3 papers
math.RA1999
Cotensor products of modules
Lowell Abrams, Charles Weibel
Let C be a coalgebra over a field k and A its dual algebra. The category of C-comodules is equivalent to a category of A-modules. We use this to interpret the cotensor product M \s…
math.RA1998
Modules, comodules and cotensor products over Frobenius algebras
Lowell Abrams
We characterize noncommutative Frobenius algebras A in terms of the existence of a coproduct which is a map of left A^e-modules. We show that the category of right (left) comodules…
q-alg1997
The quantum Euler class and the quantum cohomology of the Grassmannians
Lowell Abrams
The Poincare duality of classical cohomology and the extension of this duality to quantum cohomology endows these rings with the structure of a Frobenius algebra. Any such algebra…