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.

Izvorni znanstveni članak

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

Puni tekst: engleski pdf 200 Kb

str. 161-184

preuzimanja: 371

citiraj

APA 6th Edition

Capparelli, S., Meurman, A., Primc, A. i 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, br. 2, 2022, str. 161-184. https://doi.org/10.3336/gm.57.2.01. Citirano 21.04.2025.

Chicago 17th Edition

Capparelli, Stefano, Arne Meurman, Andrej Primc i Mirko Primc. "New partition identities from $C_{ℓ}^{(1)}$ -modules." Glasnik matematički 57, br. 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), str. 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 [pristupljeno 21.04.2025.];57(2):161-184. https://doi.org/10.3336/gm.57.2.01

IEEE

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

Preuzmi JATS datoteku

Sažetak

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.