Zobrazeno 1 - 10
of 160
pro vyhledávání: '"Irwin, Klee"'
Hurwitz algebras are unital composition algebras widely known in algebra and mathematical physics for their useful applications. In this paper, inspired by works of Lesenby and Hitzer, we show how to embed all seven Hurwitz algebras (division and spl
Externí odkaz:
http://arxiv.org/abs/2311.02269
In this work, we define quasicrystalline spin networks as a subspace within the standard Hilbert space of loop quantum gravity, effectively constraining the states to coherent states that align with quasicrystal geometry structures. We introduce quas
Externí odkaz:
http://arxiv.org/abs/2306.01964
We generalize Koopman-von Neumann classical mechanics to poly-symplectic fields and recover De Donder-Weyl theory. Comparing with Dirac's Hamiltonian density inspires a new Hamiltonian formulation with a canonical momentum field that is Lorentz covar
Externí odkaz:
http://arxiv.org/abs/2305.08864
In this paper we present a general setting for aperiodic Jordan algebras arising from icosahedral quasicrystals that are obtainable as model sets of a cut-and-project scheme with a convex acceptance window. In these hypothesis, we show the existence
Externí odkaz:
http://arxiv.org/abs/2303.12219
Publikováno v:
Eur. Phys. J. C (2023) 83: 849
We present three new coset manifolds named Dixon-Rosenfeld lines that are similar to Rosenfeld projective lines except over the Dixon algebra $\mathbb{C}\otimes\mathbb{H}\otimes\mathbb{O}$. Three different Lie groups are found as isometry groups of t
Externí odkaz:
http://arxiv.org/abs/2303.11334
Aperiodic algebras are infinite dimensional algebras with generators corresponding to an element of the aperiodic set. These algebras proved to be an useful tool in studying elementary excitations that can propagate in multilayered structures and in
Externí odkaz:
http://arxiv.org/abs/2302.04044
In his study on the geometry of Lie groups, Rosenfeld postulated a strict relation between all real forms of exceptional Lie groups and the isometries of projective and hyperbolic spaces over the (rank-2) tensor product of Hurwitz algebras taken with
Externí odkaz:
http://arxiv.org/abs/2212.06426
Publikováno v:
Symmetry 2022, 14(9), 1780
We show that quasicrystals exhibit anyonic behavior that can be used for topological quantum computing. In particular, we study a correspondence between the fusion Hilbert spaces of the simplest non-abelian anyon, the Fibonacci anyons, and the tiling
Externí odkaz:
http://arxiv.org/abs/2207.08928
Autor:
Planat, Michel, Amaral, Marcelo M., Fang, Fang, Chester, David, Aschheim, Raymond, Irwin, Klee
It is shown that the representation theory of some finitely presented groups thanks to their $SL_2(\mathbb{C})$ character variety is related to algebraic surfaces. We make use of the Enriques-Kodaira classification of algebraic surfaces and the relat
Externí odkaz:
http://arxiv.org/abs/2204.06872
In our investigation on quantum gravity, we introduce an infinite dimensional complex Lie algebra $\textbf{${\mathfrak g}_{\mathsf u}$}$ that extends $\mathbf{e_9}$. It is defined through a symmetric Cartan matrix of a rank 12 Borcherds algebra. We t
Externí odkaz:
http://arxiv.org/abs/2012.10248