A classification of Lie algebras of pseudo-unitary groups in the techniques of Clifford algebras

DOI10.1007/s00006-009-0177-0zbMath1254.17018arXiv0705.3368OpenAlexW2065421343WikidataQ115390496 ScholiaQ115390496MaRDI QIDQ5962203

Dmitry Shirokov

Publication date: 21 September 2010

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.3368

Mathematics Subject Classification ID

Clifford algebras, spinors (15A66) Lie algebras of linear algebraic groups (17B45)

Related Items (9)

Self-adjoint elements in the pseudo-unitary group \(\mathbf{U}(p, p)\) ⋮ 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 ⋮ On a field equation generating a new class of particular solutions to the Yang-Mills equations ⋮ Symplectic, orthogonal and linear Lie groups in Clifford algebra ⋮ General solutions of one class of field equations ⋮ On computing the determinant, other characteristic polynomial coefficients, and inverse in Clifford algebras of arbitrary dimension ⋮ Basis-free formulas for characteristic polynomial coefficients in geometric algebras

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