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

Autor:	Hanna Makaruk
Rok vydání:	1995
Předmět:	Classical group Algebra Theoretical physics Spin group Simple Lie group Adjoint representation Lie group Statistical and Nonlinear Physics Lie theory Representation theory Mathematical Physics Group theory Mathematics
Zdroj:	Reports on Mathematical Physics. 36:347-353
ISSN:	0034-4877
DOI:	10.1016/0034-4877(96)83630-5
Popis:	It is well-known that semi-simple Lie groups and their quantum group counterparts are distinguished by their special mathematical properties. These properties enable one to find exact solutions of this type in many field theories. This paper is devoted to some examples of these theories. Firstly, quantum group solutions of reformulated Slawianowski's Gl( n , R )-invariant theory [3,4] are presented. Secondly, a generalization of Polyakov-like theory is discussed. Next, the role of Lie-group solutions in tetrad theories with an arbitrary Lagrangian dependent only on torsion of teleparallelism connection is described. In conclusion, the role of Lie groups and quantum groups as useful tools for finding exact solutions is stressed.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ee6290ceece33acb9a580d039d0e4ee6 https://doi.org/10.1016/0034-4877(96)83630-5 Zobrazit plný text záznamu Full Text from ScienceDirect