Level two representations of and Rogers-Ramanujan identities
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Publication:4304172
DOI10.1080/00927879408825059zbMath0827.17025OpenAlexW2048728813MaRDI QIDQ4304172
Maegan K. Bos, Kailash C. Misra
Publication date: 17 December 1995
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927879408825059
Kac-Moody algebrasRogers-Ramanujan identitiesWeyl-Kac character formulavacuum spaceslevel two representations
Combinatorial identities, bijective combinatorics (05A19) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)
Related Items (7)
ON MULTI-COLOR PARTITIONS AND THE GENERALIZED ROGERS–RAMANUJAN IDENTITIES ⋮ Leading terms of relations for standard modules of the affine Lie algebras \(C_n^{(1)}\) ⋮ Staircases to analytic sum-sides for many new integer partition identities of Rogers-Ramanujan type ⋮ Structure of certain level 2 standard modules for \(A_5^{(2)}\) and the Göllnitz-Gordon identities ⋮ Coding the principal character formula for affine Kac-Moody lie algebras ⋮ On level two representations of ⋮ Andrews-Gordon type series for the level 5 and 7 standard modules of the affine Lie algebra $A^{(2)}_2$
Cites Work
- 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
- Annihilating ideals of standard modules of \({\mathfrak sl}(2,{\mathbb{C}})^\sim\) and combinatorial identities
- A Lie theoretic interpretation and proof of the Rogers-Ramanujan identities
- On some representations of twisted affine Lie algebras and combinatorial identities
- Lie algebraic approaches to classical partition identities
- Construction of the affine Lie algebra \(A^{(1)}_1\)
- Realization of the Level One Standard ~ C 2k+1 -Modules
- Structure of the level two Standard Modules for the affine Lie algebra
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