Twisted sl(3,C)˜-modules and combinatorial identities

DOI10.3336/gm.52.1.05zbMath1417.17026arXivmath/0204042OpenAlexW2636905955MaRDI QIDQ4601222

Ivica Siladić

Publication date: 12 January 2018

Published in: Glasnik Matematicki (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0204042

zbMATH Keywords

vertex operator algebrasRogers-Ramanujan identitiesstandard modulescolored partitionstwisted affine Lie algebras

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (15)

Weighted words at degree two. II: Flat partitions, regular partitions, and application to level one perfect crystals ⋮ Multi-grounded partitions and character formulas ⋮ Generalisations of Capparelli's and Primc's identities. I: Coloured Frobenius partitions and combinatorial proofs ⋮ On a Rogers-Ramanujan type identity from crystal base theory ⋮ Leading terms of relations for standard modules of the affine Lie algebras \(C_n^{(1)}\) ⋮ Andrews-Gordon type series for Capparelli's and Göllnitz-Gordon identities ⋮ Siladić’s theorem: Weighted words, refinement and companion ⋮ Weighted words at degree two. I: Bressoud's algorithm as an energy transfer ⋮ Some Combinatorial Coincidences for Standard Representations of Affine Lie Algebras ⋮ Multi-grounded partitions and character formulas ⋮ A bijective proof and generalization of Siladić's theorem ⋮ On partition identities of Capparelli and Primc ⋮ On partition identities of Capparelli and Primc ⋮ A bijective proof and generalization of Siladić's theorem ⋮ Generalizations of Capparelli's identity

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