proof of the second Rogers-Ramanujan identity via Kleshchev multipartitions

Shunsuke Tsuchioka

Proc. Japan Acad. Ser. A Math. Sci. 99(3): 23-26 (March 2023). DOI: 10.3792/pjaa.99.005

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Abstract

We give another proof of the second Rogers-Ramanujan identity by Kashiwara crystals.

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Shunsuke Tsuchioka. "A proof of the second Rogers-Ramanujan identity via Kleshchev multipartitions." Proc. Japan Acad. Ser. A Math. Sci. 99 (3) 23 - 26, March 2023. https://doi.org/10.3792/pjaa.99.005

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Published: March 2023

First available in Project Euclid: 27 February 2023

Digital Object Identifier: 10.3792/pjaa.99.005

Subjects:

Primary: 11P84

Secondary: 17B37

Keywords: Hecke algebras , integer partitions , Kashiwara crystals , quantum groups , Rogers-Ramanujan identities

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Proc. Japan Acad. Ser. A Math. Sci.

Vol.99 • No. 3 • March 2023

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Shunsuke Tsuchioka "A proof of the second Rogers-Ramanujan identity via Kleshchev multipartitions," Proceedings of the Japan Academy, Series A, Mathematical Sciences, Proc. Japan Acad. Ser. A Math. Sci. 99(3), 23-26, (March 2023)

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