Results 21 to 30 of about 1,958 (231)
Advances in Applied Clifford Algebras, 2001 In this paper we introduce the concept of metric Clifford algebra $\mathcal{C\ell}(V,g)$ for a $n$-dimensional real vector space $V$ endowed with a metric extensor $g$ whose signature is $(p,q)$, with $p+q=n$. The metric Clifford product on $\mathcal{C\ell}(V,g)$ appears as a well-defined \emph{deformation}(induced by $g$) of an euclidean Clifford ...
Fernández, V. V. +2 more
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Representations of orthogonal and symplectic Yangians
Nuclear Physics B, 2021 Extended Yangian algebras of orthogonal and symplectic types are defined by the Yang-Baxter RLL relation involving the fundamental R-matrix with so(n) or sp(2m) symmetry. We study representations of highest weight characterized by weight function ratios.
D. Karakhanyan, R. Kirschner
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Spectrum and Analytic Functional Calculus for Clifford Operators via Stem Functions
Concrete Operators, 2021 The main purpose of this work is the construction of an analytic functional calculus for Clifford operators, which are operators acting on certain modules over Clifford algebras.
Vasilescu Florian-Horia
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Partitions and Clifford algebras
European Journal of Combinatorics, 2008 Given the set $[n]$ = {1,...,$n$} for positive integer $n$, combinatorial properties of Clifford algebras are exploited to count partitions and non-overlapping partitions of . The result is recovery of Stirling numbers of the second kind, Bell numbers, and Bessel numbers.
René Schott, G. Stacey Staples
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Separable Cowreaths Over Clifford Algebras
, 2023 The fundamental notion of separability for commutative algebras was interpreted in categorical setting where also the stronger notion of heavily separability was introduced.
Torrecillas B., Menini C.
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Structure theory of Clifford-Weyl algebras and representations of ortho-symplectic Lie superalgebras [PDF]
AUT Journal of Mathematics and ComputingIn 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
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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. +3 more
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Brownian Motion, Martingales and Itô Formula in Clifford Analysis [PDF]
, 2022 Clifford analysis has been the field of active research for several decades resulting in various methods to solve problems in pure and applied mathematics.
Bernstein, Swanhild, Legatiuk, Dmitrii
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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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