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Continuous Groups with Antilinear Operations

174   0   0.0 ( 0 )
 Added by Jerzy Kocinski
 Publication date 2009
  fields Physics
and research's language is English




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Continuous groups of the form: $G+a_0G$ are defined, where $G$ denotes a Lie group and $a_0$ denotes an antilinear operation which fullfils the condition $a^2_0=pm 1$. The matrix algebras connected with the groups $G+a_0G$ are defined. The structural constants of these algebras fulfill the conditions following from the Jacobi identities.



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175 - J. Kocinski , M. Wierzbicki 2013
Continuous groups with antilinear operations of the form $G+a_0G$, where $G$ denotes a linear Lie group, and $a_0$ is an antilinear operation which fulfills the condition $a^2_0=pm 1$, were defined and their matrix algebras were investigated in cite{Kocinski4}. In this paper infinitesimal-operator algebras are defined for any group of the form $G+a_0G$, and their properties are determined.
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159 - Brian C. Hall 2008
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