ON MULTI-COLOR PARTITIONS AND THE GENERALIZED ROGERS–RAMANUJAN IDENTITIES

DOI10.1142/S0219199701000482zbMath1075.11062arXivmath/9907183OpenAlexW1988545356MaRDI QIDQ4539763

Kailash C. Misra, Carla D. Savage, Naihuan Jing

Publication date: 10 July 2002

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9907183

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Elementary theory of partitions (11P81)

Related Items (2)

Quasi-particles in the principal picture of 𝔰𝔩̂2 and Rogers–Ramanujan-type identities ⋮ Leading terms of relations for standard modules of the affine Lie algebras \(C_n^{(1)}\)

Cites Work

• A generalization of the Rogers-Ramanujan identities for all moduli
• Structure of certain standard modules for \(A_ n^{(1)}\) and the Rogers-Ramanujan identities
• Structure of some standard modules for \(C_ n^{(1)}\)
• The structure of standard modules. I: Universal algebras and the Rogers- Ramanujan identities
• The structure of standard modules. II: The case \(A_ 1^{(1)}\), principal gradation
• Rogers-Ramanujan identities for partitions with n copies of n
• Annihilating ideals of standard modules of \({\mathfrak sl}(2,{\mathbb{C}})^\sim\) and combinatorial identities
• Partitions with prescribed hook differences
• Lattice paths and multiple basic hypergeometric series
• Extension of the partition sieve
• A correspondence between partitions related to generalizations of the Rogers-Ramanujan identities
• A Lie theoretic interpretation and proof of the Rogers-Ramanujan identities
• A three-way correspondence between partitions
• Lie algebraic approaches to classical partition identities
• Construction of the affine Lie algebra \(A^{(1)}_1\)
• Rogers-Schur-Ramanujan type identities for the \(M(p,p')\) minimal models of conformal field theory
• Continued fractions and fermionic representations for characters of \(M(p,p')\) minimal models
• Combinatorial constructions of modules for infinite-dimensional Lie algebras. I: Principal subspace
• POLYNOMIAL IDENTITIES OF THE ROGERS-RAMANUJAN TYPE
• A Combinatorial Generalization of the Rogers-Ramanujan Identities
• Structure of the level two Standard Modules for the affine Lie algebra
• A new family of algebras underlying the Rogers-Ramanujan identities and generalizations
• Partitions and Durfee Dissection
• Level two representations of and Rogers-Ramanujan identities
• Sieves in the Theory of Partitions

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