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NEW PARTITION IDENTITIES FROM C(1) ℓ-MODULES

Capparelli, Stefano ; Meurman, Arne LU ; Primc, Andrej and Primc, Mirko (2022) In Glasnik Matematicki 57(2). p.161-184
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(1) ℓ, ℓ ≥ 2, and we conjecture similar colored partition identities with no obvious connection to representation theory of affine Lie algebras.

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author
; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
affine Lie algebras, Rogers-Ramanujan type identities
in
Glasnik Matematicki
volume
57
issue
2
pages
24 pages
publisher
University of Zagreb, Faculty of Mining, Geology and Petroleum Engineering
external identifiers
  • scopus:85145388675
ISSN
0017-095X
DOI
10.3336/gm.57.2.01
language
English
LU publication?
yes
additional info
Publisher Copyright: © 2022, University of Zagreb, Faculty of Mining, Geology and Petroleum Engineering. All rights reserved.
id
65651080-70aa-46d2-8c3e-a5c94a0e36aa
date added to LUP
2023-01-18 11:18:13
date last changed
2023-01-18 17:00:39
@article{65651080-70aa-46d2-8c3e-a5c94a0e36aa,
  abstract     = {{<p>In this paper we conjecture combinatorial Rogers-Ramanujan type colored partition identities related to standard representations of the affine Lie algebra of type C<sup>(1)</sup> ℓ, ℓ ≥ 2, and we conjecture similar colored partition identities with no obvious connection to representation theory of affine Lie algebras.</p>}},
  author       = {{Capparelli, Stefano and Meurman, Arne and Primc, Andrej and Primc, Mirko}},
  issn         = {{0017-095X}},
  keywords     = {{affine Lie algebras; Rogers-Ramanujan type identities}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{161--184}},
  publisher    = {{University of Zagreb, Faculty of Mining, Geology and Petroleum Engineering}},
  series       = {{Glasnik Matematicki}},
  title        = {{NEW PARTITION IDENTITIES FROM C<sup>(1)</sup> <sub>ℓ</sub>-MODULES}},
  url          = {{http://dx.doi.org/10.3336/gm.57.2.01}},
  doi          = {{10.3336/gm.57.2.01}},
  volume       = {{57}},
  year         = {{2022}},
}