Derivation based differential calculi for noncommutative algebras deforming a class of three dimensional spaces

Autor:	Giuseppe Marmo, Alessandro Zampini, Patrizia Vitale
Přispěvatelé:	Marmo, Giuseppe, Vitale, Patrizia, Zampini, Alessandro
Rok vydání:	2019
Předmět:	High Energy Physics - Theory Pure mathematics Class (set theory) Reduction (recursion theory) Lie algebra Four-dimensional space FOS: Physical sciences General Physics and Astronomy Type (model theory) 01 natural sciences Physics and Astronomy (all) Mathematics - Quantum Algebra 0103 physical sciences FOS: Mathematics Quantum Algebra (math.QA) Mathematical Physic 0101 mathematics Mathematical Physics Mathematics 010102 general mathematics Noncommutative geometry Differential calculus Mathematical Physics (math-ph) Differential calculi High Energy Physics - Theory (hep-th) 010307 mathematical physics Geometry and Topology Differential (mathematics)
Zdroj:	Journal of Geometry and Physics. 136:104-118
ISSN:	0393-0440
DOI:	10.1016/j.geomphys.2018.10.013
Popis:	We equip a family of algebras whose noncommutativity is of Lie type with a derivation based differential calculus obtained, upon suitably using both inner and outer derivations, as a reduction of a redundant calculus over the Moyal four dimensional space. Comment: 18 pages
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::973c95e5cb8408cc246e61fc6ef4f9e4 https://doi.org/10.1016/j.geomphys.2018.10.013 Zobrazit plný text záznamu Full Text from ScienceDirect