Bases of Feigin-Stoyanovsky's type subspaces for \(C_\ell ^{(1)}\)
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Publication:1696820
DOI10.1007/s11139-016-9840-yzbMath1430.17074arXiv1603.04594OpenAlexW2297367013MaRDI QIDQ1696820
Goran Trupčević, Ivana Baranović, Mirko Primc
Publication date: 15 February 2018
Published in: The Ramanujan Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1603.04594
Combinatorial identities, bijective combinatorics (05A19) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Vertex operators; vertex operator algebras and related structures (17B69)
Related Items (7)
Some remarks on associated varieties of vertex operator superalgebras ⋮ Vertex-algebraic structure of principal subspaces of the basic modules for twisted affine Lie algebras of type \(A_{2n-1}^{(2)}\), \(D_n^{(2)}\), \(E_6^{(2)}\) ⋮ Leading terms of relations for standard modules of the affine Lie algebras \(C_n^{(1)}\) ⋮ Quasi-particle Bases of Principal Subspaces of Affine Lie Algebras ⋮ Some Combinatorial Coincidences for Standard Representations of Affine Lie Algebras ⋮ Bases of standard modules for affine Lie algebras of type ⋮ Principal subspaces for the affine Lie algebras in types \(D, E\) and \(F\)
Cites Work
- Unnamed Item
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- Combinatorial bases of principal subspaces for the affine Lie algebra of type \(B_2^{(1)}\)
- The Rogers-Selberg recursions, the Gordon-Andrews identities and intertwining operators
- Principal subspaces of higher-level standard \(\widehat{\mathfrak{sl}(3)}\)-modules
- Vertex-algebraic structure of the principal subspaces of certain \(A_1^{(1)}\)-modules. II: Higher-level case
- A new perspective on the Frenkel-Zhu fusion rule theorem
- Fermionic characters and arbitrary highest-weight integrable \({\widehat{\mathfrak{sl}}}_{r+1}\)-modules
- Lie algebra deformations and character formulas
- Generalized vertex algebras and relative vertex operators
- Vertex operator construction of standard modules for \(A_ n^{(1)}\)
- Introduction to vertex operator algebras and their representations
- Bosonic formulas for (\(k, l\))-admissible partitions
- Basic representations for classical affine Lie algebras
- The automorphisms of affine fusion rings.
- Fermionic formulas for \((k,3)\)-admissible configurations
- Functional models of the representations of current algebras and semi-infinite Schubert cells
- Simple currents and extensions of vertex operator algebras
- Combinatorial constructions of modules for infinite-dimensional Lie algebras. I: Principal subspace
- Combinatorial bases of modules for affine Lie algebra \(B_2^{(1)}\)
- Presentations of the principal subspaces of the higher-level standard \(\widehat{\mathfrak{sl}(3)}\)-modules
- Vertex-algebraic structure of the principal subspaces of level one modules for the untwisted affine Lie algebras of types \(A,D,E\)
- Leading terms of relations for standard modules of the affine Lie algebras \(C_n^{(1)}\)
- Combinatorial bases of Feigin-Stoyanovsky's type subspaces of higher-level standard \(\tilde {\mathfrak {sl}} (\ell +1, \mathbb C)\)-modules
- Combinatorial Bases of Feigin–Stoyanovsky's Type Subspaces of Level 2 Standard Modules for
- Combinatorial Bases of Feigin–Stoyanovsky's Type Subspaces of Level 1 Standard Modules for
- Structure of the Standard Modules for the Affine Lie Algebra 𝐴⁽¹⁾₁
- Annihilating fields of standard modules of 𝔰𝔩(2,ℭ)^{∼} and combinatorial identities
- THE ROGERS–RAMANUJAN RECURSION AND INTERTWINING OPERATORS
- On axiomatic approaches to vertex operator algebras and modules
- Introduction to Lie Algebras and Representation Theory
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