Classification of kinematical Lie algebras
Jos\'e Figueroa-O'Farrill
TL;DR
This paper provides a comprehensive classification of kinematical Lie algebras across various dimensions and identifies those with invariant inner products, enhancing understanding of their algebraic structures.
Contribution
It offers a systematic classification of kinematical Lie algebras in any dimension and determines which possess invariant inner products, filling gaps in the existing literature.
Findings
Complete classification of kinematical Lie algebras in arbitrary dimensions
Identification of algebras admitting invariant inner products
Clarification of algebraic structures relevant to physics
Abstract
We summarise the classification of kinematical Lie algebras in arbitrary dimension and indicate which of the kinematical Lie algebras admit an invariant inner product.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Sphingolipid Metabolism and Signaling