A classical q-hypergeometric approach to the A22 standard modules

Andrew V. Sills

doi:10.1007/978-3-319-68376-8_39

A classical q-hypergeometric approach to the A₂² standard modules

Andrew V. Sills

Mathematical Sciences

Georgia Southern University

Research output: Contribution to book or proceeding › Conference article › peer-review

4 Scopus citations

Abstract

This is a written expansion of the talk delivered by the author at the International Conference on Number Theory in Honor of Krishna Alladi for his 60th Birthday, held at the University of Florida, March 17–21, 2016. Here, we derive Bailey pairs that give rise to Rogers–Ramanujan type identities, the product sides of which are known to be the principally specialized characters of the A₂² standard modules (l - 2i + 2)Λ₀ + (i - 1)Λ₁ for any level l, and i =1,2.

Original language	English
Title of host publication	Analytic Number Theory, Modular Forms and q-Hypergeometric Series - In Honor of Krishna Alladi’s 60th Birthday, 2016
Editors	George E. Andrews, Frank Garvan
Publisher	Springer New York LLC
Pages	713-731
Number of pages	19
ISBN (Print)	9783319683751
DOIs	https://doi.org/10.1007/978-3-319-68376-8_39
State	Published - 2017
Event	International Gainesville Number Theory Conference in Honor of Krishna Alladi’s 60th Birthday, 2016 - Gainesville, United States Duration: Mar 17 2016 → Mar 21 2016

Publication series

Name	Springer Proceedings in Mathematics and Statistics
Volume	221
ISSN (Print)	2194-1009
ISSN (Electronic)	2194-1017

Conference

Conference	International Gainesville Number Theory Conference in Honor of Krishna Alladi’s 60th Birthday, 2016
Country/Territory	United States
City	Gainesville
Period	03/17/16 → 03/21/16

Keywords

Affine lie algebras
Bailey pairs
Basic hypergeometric series
Capparelli identities
Rogers–Ramanujan identities

Access to Document

10.1007/978-3-319-68376-8_39

Cite this

Sills, A. V. (2017). A classical q-hypergeometric approach to the A₂² standard modules. In G. E. Andrews, & F. Garvan (Eds.), Analytic Number Theory, Modular Forms and q-Hypergeometric Series - In Honor of Krishna Alladi’s 60th Birthday, 2016 (pp. 713-731). (Springer Proceedings in Mathematics and Statistics; Vol. 221). Springer New York LLC. https://doi.org/10.1007/978-3-319-68376-8_39

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abstract = "This is a written expansion of the talk delivered by the author at the International Conference on Number Theory in Honor of Krishna Alladi for his 60th Birthday, held at the University of Florida, March 17–21, 2016. Here, we derive Bailey pairs that give rise to Rogers–Ramanujan type identities, the product sides of which are known to be the principally specialized characters of the A22 standard modules (l - 2i + 2)Λ0 + (i - 1)Λ1 for any level l, and i =1,2.",

keywords = "Affine lie algebras, Bailey pairs, Basic hypergeometric series, Capparelli identities, Rogers–Ramanujan identities",

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Sills, AV 2017, A classical q-hypergeometric approach to the A₂² standard modules. in GE Andrews & F Garvan (eds), Analytic Number Theory, Modular Forms and q-Hypergeometric Series - In Honor of Krishna Alladi’s 60th Birthday, 2016. Springer Proceedings in Mathematics and Statistics, vol. 221, Springer New York LLC, pp. 713-731, International Gainesville Number Theory Conference in Honor of Krishna Alladi’s 60th Birthday, 2016, Gainesville, United States, 03/17/16. https://doi.org/10.1007/978-3-319-68376-8_39

A classical q-hypergeometric approach to the A₂² standard modules. / Sills, Andrew V.
Analytic Number Theory, Modular Forms and q-Hypergeometric Series - In Honor of Krishna Alladi’s 60th Birthday, 2016. ed. / George E. Andrews; Frank Garvan. Springer New York LLC, 2017. p. 713-731 (Springer Proceedings in Mathematics and Statistics; Vol. 221).

Research output: Contribution to book or proceeding › Conference article › peer-review

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