Differential operators on homogeneous spaces. II : relative enveloping algebras

It is known in general (and clear in our case) that i\0y has as its unique simple quotient the socle of i^Oy. Passing to global sections we see that r(%»0y) is generated by

A main consequence of our result on Verma module annihilators is the quantum version of Duflo's theorem (6.4) and the more precise equivalence (5.12) between the highest weight

We characterize prelie algebras in words of left ideals of the enveloping algebras and in words of modules, and use this result to prove that a simple complex finite-dimensional

For any unital ring R , the category Ch + (R) of non-negatively graded chain complexes of left R -modules is a nitely ( and thus a cobrantly ) generated model category ( in the sense

We define an internal product operation in set and with the natural addition and the product with the real scalars we obtain a commutative algebra for the

Point (ii) of the theorem shows that, while tensor prod- ucts of Weyl superalgebras and polynomial superalgebras were sufficient to describe the superalgebra structure on the

It turns out that the Lie antialgebras asl 2 and AK(1) are particular cases of Jordan superalgebras, known as tiny Kaplansky superalgebra K 3 and full derivation

The present paper is devoted to the case where Q is replaced by ∆ 0 , the fundamental relative invariant of an irreducible regular prehomogeneous vector space of commutative