Classification of maximal transitive prolongations of super-Poincaré algebras

DOI10.1016/j.aim.2014.07.031zbMath1331.17024arXiv1212.1826OpenAlexW2088288882MaRDI QIDQ406290

Andrea Santi, Andrea Altomani

Publication date: 8 September 2014

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.1826

zbMATH Keywords

supergravityClifford algebras and spinorssuper-Poincaré algebrasTanaka prolongations

Mathematics Subject Classification ID

Graded Lie (super)algebras (17B70)

Related Items (11)

Supersymmetric Yang-Mills theory on conformal supergravity backgrounds in ten dimensions ⋮ Killing superalgebras for Lorentzian four-manifolds ⋮ Rigidity of 2-step Carnot groups ⋮ Complete classification of pseudo \(H\)-type Lie algebras. I ⋮ Fundamental solutions of a class of ultra-hyperbolic operators on pseudo \(H\)-type groups ⋮ Symmetries of supergeometries related to nonholonomic superdistributions ⋮ Automorphism groups of pseudo \(H\)-type algebras ⋮ Spencer cohomology and 11-dimensional supergravity ⋮ Lie algebras attached to Clifford modules and simple graded Lie algebras ⋮ Complete classification of pseudo \(H\)-type algebras. II ⋮ Classification of simple linearly compact Kantor triple systems over the complex numbers

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Super-Poincarè algebras, space-times and supergravities. I
• Minkowski superspaces and superstrings as almost real-complex supermanifolds
• Torsion constraints in supergeometry
• Infinite-dimensional primitive linearly compact Lie superalgebras
• Classification of finite dimensional modular Lie superalgebras with indecomposable Cartan matrix
• Superization of homogeneous spin manifolds and geometry of homogeneous supermanifolds
• Irreducible complex skew-Berger algebras
• How to realize a Lie algebra by vector fields
• Geometry of \(N=1\) supergravity
• Geometry of \(N=1\) supergravity. II
• A sketch of Lie superalgebra theory
• The theory of Lie superalgebras. An introduction
• Classification of infinite-dimensional simple linearly compact Lie superalgebras
• Classification of \(N\)-(super)-extended Poincaré algebras and bilinear invariants of the spinor representation of \(Spin(p,q)\)
• Differentiably simple Lie superalgebras and representations of semisimple Lie superalgebras
• Addendum: Generalized Spencer cohomology and filtered deformations of \(\mathbb Z\)-graded Lie superalgebras
• On differential systems, graded Lie algebras and pseudo-groups
• Infinite dimensional primitive Lie algebras
• Infinite-dimensional filtered Lie algebras and their connection with graded Lie algebras
• Super-Poincarè algebras, space-times, and supergravities. II
• AUTOMORPHISMS AND FORMS OF SIMPLE INFINITE-DIMENSIONAL LINEARLY COMPACT LIE SUPERALGEBRAS
• Classification of Finite-Growth General Kac–Moody Superalgebras
• AUTOMORPHISMS OF SIMPLE LIE SUPERALGEBRAS
• A classification of contragredient lie superalgebras of finite growth
• Erratum
• Supersymmetries and their representations
• [https://portal.mardi4nfdi.de/wiki/Publication:5174981 Tanaka structures modeled on extended Poincar� algebras]
• An algebraic model of transitive differential geometry
• The Classification of Almost Affine (Hyperbolic) Lie Superalgebras
• Supergravity
• Lie superalgebras

This page was built for publication: Classification of maximal transitive prolongations of super-Poincaré algebras