κ-DEFORMED POINCARÉ ALGEBRAS AND QUANTUM CLIFFORD–HOPF ALGEBRAS

DOI10.1142/S0219887810004567zbMath1201.83026arXiv0801.4647WikidataQ62529183 ScholiaQ62529183MaRDI QIDQ3161611

Alex E. Bernardini, Jayme jun. Vaz, Roldão da Rocha

Publication date: 15 October 2010

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.4647

zbMATH Keywords

Hopf algebrasconformal maps\(\kappa \)-Poincaré algebraquantum Clifford algebrasAtiyah-Bott-Shapiro theoremWick isomorphism

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Quantum field theory on curved space or space-time backgrounds (81T20) Methods of quantum field theory in general relativity and gravitational theory (83C47) Special relativity (83A05) Clifford algebras, spinors (15A66) Lie algebras of linear algebraic groups (17B45) Hopf algebras and their applications (16T05)

Related Items (7)

On some novel consequences of Clifford space relativity theory ⋮ Clifford algebras, multipartite systems and gauge theory gravity ⋮ Bilinear covariants and spinor fields duality in quantum Clifford algebras ⋮ A two-parameter quantum \((2+1)\)-superspace and its deformed derivation algebra as Hopf superalgebra ⋮ On Clifford space relativity, black hole entropy, rainbow metrics, generalized dispersion and uncertainty relations ⋮ Double Hom-associative algebra and double Hom-Lie bialgebra ⋮ Novel physical consequences of the extended relativity in Clifford spaces

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