Javascript must be enabled to continue!
Clifford Algebra in R: Introducing the Clifford Package
View through CrossRef
Abstract
Here I present the package for working with Clifford algebras in the R programming language. Algebras of arbitrary dimension and signature can be manipulated, and a range of different multiplication operators is provided. The algebra is described and package idiom is given; it obeys discipline. A case-study of conformal algebra is presented. The package is available on CRAN and development versions are hosted at github.
Springer Science and Business Media LLC
Title: Clifford Algebra in R: Introducing the Clifford Package
Description:
Abstract
Here I present the package for working with Clifford algebras in the R programming language.
Algebras of arbitrary dimension and signature can be manipulated, and a range of different multiplication operators is provided.
The algebra is described and package idiom is given; it obeys discipline.
A case-study of conformal algebra is presented.
The package is available on CRAN and development versions are hosted at github.
Related Results
The Weil Algebra and the Weil Model
The Weil Algebra and the Weil Model
This chapter evaluates the Weil algebra and the Weil model. The Weil algebra of a Lie algebra g is a g-differential graded algebra that in a definite sense models the total space E...
Quasi-pre-Lie bialgebras and twisting of pre-Lie algebras
Quasi-pre-Lie bialgebras and twisting of pre-Lie algebras
Given a (quasi-)twilled pre-Lie algebra, we first construct a differential graded Lie algebra ([Formula: see text]-algebra). Then we study the twisting theory of (quasi-)twilled pr...
Lukasiewicz Fuzzy BM-Algebra and BM-Ideal
Lukasiewicz Fuzzy BM-Algebra and BM-Ideal
Introduction: ℱ???????????????? Sets is a mathematical framework that expands the traditional concept of sets by enabling elements to have degrees of membership. This enables parti...
Anne Clifford
Anne Clifford
Lady Anne Clifford (b. 30 January 1590–d. 22 March 1676) spent a considerable portion of her life embroiled in lawsuits attempting to recover her father’s extensive land holdings a...
Irish 14-year-old students’ knowledge of initial algebra
Irish 14-year-old students’ knowledge of initial algebra
Initial algebra is a critical stage in the teaching of algebra and occurs when students are transitioning from arithmetic to algebra. Irish mathematics education at post-primary le...
Efficient Unitary Designs with a System-Size Independent Number of Non-Clifford Gates
Efficient Unitary Designs with a System-Size Independent Number of Non-Clifford Gates
AbstractMany quantum information protocols require the implementation of random unitaries. Because it takes exponential resources to produce Haar-random unitaries drawn from the fu...
Finitely Presented Heyting Algebras
Finitely Presented Heyting Algebras
In this paper we study the structure of finitely presented Heyting<br />algebras. Using algebraic techniques (as opposed to techniques from proof-theory) we show that every s...
The Roger–Yang skein algebra and the decorated Teichmüller space
The Roger–Yang skein algebra and the decorated Teichmüller space
Based on hyperbolic geometric considerations, Roger and Yang introduced an extension of the Kauffman bracket skein algebra that includes arcs. In particular, their skein algebra is...

