Lepowsky's and Wakimoto's product formulas for the affine Lie algebras Cl(1)

M. Butorac; S. Kožić; A. Meurman; M. Primc

doi:10.1016/j.jalgebra.2024.06.040

Lepowsky's and Wakimoto's product formulas for the affine Lie algebras C_l⁽¹⁾

M. Butorac, S. Kožić, A. Meurman, M. Primc

Forskningsoutput: Tidskriftsbidrag › Artikel i vetenskaplig tidskrift › Peer review

Sammanfattning

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_l⁽¹⁾, D_l+1⁽²⁾ and A_2l⁽²⁾. Lepowsky–Wakimoto's infinite periodic products appear as one side of (conjectured) Rogers–Ramanujan-type combinatorial identities for affine Lie algebras of type C_l⁽¹⁾.

Originalspråk	engelska
Sidor (från-till)	147-189
Antal sidor	43
Tidskrift	Journal of Algebra
Volym	660
DOI	https://doi.org/10.1016/j.jalgebra.2024.06.040
Status	Published - 2024 dec.

Ämnesklassifikation (UKÄ)

Matematik

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10.1016/j.jalgebra.2024.06.040

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title = "Lepowsky's and Wakimoto's product formulas for the affine Lie algebras Cl(1)",

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).",

keywords = "Character formulas, Representations of affine Lie algebras, Rogers-Ramanujan-type identities",

author = "M. Butorac and S. Ko{\v z}i{\'c} and A. Meurman and M. Primc",

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AU - Butorac, M.

AU - Kožić, S.

AU - Meurman, A.

AU - Primc, M.

PY - 2024/12

Y1 - 2024/12

N2 - 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).

AB - 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).

KW - Character formulas

KW - Representations of affine Lie algebras

KW - Rogers-Ramanujan-type identities

U2 - 10.1016/j.jalgebra.2024.06.040

DO - 10.1016/j.jalgebra.2024.06.040

M3 - Article

AN - SCOPUS:85199940266

SN - 0021-8693

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EP - 189

JO - Journal of Algebra

JF - Journal of Algebra