29 March 2000.

Per Jacobsen "Quantization of algebras without unit".

Many naturally occuring algebras and coalgebras do not contain units or counits. This problem can be solved by the simple algebraic process of adding a unit or counit. The procedure is however not so simple from the geometric point of view. Usually it will correspond to some sort of compactification of the spectrum of the algebra or coalgebra. We will investigate a class of algebraic structures that include algebras with unit and coalgebras with counit as special cases. From a categorical point of view these structures appear as very natural generalizations of the notion of algebra and coalgebra as it is know from classical algebra.We will also develope a theory of quantization for these algebraic structures.