Results 21 to 30 of about 266 (166)

Clifford Algebra with Mathematica [PDF]

, 2008
The Clifford algebra of a n-dimensional Euclidean vector space provides a general language comprising vectors, complex numbers, quaternions, Grassman algebra, Pauli and Dirac matrices. In this work, we present an introduction to the main ideas of Clifford algebra, with the main goal to develop a package for Clifford algebra calculations for the ...
Aragon-Camarasa, G., Aragon-Gonzalez, G., Aragon, J.L., Andrade, M.A.   +3 more
openaire   +2 more sources

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 in R

CoRR, 2022
8 ...
openaire   +2 more sources

Graded Skew Clifford Algebras That Are Twists of Graded Clifford Algebras [PDF]

Communications in Algebra, 2014
7 ...
Nafari, Manizheh, Vancliff, Michaela
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Applications of Clifford’s Geometric Algebra [PDF]

Advances in Applied Clifford Algebras, 2013
26 pages, 91 ...
Eckhard Hitzer, Tohru Nitta, Yasuaki Kuroe   +2 more
openaire   +3 more sources

Skew Clifford algebras

Journal of Pure and Applied Algebra, 2019
We introduce a generalization, called a skew Clifford algebra, of a Clifford algebra, and relate these new algebras to the notion of graded skew Clifford algebra that was defined in 2010. In particular, we examine homogenizations of skew Clifford algebras, and determine which skew Clifford algebras can be homogenized to create Artin-Schelter regular ...
Cassidy, Thomas, Vancliff, Michaela
openaire   +4 more sources

New construction of algebras as quotients

Revista Bases de la Ciencia, 2020
  In this article we have presented a new approach to define algebras using for a natural number k ≥ 2, the set of natural numbers in base k, none of their digits equal to zero.
José Ramón Játem Lásser
doaj   +1 more source

Derivations on Certain Semigroup Algebras [PDF]

Journal of Sciences, Islamic Republic of Iran, 2007
In the present paper we give a partially negative answer to a conjecture of Ghahramani, Runde and Willis. We also discuss the derivation problem for both foundation semigroup algebras and Clifford semigroup algebras.
M. Lashkarizadeh Bami
doaj  

A Unique Mathematical Derivation of the Fundamental Laws of Nature Based on a New Algebraic-Axiomatic (Matrix) Approach ‡

Universe, 2017
In this article, as a new mathematical approach to origin of the laws of nature, using a new basic algebraic axiomatic (matrix) formalism based on the ring theory and Clifford algebras (presented in Section 2), “it is shown that certain mathematical ...
Ramin Zahedi
doaj   +1 more source

Computation of Minimal Polynomials and Multivector Inverses in Non-Degenerate Clifford Algebras

Mathematics
Clifford algebras are an active area of mathematical research having numerous applications in mathematical physics and computer graphics, among many others.
Dimiter Prodanov
doaj   +1 more source