Results 1 to 10 of about 9,790 (86)
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
Dmitry Shirokov
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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 ...
Padmini Veerapen
+8 more sources
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.
Н. Г. Марчук
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Classification of Lie algebras of specific type in complexified Clifford algebras [PDF]
Linear and Multilinear Algebra, 2017 18 pages, 1 ...
D. S. Shirokov
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Classification of 7-dimensional subalgebras of 8-dimensional Clifford algebra [PDF]
, 2018 All 7-dimensional subalgebras of the 8-dimensional Clifford algebra over the field C of complex numbers are found. Canonical bases are used throughout the determination. It is found that the 8-dimensional Clifford algebra over C has exactly eight 7-dimensional subalgebras and each of these eight is over the complex numbers.
Uladzimir Shtukar
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A classification of inner actions of the Dipper-Donkin quantization GL_2 on the Clifford algebra C(1,3) [PDF]
, 1998 We present all inner actions on the Clifford algebra C(1,3) of the quantum group GL_2 constructed by Dipper and Donkin.
Suemi Rodrı́guez-Romo
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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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