Spencer cohomology and 11-dimensional supergravity
J Figueroa-O'Farrill, A Santi - Communications in Mathematical Physics, 2017 - Springer
We recover the classification of the maximally supersymmetric bosonic backgrounds of 11-
dimensional supergravity by Lie algebraic means. We classify all filtered deformations of the …
dimensional supergravity by Lie algebraic means. We classify all filtered deformations of the …
On the algebraic structure of Killing superalgebras
J Figueroa-O'Farrill, A Santi - arXiv preprint arXiv:1608.05915, 2016 - arxiv.org
We study the algebraic structure of the Killing superalgebra of a supersymmetric background
of $11 $-dimensional supergravity and show that it is isomorphic to a filtered deformation of …
of $11 $-dimensional supergravity and show that it is isomorphic to a filtered deformation of …
[HTML][HTML] Classification of maximal transitive prolongations of super-Poincaré algebras
A Altomani, A Santi - Advances in Mathematics, 2014 - Elsevier
Let V be a complex vector space with a non-degenerate symmetric bilinear form and S an
irreducible module over the Clifford algebra C ℓ (V) determined by this form. A …
irreducible module over the Clifford algebra C ℓ (V) determined by this form. A …
Lie algebras attached to Clifford modules and simple graded Lie algebras
K Furutani, MG Molina, I Markina, T Morimoto… - arXiv preprint arXiv …, 2017 - arxiv.org
We study possible cases of complex simple graded Lie algebras of depth 2, which are the
Tanaka prolongations of pseudo $ H $-type Lie algebras arising through representation of …
Tanaka prolongations of pseudo $ H $-type Lie algebras arising through representation of …
EXCEPTIONAL SIMPLE REAL LIE ALGEBRAS VIA CONTACTIFICATIONS
P Nurowski - Journal of the Institute of Mathematics of Jussieu, 2024 - cambridge.org
EXCEPTIONAL SIMPLE REAL LIE ALGEBRAS f4 AND e6 VIA CONTACTIFICATIONS 8.1.
Cartan’s realisation of fI 18 Page 1 J. Inst. Math. Jussieu (2024), 1–45 doi:10.1017/S1474748024000173 …
Cartan’s realisation of fI 18 Page 1 J. Inst. Math. Jussieu (2024), 1–45 doi:10.1017/S1474748024000173 …
[HTML][HTML] Classification of simple linearly compact Kantor triple systems over the complex numbers
N Cantarini, A Ricciardo, A Santi - Journal of Algebra, 2018 - Elsevier
Simple finite-dimensional Kantor triple systems over the complex numbers are classified in
terms of Satake diagrams. We prove that every simple and linearly compact Kantor triple …
terms of Satake diagrams. We prove that every simple and linearly compact Kantor triple …
Invariant integral structures in pseudo -type Lie algebras: construction and classification
K Furutani, I Markina - arXiv preprint arXiv:2308.02806, 2023 - arxiv.org
Pseudo $ H $-type Lie algebras are a special class of 2-step nilpotent metric Lie algebras,
intimately related to Clifford algebras $\Cl_ {r, s} $. In this work we propose the classification …
intimately related to Clifford algebras $\Cl_ {r, s} $. In this work we propose the classification …
Rigidity of 2-step Carnot groups
M Godoy Molina, B Kruglikov, I Markina… - The Journal of Geometric …, 2018 - Springer
In the present paper, we study the rigidity of 2-step Carnot groups, or equivalently, of graded
2-step nilpotent Lie algebras. We prove the alternative that depending on bi-dimensions of …
2-step nilpotent Lie algebras. We prove the alternative that depending on bi-dimensions of …
Exceptional real Lie algebras and via contactifications
P Nurowski - arXiv preprint arXiv:2302.13606, 2023 - arxiv.org
In Cartan's PhD thesis, there is a formula defining a certain rank 8 vector distribution in
dimension 15, whose algebra of authomorphism is the split real form of the simple …
dimension 15, whose algebra of authomorphism is the split real form of the simple …
Homogeneous symplectic 4-manifolds and finite dimensional Lie algebras of symplectic vector fields on the symplectic 4-space
D Alekseevsky, A Santi - arXiv preprint arXiv:1803.08750, 2018 - arxiv.org
We classify the finite type (in the sense of E. Cartan theory of prolongations) subalgebras
$\mathfrak {h}\subset\mathfrak {sp}(V) $, where $ V $ is the symplectic 4-dimensional space …
$\mathfrak {h}\subset\mathfrak {sp}(V) $, where $ V $ is the symplectic 4-dimensional space …