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Developing GA-FuL: A Generic Wide-Purpose Library for Computing with Geometric Algebra

open access: yesMathematics
The Geometric Algebra Fulcrum Library (GA-FuL) version 1.0 is introduced in this paper as a comprehensive computational library for geometric algebra (GA) and Clifford algebra (CA), in addition to other classical algebras.
Ahmad Hosny Eid, Francisco G. Montoya
doaj   +1 more source

Partially-massless higher spin algebras in four dimensions

open access: yesJournal of High Energy Physics
We propose a realisation of partially-massless higher spin algebras in four dimensions in terms of bosonic and fermionic oscillators, using Howe duality between sp(4, ℝ) ≅ so(2, 3) and osp(1|2(ℓ − 1), ℝ).
Thomas Basile, Shailesh Dhasmana
doaj   +1 more source

The Moore-Penrose Inverses of Clifford Algebra $C\ell_2$ [PDF]

open access: green, 2022
Rong lan Zheng   +2 more
openalex   +1 more source

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