23,458 research outputs found
Invariant differential operators on a class of multiplicity free spaces
If is a multiplity free space with a one dimensional quotient we give
generators and relations for the non-commutative algebra of
invariant differential operators under the semi-simple part of the
reductive group . More precisely we show that is the quotient of
a Smith algebra by a completely described two-sided ideal.Comment: 31 page
The Freiheitssatz for Novikov algebras
We prove the Freiheitssatz for Novikov algebras in characteristic zero. It is
also proved that the variety of Novikov algebras is generated by a Novikov
algebra on the space of polynomials in a single variable over a
field with respect to the multiplication . It
follows that the base rank of the variety of Novikov algebras equals 1.Comment: 9 page
- …