Generalizations of the quaternion algebra and Lie algebras

DOI10.1063/1.528045zbMath0652.17016OpenAlexW2067983052WikidataQ115331985 ScholiaQ115331985MaRDI QIDQ3797357

Jerzy F. Plebański, Maciej Przanowski

Publication date: 1988

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/569423f9ed79bde1e00d18b7f4fec4b90cdfe55d

zbMATH Keywords

quaternion algebralocal Lie groupsquaternion-like algebrasql-algebras

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Lie algebras of Lie groups (22E60) General properties and structure of real Lie groups (22E15) Solvable, nilpotent (super)algebras (17B30) Local Lie groups (22E05)

Related Items (6)

Generalized elliptical quaternions with some applications ⋮ Quadratic alternative algebras ⋮ Real non-degenerate two-step nilpotent Lie algebras of dimension eight ⋮ Notes on a cross product of vectors ⋮ On linear unitary transformations of two canonical variables ⋮ The metric of a space and quadratic algebras

Cites Work

• A class of homogeneous cosmological models
• Cross Products of Vectors in Higher Dimensional Euclidean Spaces
• Invariants of real low dimension Lie algebras
• Subalgebras of real three- and four-dimensional Lie algebras

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