Results 1 to 10 of about 9,807 (108)
A Classification of Lie Algebras of Pseudo-Unitary Groups in the Techniques of Clifford Algebras [PDF]
Advances in Applied Clifford Algebras, 2009 In this paper we present new formulas, which represent commutators and anticommutators of Clifford algebra elements as sums of elements of different ranks. Using these formulas we consider subalgebras of Lie algebras of pseudounitary groups. Our main techniques are Clifford algebras. We have find 12 types of subalgebras of Lie algebras of pseudounitary
Shirokov, Dmitry
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Classification of Extended Clifford Algebras [PDF]
Russian Mathematics, 2018 Considering tensor products of special commutative algebras and general real Clifford algebras, we arrive at extended Clifford algebras. We have found that there are five types of extended Clifford algebras. The class of extended Clifford algebras is closed with respect to the tensor product.
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SciPost Physics Proceedings, 2023 The paper develops, within a new representation of Clifford algebras in terms of tensor products of quaternions called hyperquaternions, several applications.
Patrick R. Girard, Romaric Pujol, Patrick Clarysse, Philippe Delachartre
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Fault-Tolerant Logical Gates in Holographic Stabilizer Codes Are Severely Restricted
PRX Quantum, 2021 We evaluate the usefulness of holographic stabilizer codes for fault-tolerant quantum computing by studying their allowed sets of fault-tolerantly implementable gates.
Sam Cree +3 more
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Journal of High Energy Physics, 2021 We consider Bekenstein-Hawking entropy and attractors in extremal BPS black holes of N $$ \mathcal{N} $$ = 2, D = 4 ungauged supergravity obtained as reduction of minimal, matter-coupled D = 5 supergravity.
Bert van Geemen +2 more
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Subliminal aspects concerning the Lounesto’s classification
European Physical Journal C: Particles and Fields, 2020 In the present communication we employ a split programme applied to spinors belonging to the regular and singular sectors of the Lounesto’s classification (Clifford algebras and spinors, Cambridge University Press, Cambridge), looking towards unveil how ...
R. J. Bueno Rogerio
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Quaternionic and Octonionic Spinors. A Classification [PDF]
, 2003 Quaternionic and octonionic realizations of Clifford algebras and spinors are classified and explicitly constructed in terms of recursive formulas. The most general free dynamics in arbitrary signature space-times for both quaternionic and octonionic ...
C.A. Barton +29 more
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Graded commutative algebras: examples, classification, open problems [PDF]
, 2009 We consider $\G$-graded commutative algebras, where $\G$ is an abelian group. Starting from a remarkable example of the classical algebra of quaternions and, more generally, an arbitrary Clifford algebra, we develop a general viewpoint on the subject. We
Anatol Odzijewicz +6 more
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Graded Clifford Algebras and Graded Skew Clifford Algebras and Their Role in the Classification of Artin–Schelter Regular Algebras [PDF]
Advances in Applied Clifford Algebras, 2017 This is a survey ...
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Classification of Lie algebras of specific type in complexified Clifford algebras [PDF]
Linear and Multilinear Algebra, 2017 18 pages, 1 ...
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