Manchester Geometry Seminar
and
Manchester Algebra Seminar.
Special joint session


Monday, 21 May 2001. Room M12, Mathematics Tower, UMIST. 3 pm

Classical Invariant Theory for Matrix Lie Superalgebras

Alexander Sergeev
(Balakovo Institute for Technics, Technology and Control, and the Isaac Newton Institute)


sergeev@bittu.org.ru, sfmser01@newton.cam.ac.uk

Let V be a finite-dimensional superspace over complex numbers and g a simple matrix Lie superalgebra, i.e., a Lie subsuperalgebra of gl(V). By the classical invariant theory for g we mean the description of the g-invariants of the algebra A, where A is generated by the coordinates of (given) finite numbers of elements of V, V*, ΠV, ΠV*. (Π is the parity reversion functor.)

We give a description of the generators in the algebra of invariants and describe the relations between the invariants of scalar product type.


http://www.ma.umist.ac.uk/tv/seminar.html