NEW PARTITION IDENTITIES FROM C(1) ℓ-MODULES

Stefano Capparelli; Arne Meurman; Andrej Primc; Mirko Primc

doi:10.3336/gm.57.2.01

NEW PARTITION IDENTITIES FROM C⁽¹⁾ _ℓ-MODULES

Stefano Capparelli, Arne Meurman, Andrej Primc, Mirko Primc

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	161-184
Number of pages	24
Journal	Glasnik Matematicki
Volume	57
Issue number	2
DOIs	https://doi.org/10.3336/gm.57.2.01
Publication status	Published - 2022

Subject classification (UKÄ)

Algebra and Logic

Free keywords

affine Lie algebras
Rogers-Ramanujan type identities

Access to Document

10.3336/gm.57.2.01

Cite this

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title = "NEW PARTITION IDENTITIES FROM C(1) ℓ-MODULES",

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.",

keywords = "affine Lie algebras, Rogers-Ramanujan type identities",

author = "Stefano Capparelli and Arne Meurman and Andrej Primc and Mirko Primc",

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AU - Capparelli, Stefano

AU - Meurman, Arne

AU - Primc, Andrej

AU - Primc, Mirko

PY - 2022

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AB - 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.

KW - affine Lie algebras

KW - Rogers-Ramanujan type identities

U2 - 10.3336/gm.57.2.01

DO - 10.3336/gm.57.2.01

M3 - Article

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SN - 0017-095X

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JO - Glasnik Matematicki

JF - Glasnik Matematicki

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