Results 31 to 40 of about 1,958 (231)
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
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Quaternions and Clifford Algebras
, 2021 Quaternions are a type of hypercomplex numbers. Unit quaternions, which describe rotations, were called versors by Hamilton. The concept of versor can be generalized as the product of invertible vectors in the Clifford algebra. Clifford algebras are also
Alba Perez Gracia, Pérez Gracia, Alba
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Applications of Clifford’s Geometric Algebra [PDF]
Advances in Applied Clifford Algebras, 2013 26 pages, 91 ...
Eckhard Hitzer +2 more
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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
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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
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Computation of Minimal Polynomials and Multivector Inverses in Non-Degenerate Clifford Algebras
MathematicsClifford algebras are an active area of mathematical research having numerous applications in mathematical physics and computer graphics, among many others.
Dimiter Prodanov
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Demonstratio Mathematica, 2021 The purpose of this article is to demonstrate how to use the mathematics of spinor bundles and their category. We have used the methods of principle fiber bundles obey thorough solid harmonic treatment of pseudo-Riemannian manifolds and spinor structures
Hassan Yousif Atyeib Ibrahim
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Clifford Algebras, Spin Groups and Qubit Trees
Quanta, 2022 Representations of Spin groups and Clifford algebras derived from the structure of qubit trees are introduced in this work. For ternary trees the construction is more general and reduction to binary trees is formally defined by deletion of superfluous ...
Alexander Yurievich Vlasov
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Circles and Clifford Algebras [PDF]
Functional Analysis and Its Applications, 2004 Consider a smooth map from a neighborhood of the origin in a real vector space to a neighborhood of the origin in a Euclidean space. Suppose that this map takes all germs of lines passing through the origin to germs of Euclidean circles, or lines, or a point. We prove that under some simple additional assumptions this map takes all lines passing though
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Idempotent Geometry in Generic Algebras
, 2018 Using the syzygy method, established in our earlier paper (Krasnov and Tkachev, 2018), we characterize the combinatorial stratification of the variety of two-dimensional real generic algebras.
Krasnov, Yakov, +3 more
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