Title of article :
Integration on Lie supergroups: A Hopf superalgebra approach
Author/Authors :
M. Scheunert، نويسنده , , R.B. Zhang، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2005
Abstract :
Let be a finite-dimensional complex Lie superalgebra such that is reductive and the adjoint representation of in is completely reducible. A Lie supergroup associated to is defined by fixing the Hopf superalgebra of regular functions on the supergroup. Then it is shown that on this Hopf superalgebra there exists a non-zero left integral. According to an earlier work by the authors, this integral is unique up to scalar multiples.
Journal title :
Journal of Algebra
Journal title :
Journal of Algebra