Publication date: 30 December 2022
Volume: Vol 57
Issue: Svezak 2
Pages: 161-184
DOI: https://doi.org/10.3336/gm.57.2.01
Izvorni znanstveni članak
https://doi.org/10.3336/gm.57.2.01
New partition identities from \(C^{(1)}_\ell\)-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
In this paper we conjecture combinatorial Rogers-Ramanujan type colored partition identities related to standard representations of the affine Lie algebra of type \(C^{(1)}_\ell\), \(\ell\geq2\), and we conjecture similar colored partition identities with no obvious connection to representation theory of affine Lie algebras.
Rogers-Ramanujan type identities, affine Lie algebras
289602
30.12.2022.
Posjeta: 347 *