On the classification of non-equal rank affine conformal embeddings and applications
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Publication:1652900
DOI10.1007/s00029-017-0386-7zbMath1447.17018arXiv1702.06089OpenAlexW2963347798MaRDI QIDQ1652900
Victor G. Kac, Paolo Papi, Dražen Adamović, Pierluigi Möseneder Frajria, Ozren Perše
Publication date: 16 July 2018
Published in: Selecta Mathematica. New Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1702.06089
vertex operator algebraconformal embeddingHowe dual pairs\(q\)-series identitynon-equal rank subalgebra
Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional Lie (super)algebras (17B65) Simple, semisimple, reductive (super)algebras (17B20)
Related Items
Kostant Pairs of Lie Type and Conformal Embeddings, Conformal embeddings in affine vertex superalgebras
Cites Work
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- The vertex algebra \(M(1)^{+}\) and certain affine vertex algebras of level \(-1\)
- The work of Vladimir Morozov on Lie algebras
- Finite vs. infinite decompositions in conformal embeddings
- Decomposition rules for conformal pairs associated to symmetric spaces and Abelian subalgebras of \(\mathbb Z_{2}\)-graded Lie algebras
- On simplicity of vacuum modules
- Symmetric spaces, Sugawara's energy momentum tensor in two dimensions and free fermions.
- Modular and conformal invariance constraints in representation theory of affine algebras
- On the irreducibility of associated varieties of \(W\)-algebras
- Twisted compactifications of 3d \( \mathcal{N} =4\) theories and conformal blocks
- On the representation of integers as sums of triangular numbers
- Some general results on conformal embeddings of affine vertex operator algebras
- A cubic Dirac operator and the emergence of Euler number multiplets of representations for equal rank subgroups
- Arc spaces and the vertex algebra commutant problem
- Conformal embeddings of affine vertex algebras in minimal \(W\)-algebras. II: Decompositions
- Sheets and associated varieties of affine vertex algebras
- Quasi-lisse vertex algebras and modular linear differential equations
- Level-rank duality via tensor categories
- Howe pairs in the theory of vertex algebras
- A note on representations of some affine vertex algebras of type D
- ISOTROPY REPRESENTATIONS, EIGENVALUES OF A CASIMIR ELEMENT, AND COMMUTATIVE LIE SUBALGEBRAS
- Conformal Embeddings and Simple Current Extensions
- Remarks on Classical Invariant Theory
- JOSEPH IDEALS AND LISSE MINIMAL -ALGEBRAS
- The semisimple subalgebras of exceptional Lie algebras
- FUSION RULES AND COMPLETE REDUCIBILITY OF CERTAIN MODULES FOR AFFINE LIE ALGEBRAS
- Lie superalgebras
- The Weyl algebra and the structure of all Lie superalgebras of Riemannian type
