Combinatorial bases of basic modules for affine Lie algebras Cn(1)
From MaRDI portal
Publication:2825535
DOI10.1063/1.4962392zbMath1406.17032OpenAlexW2520057784MaRDI QIDQ2825535
Publication date: 13 October 2016
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.4962392
Combinatorial identities, bijective combinatorics (05A19) Universal enveloping (super)algebras (17B35) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Vertex operators; vertex operator algebras and related structures (17B69) Partition identities; identities of Rogers-Ramanujan type (11P84)
Related Items (10)
Multi-grounded partitions and character formulas ⋮ Further 𝑞-series identities and conjectures relating false theta functions and characters ⋮ Some remarks on associated varieties of vertex operator superalgebras ⋮ Generalisations of Capparelli's and Primc's identities. I: Coloured Frobenius partitions and combinatorial proofs ⋮ Leading terms of relations for standard modules of the affine Lie algebras \(C_n^{(1)}\) ⋮ Combinatorial relations among relations for level 2 standard Cn(1)-modules ⋮ Some Combinatorial Coincidences for Standard Representations of Affine Lie Algebras ⋮ Multi-grounded partitions and character formulas ⋮ On partition identities of Capparelli and Primc ⋮ New partition identities from \(C^{(1)}_\ell\)-modules
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The structure of standard modules. II: The case \(A_ 1^{(1)}\), principal gradation
- Sugawara operators and Kac-Kazhdan conjecture
- Vertex operator algebras associated to representations of affine and Virasoro algebras
- On some representations of twisted affine Lie algebras and combinatorial identities
- Lie algebra homology and the Macdonald-Kac formulas
- Certain generating subspaces for vertex operator algebras
- Generalized vertex algebras and relative vertex operators
- Local systems of vertex operators, vertex superalgebras and modules
- Leading terms of relations for standard modules of the affine Lie algebras \(C_n^{(1)}\)
- Realization of the Level One Standard ~ C 2k+1 -Modules
- Vertex algebras, Kac-Moody algebras, and the Monster
- AFFINE KAC-MOODY ALGEBRAS AT THE CRITICAL LEVEL AND GELFAND-DIKII ALGEBRAS
- Annihilating fields of standard modules of 𝔰𝔩(2,ℭ)^{∼} and combinatorial identities
- A BASIS OF THE BASIC $\mathfrak{sl} ({\bf 3}, {\mathbb C})^~$-MODULE
- Highest Weight Modules Over Graded Lie Algebras: Resolutions, Filtrations and Character Formulas
- On axiomatic approaches to vertex operator algebras and modules
This page was built for publication: Combinatorial bases of basic modules for affine Lie algebras Cn(1)