Embedding of the Lie superalgebra D(2,1;α) into the Lie superalgebra of pseudodifferential symbols on S1∣2
From MaRDI portal
Publication:3544483
DOI10.1063/1.2793570zbMath1152.81584arXiv0709.0083OpenAlexW3102955531MaRDI QIDQ3544483
Publication date: 8 December 2008
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0709.0083
Lie algebras of vector fields and related (super) algebras (17B66) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)
Related Items (6)
Deforming the Lie superalgebra \(D(2,1; \alpha \)) inside the superconformal algebra \(K^{\prime}(4)\) ⋮ On matrix realizations of the Lie superalgebra \(D(2,1;\alpha )\) ⋮ On cohomology of the Lie superalgebra \(D(2,1;\alpha )\) ⋮ Matrix realizations of exceptional superconformal algebras ⋮ ON THE STRUCTURE OF GRADED LIE SUPERALGEBRAS ⋮ On split Lie superalgebras
Cites Work
- Unnamed Item
- Unnamed Item
- Extensions and contractions of the Lie algebra of \(q\)-pseudodifferential symbols on the circle
- A central extension of the algebra of pseudodifferential symbols
- Classification of infinite-dimensional simple linearly compact Lie superalgebras
- Deforming the Lie algebra of vector fields on \(S^1\) inside the Poisson algebra on \(\dot T^*S^1\)
- Structure of some \(\mathbb Z\)-graded Lie superalgebras of vector fields
- A new \(N=6\) superconformal algebra
- Five exceptional simple Lie superalgebras of vector fields
- ON A ONE-PARAMETER FAMILY OF EXOTIC SUPERSPACES IN TWO DIMENSIONS
- A spinor-like representation of the contact superconformal algebra K′(4)
- Classification of all simple graded Lie algebras whose Lie algebra is reductive. II. Construction of the exceptional algebras
- Lie superalgebras graded by P ( n ) and Q ( n )
- Lie superalgebras
- Simple finite-dimensional Jordan superalgebras of prime characteristic
- Erratum: Superconformal algebras and transitive group actions on quadratics.
- \(\widehat{\text{sl}}(2|1)\) and \(\widehat{D}(2|1;\alpha)\) as vertex operator extensions of dual affine sl(2) algebras
This page was built for publication: Embedding of the Lie superalgebra D(2,1;α) into the Lie superalgebra of pseudodifferential symbols on S1∣2