Lie groups and quantum groups applied as a tool in finding solutions in some field theories

DOI10.1016/0034-4877(96)83630-5zbMath0882.17026OpenAlexW2089818166WikidataQ115364193 ScholiaQ115364193MaRDI QIDQ1372485

Hanna Makaruk

Publication date: 2 March 1998

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(96)83630-5

zbMATH Keywords

quantum groupsfield theoriessemi-simple Lie groups

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Applications of Lie (super)algebras to physics, etc. (17B81) Quantum field theory; related classical field theories (81T99)

Cites Work

• Compact matrix pseudogroups
• Field of linear frames as a fundamental self-interacting system
• Lie-algebraic solutions of affinely-invariant equations for the field of linear frames
• Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
• Real Lie algebras of dimension \(d\leq 4\) which fulfil the Einstein equations

This page was built for publication: Lie groups and quantum groups applied as a tool in finding solutions in some field theories