ISSN:
1432-1785
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Let k be a commutative ring, G′⊃G finite affine algebraic k-groups, and H′⊃H the dual Hopfalgebras of the affine algebras of G′ resp. G. The main results of this paper are: (I) If k is semilocal (e.g. k a field) there is an H′-linear, H∥H′-colinear, unitary, augmented isomorphism H→H∥H′◯ H′, where H∥H′ is the coalgebra belonging to G/G′. (II) If the k-submodule of the fixelements of (H∥H′)* is isomorphic to k (e.g. k principal or semilocal), then H′⊃H is a Frobeniusextension of the second kind.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01297688