New partition identities from $C^{(1)}_\ell$-modules

Capparelli, Stefano; Meurman, Arne; Primc, Andrej; Primc, Mirko

doi:10.3336/gm.57.2.01

Glasnik matematički, Vol. 57 No. 2, 2022.

Original scientific paper

https://doi.org/10.3336/gm.57.2.01

New partition identities from $C_{ℓ}^{(1)}$ -modules

Stefano Capparelli orcid.org/0000-0002-7924-1688 ; Dipartimento SBAI, Università di Roma La Sapienza, Roma, Italy
Arne Meurman orcid.org/0000-0003-4845-9286 ; Department of Mathematics, University of Lund, Box 118, 22100 Lund, Sweden
Andrej Primc ; Kersnikova 11, 1 000 Ljubljana, Slovenia
Mirko Primc orcid.org/0000-0002-2615-9410 ; Faculty of Science, University of Zagreb, Zagreb, Croatia

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APA 6th Edition

Capparelli, S., Meurman, A., Primc, A. & Primc, M. (2022). New partition identities from $C_{ℓ}^{(1)}$ -modules. Glasnik matematički, 57 (2), 161-184. https://doi.org/10.3336/gm.57.2.01

MLA 8th Edition

Capparelli, Stefano, et al. "New partition identities from $C_{ℓ}^{(1)}$ -modules." Glasnik matematički, vol. 57, no. 2, 2022, pp. 161-184. https://doi.org/10.3336/gm.57.2.01. Accessed 24 Apr. 2025.

Chicago 17th Edition

Capparelli, Stefano, Arne Meurman, Andrej Primc and Mirko Primc. "New partition identities from $C_{ℓ}^{(1)}$ -modules." Glasnik matematički 57, no. 2 (2022): 161-184. https://doi.org/10.3336/gm.57.2.01

Harvard

Capparelli, S., et al. (2022). 'New partition identities from $C_{ℓ}^{(1)}$ -modules', Glasnik matematički, 57(2), pp. 161-184. https://doi.org/10.3336/gm.57.2.01

Vancouver

Capparelli S, Meurman A, Primc A, Primc M. New partition identities from $C_{ℓ}^{(1)}$ -modules. Glasnik matematički [Internet]. 2022 [cited 2025 April 24];57(2):161-184. https://doi.org/10.3336/gm.57.2.01

IEEE

S. Capparelli, A. Meurman, A. Primc and M. Primc, "New partition identities from $C_{ℓ}^{(1)}$ -modules", Glasnik matematički, vol.57, no. 2, pp. 161-184, 2022. [Online]. https://doi.org/10.3336/gm.57.2.01

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Abstract

In this paper we conjecture combinatorial Rogers-Ramanujan type colored partition identities related to standard representations of the affine Lie algebra of type $C_{ℓ}^{(1)}$ , $ℓ \geq 2$ , and we conjecture similar colored partition identities with no obvious connection to representation theory of affine Lie algebras.