Results 51 to 60 of about 1,958 (231)
Exponentials of general multivector in 3D Clifford algebras
Nonlinear Analysis, 2022 Closed form expressions to calculate the exponential of a general multivector (MV) in Clifford geometric algebras (GAs) Clp;q are presented for n = p + q = 3.
Adolfas Dargys, Artūras Acus
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Fortschritte der Physik, Volume 74, Issue 5, May 2026.ABSTRACT We provide full details of a BV formulation of N=1$\mathcal N=1$ supergravity in 10 dimensions, to all orders in fermions, built from the generalised geometry description of the theory. In contrast to standard treatments, we introduce neither the degrees of freedom corresponding to orthonormal frames for the metric nor the local Lorentz ...
Julian Kupka +2 more
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On q-deformed Clifford algebras
, 2000 : Several Clifford algebras that are covariant under the action of a Lie algebra $g$ can be deformed in a way consistent with the deformation of $Ug$ into a quantum group (or into a triangular Hopf algebra) $U_qg$, i.e.
FIORE, GAETANO
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Logarithm of multivector in real 3D Clifford algebras
Nonlinear Analysis, 2023 Closed form expressions for a logarithm of general multivector (MV) in basis-free form in real geometric algebras (GAs) Clp,q are presented for all n = p + q = 3.
Artūras Acus, Adolfas Dargys
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Deforming the Double‐Scaled SYK and Reaching the Stretched Horizon From Finite Cutoff Holography
Fortschritte der Physik, Volume 74, Issue 5, May 2026.ABSTRACT We study the properties of the double‐scaled SYK (DSSYK) model under chord Hamiltonian deformations based on finite cutoff holography for general dilaton gravity theories with Dirichlet boundaries. The formalism immediately incorporates a lower‐dimensional analog of TT¯(+Λ2)$\text{T}\overline{\text{T}}(+\Lambda _2)$ deformations, denoted T2 ...
Sergio E. Aguilar‐Gutierrez
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Fortschritte der Physik, Volume 74, Issue 4, April 2026.ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré +4 more
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On a generalization of clifford algebras
Journal of Algebra, 1971 Let V be a vector space over a field k, Q a quadratic form on V, T(V) the tensor algebra of IT. We want to study those algebras C generated by 77 having the following property(P)? Any isometry on Vwith respect to Q can be extended to an automorphism of C having invariant V, and conversely, every automorphism of C mapping V onto itself induces an ...
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Pseudo-bundles of exterior algebras as diffeological Clifford modules
, 2017 We consider the diffeological pseudo-bundles of exterior algebras, and the Clifford action of the corresponding Clifford algebras, associated to a given finite-dimensional and locally trivial diffeological vector pseudo-bundle, as well as the behavior of
PERVOVA, EKATERINA, Ekaterina Pervova
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Hochschild Cohomology and Deformations of Clifford-Weyl Algebras
Symmetry, Integrability and Geometry: Methods and Applications, 2009 We give a complete study of the Clifford-Weyl algebra C(n,2k) from Bose-Fermi statistics, including Hochschild cohomology (with coefficients in itself). We show that C(n,2k) is rigid when n is even or when k ≠ 1. We find all non-trivial deformations of C(
Ian M. Musson +2 more
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A binary encoding of spinors and applications
Complex Manifolds, 2020 We present a binary code for spinors and Clifford multiplication using non-negative integers and their binary expressions, which can be easily implemented in computer programs for explicit calculations.
Arizmendi Gerardo, Herrera Rafael
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