6 citations · 12 across the 13 of their papers we have counts for
15 papers
Okubo algebras and Exceptional Periodicity: tetracode gradings, root-lattice obstructions and Clifford cones
Alessio Marrani, Daniele Corradetti
The Okubo algebra brings together ternary gradings, integral root frames and rank-three geometry. We examine how these structures extend to the complex Exceptional Periodicity alge…
Beyond the circle: current algebras, geometry and higher gauge structures
R. Campoamor-Stursberg, A. Marrani, M. Rausch de Traubenberg
Replacing the circle by a manifold leads to current Lie algebras and their central and derivation extensions. We separate the coefficient algebra, harmonic analysis and geometric d…
Integral Orders for the Okubo Algebra and Idempotent Geometries of the Lattice
Daniele Corradetti, Alessio Marrani
We study the Coxeter-Dickson order as a common integral support for the octonionic, para-octonionic and compact real Okubo products. The three algebra structures have the sam…
On a new class of high-corank Kac-Moody algebras
Simon Beaudoin, Quentin Bonnefoy, Alessio Marrani +2
We present recursive constructions of several families of generalized Cartan matrices associated with Kac-Moody algebras, whose sizes and coranks grow exponentially. The constructi…
Lense-Thirring Acoustic Black Holes : Shadows and Light
Anas El Balali, Alessio Marrani
We introduce the Lense-Thirring Acoustic Black Hole (LTABH), motivated by the relevance of analogue models for black holes embedded in various physical systems, such as the cosmolo…
Three Dixon-Rosenfeld Planes
David Chester, Alessio Marrani, Daniele Corradetti +1
Rosenfeld postulated ``generalized'' projective planes, which exploit a correspondence between rank-one idempotents of Jordan algebras and points of pr…
New perspectives in Kac-Moody algebras associated to higher dimensional manifolds
Rutwig Campoamor-Stursberg, Alessio Marrani, Michel Rausch de Traubenberg
In this review, we present a general framework for the construction of Kac-Moody (KM) algebras associated to higher-dimensional manifolds. Starting from the classical case of loop…
Linguistic Loops and Geometric Invariants as a Way to Pre-Verbal Thought?
Daniele Corradetti, Alessio Marrani
In this work we introduce the concepts of linguistic transformation, linguistic loop and semantic deficit. By exploiting Lie group theoretical and geometric techniques, we define i…
A new method for structural diagnostics with muon tomography and deep learning
Lorenzo Pezzotti, Davide Cifarelli, Daniele Corradetti +7
This work investigates the production of high-resolution images of typical support elements in concrete structures by means of muon tomography (muography). By exploiting detailed M…
Kac-Moody Algebras on Soft Group Manifolds
Rutwig Campoamor-Stursberg, Alessio Marrani, Michel Rausch de Traubenberg
Within the so-called group geometric approach to (super)gravity and (super)string theories, any compact Lie group manifold can be smoothly deformed into a group manifold $G…
A Kac-Moody algebra associated to the non-compact manifold SL
Rutwig Campoamor-Strusberg, Alessio Marrani, Michel Rausch de Traubenberg
We construct explicitly a Kac-Moody algebra associated to SL in two different but equivalent ways: either by identifying a Hilbert basis of SL$(2, \mathbb R))…
An infinite-rank Lie algebra associated to SL and SL
Rutwig Campoamor-Stursberg, Alessio Marrani, Michel Rausch de Traubenberg
We construct a generalised notion of Kac-Moody algebras using smooth maps from the non-compact manifolds SL and SL to a fi…
Collineation groups of octonionic and split-octonionic planes
Daniele Corradetti, Alessio Marrani, Francesco Zucconi
We present a Veronese formulation of the octonionic and split-octonionic projective and hyperbolic planes. This formulation of the incidence planes highlights the relationship betw…
A minimal and non-alternative realisation of the Cayley plane
Daniele Corradetti, Alessio Marrani, Francesco Zucconi
The compact 16-dimensional Moufang plane, also known as the Cayley plane, has traditionally been defined through the lens of octonionic geometry. In this study, we present a novel…
Physics with non-unital algebras? An invitation to the Okubo algebra
Alessio Marrani, Daniele Corradetti, Francesco Zucconi
This paper presents some preliminary discussion on the possible relevance of the Okubonions, i.e. the real Okubo algebra , in quantum chromodynamics (QCD). The Okubo a…