Structure of some standard modules for \(C_ n^{(1)}\)
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Publication:1060275
DOI10.1016/0021-8693(84)90179-0zbMath0568.17008OpenAlexW2011715650MaRDI QIDQ1060275
Publication date: 1984
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8693(84)90179-0
explicit constructionRogers- Ramanujan identitiesprincipal Heisenberg subalgebraEuclidean Kac-Moody Lie algebraslevel one representationslevel one standard modulesLie algebraic proofsymplectic affine Lie algebrasz-algebras
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Partition identities; identities of Rogers-Ramanujan type (11P84)
Related Items
Kac-Moody current algebras of \(D=2\) massless gauge theories, their representations and applications ⋮ ON MULTI-COLOR PARTITIONS AND THE GENERALIZED ROGERS–RAMANUJAN IDENTITIES ⋮ Structure of some nonstandard modules for \(C_ n^{(1)}\) ⋮ Level one standard modules for affine symplectic Lie algebras ⋮ Level two representations of and Rogers-Ramanujan identities ⋮ Leading terms of relations for standard modules of the affine Lie algebras \(C_n^{(1)}\) ⋮ Structure of the level two standard modules for the affine lie algebra D(3)4 ⋮ A Construction of the Level 3 Modules for the Affine Lie Algebra 𝐴₂⁽²⁾ and a New Combinatorial Identity of the Rogers-Ramanujan Type ⋮ Elements of the annihilating ideal of a standard module ⋮ Symplectic modules ⋮ 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 ⋮ Level two standard \(\tilde A_ n\)-modules ⋮ The structure of standard modules. I: Universal algebras and the Rogers- Ramanujan identities
Cites Work
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- The structure of standard modules. I: Universal algebras and the Rogers- Ramanujan identities
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- A new family of algebras underlying the Rogers-Ramanujan identities and generalizations
- On the Geometry of Numbers in Elementary Number Theory
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- SIMPLE IRREDUCIBLE GRADED LIE ALGEBRAS OF FINITE GROWTH
