Results 61 to 70 of about 341,392 (155)

Clifford algebra as a bridge between discrete and continuous worlds

, 2018
There are several topics of Clifford algebra where discrete and continuous worlds are deeply intertwined, one for all the Cartan theorem that expresses continuous automorphisms by a succession of reflections, but they thrive separately an do not fit in a
Marco Budinich
core   +1 more source

Causal analysis of extreme risk in a network of industry portfolios

Canadian Journal of Statistics, Volume 54, Issue 1, March 2026.
Abstract We provide a detailed review of causal dependence within the framework of max‐linear structural models. Such models express each node variable as a max‐linear function of its parental node variables in a directed acyclic graph (DAG) and some exogenous innovation.
Claudia Klüppelberg, Mario Krali
wiley   +1 more source

Dirac sources for nonmetricity and torsion in metric-affine gravity

European Physical Journal C: Particles and Fields
Metric-affine gravity (GL(4) gauge theory) in 4-dimensions is coupled to a spacetime Dirac source field using the isomorphisms of the Lie algebra gl(4) to the Clifford algebras Cl(3,1) and Cl(2,2). A simple transformation relates the generators of Cl(3,1)
James T. Wheeler
doaj   +1 more source

Clifford Maxima package v 2.5.4

, 2023
<p><strong>Clifford</strong></p> <p>is a lightweight package for performing Geometric and Clifford Algebra calculations in Maxima.</p> <p>The release includes new versions of <strong>climatrep.mac< ...
Dimiter Prodanov
core   +1 more source

Diffeological Clifford algebras and pseudo-bundles of Clifford modules [PDF]

, 2018
We consider the diffeological version of the Clifford algebra of a (diffeological) finite-dimensional vector space; we start by commenting on the notion of a diffeological algebra (which is the expected analogue of the usual one) and that of a ...
PERVOVA, EKATERINA, Ekaterina Pervova
core   +1 more source

Hecke-Clifford Algebras and Spin Hecke Algebras IV: Odd Double Affine Type

Symmetry, Integrability and Geometry: Methods and Applications, 2009
We introduce an odd double affine Hecke algebra (DaHa) generated by a classical Weyl group $W$ and two skew-polynomial subalgebras of anticommuting generators.
Ta Khongsap, Weiqiang Wang
doaj   +1 more source

Structure theory of Clifford-Weyl algebras and representations of ortho-symplectic Lie superalgebras [PDF]

AUT Journal of Mathematics and Computing
In this article, the structure of the Clifford-Weyl superalgebras and their associated Lie superalgebras will be investigated. These superalgebras have a natural supersymmetric inner product which is invariant under their Lie superalgebra structures. The
Nasser Boroojerdian
doaj   +1 more source

Clifford Algebra Calculations with Representation Theory & an Introduction to Clifford Algebra [PDF]

, 2011
The goals of this paper are to provide an introduction to vector, exterior and Clifford algebra and to present a method for performing Clifford algebra calculations efficiently using representation theory. Vectors, exterior algebra and other mathematical
Scherling, Alexander I.
core  

Geometric Algebra Quantum Gate Decomposition

Axioms
Quantum gates are traditionally described using matrix and tensor-product formalisms, representations that provide limited geometric intuition. In this work, we develop a formulation of the Pauli and Clifford groups within the complex Geometric Algebra ...
Youssef Amraoui, Zeno Toffano
doaj   +1 more source

Explicit isomorphisms of real Clifford algebras

International Journal of Mathematics and Mathematical Sciences, 2006
It is well known that the Clifford algebra Clp,q associated to a nondegenerate quadratic form on ℝn (n=p+q) is isomorphic to a matrix algebra K(m) or direct sum K(m)⊕K(m) of matrix algebras, where K=ℝ,ℂ,ℍ.
N. Değırmencı, Ş. Karapazar
doaj   +1 more source