Lepowsky's and Wakimoto's product formulas for the affine Lie algebras Cl(1)
(2024) In Journal of Algebra 660. p.147-189- Abstract
In this paper, we recall Lepowsky's and Wakimoto's product character formulas formulated in a new way by using arrays of specialized weighted crystals of negative roots for affine Lie algebras of type Cl(1), Dl+1(2) and A2l(2). Lepowsky–Wakimoto's infinite periodic products appear as one side of (conjectured) Rogers–Ramanujan-type combinatorial identities for affine Lie algebras of type Cl(1).
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https://lup.lub.lu.se/record/81544967-9454-4748-baef-a72fc893f5c1
- author
- Butorac, M. ; Kožić, S. ; Meurman, A. LU and Primc, M.
- organization
- publishing date
- 2024-12
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Character formulas, Representations of affine Lie algebras, Rogers-Ramanujan-type identities
- in
- Journal of Algebra
- volume
- 660
- pages
- 43 pages
- publisher
- Elsevier
- external identifiers
-
- scopus:85199940266
- ISSN
- 0021-8693
- DOI
- 10.1016/j.jalgebra.2024.06.040
- language
- English
- LU publication?
- yes
- id
- 81544967-9454-4748-baef-a72fc893f5c1
- date added to LUP
- 2024-08-26 13:40:42
- date last changed
- 2024-08-26 13:42:05
@article{81544967-9454-4748-baef-a72fc893f5c1, abstract = {{<p>In this paper, we recall Lepowsky's and Wakimoto's product character formulas formulated in a new way by using arrays of specialized weighted crystals of negative roots for affine Lie algebras of type C<sub>l</sub><sup>(1)</sup>, D<sub>l+1</sub><sup>(2)</sup> and A<sub>2l</sub><sup>(2)</sup>. Lepowsky–Wakimoto's infinite periodic products appear as one side of (conjectured) Rogers–Ramanujan-type combinatorial identities for affine Lie algebras of type C<sub>l</sub><sup>(1)</sup>.</p>}}, author = {{Butorac, M. and Kožić, S. and Meurman, A. and Primc, M.}}, issn = {{0021-8693}}, keywords = {{Character formulas; Representations of affine Lie algebras; Rogers-Ramanujan-type identities}}, language = {{eng}}, pages = {{147--189}}, publisher = {{Elsevier}}, series = {{Journal of Algebra}}, title = {{Lepowsky's and Wakimoto's product formulas for the affine Lie algebras C<sub>l</sub><sup>(1)</sup>}}, url = {{http://dx.doi.org/10.1016/j.jalgebra.2024.06.040}}, doi = {{10.1016/j.jalgebra.2024.06.040}}, volume = {{660}}, year = {{2024}}, }