Classification of elements of Clifford algebras according to quaternionic types

DOI10.1134/S1064562409040401zbMath1183.15021MaRDI QIDQ845177

Dmitry Shirokov

Publication date: 5 February 2010

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

classificationClifford algebracommutatorsanticommutatorsquaternionic types

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Clifford algebras, spinors (15A66)

Related Items (10)

Свертки по рангам и кватернионным типам в алгебрах Клиффорда ⋮ Classification of Lie algebras of specific type in complexified Clifford algebras ⋮ Development of the method of quaternion typification of Clifford algebra elements ⋮ Quaternion typification of Clifford algebra elements ⋮ Symplectic, orthogonal and linear Lie groups in Clifford algebra ⋮ On computing the determinant, other characteristic polynomial coefficients, and inverse in Clifford algebras of arbitrary dimension ⋮ On some relations between spinor and orthogonal groups ⋮ On inner automorphisms preserving fixed subspaces of Clifford algebras ⋮ On generalization of Lipschitz groups and spin groups ⋮ Теорема о норме элементов спинорных групп

Cites Work

• Unitary spaces on Clifford algebras
• Unnamed Item

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