The topic of this book, graded algebra, has developed in the past decade to a vast subject
with new applications in noncommutative geometry and physics. Classical aspects relating …

“Clifford theory” primarily is concerned with the representations of normal subgroups and
quotient groups of (finite) groups, the basic contributions being due to AH Clifford [1] …

Let H be a Hopf algebra over a commutative ring k, projective as a k-module, A a right H-
comodule algebra and B= A''(~'its subalgebra of coinvariant elemlents. Assume that A/B is a …

Let G ˆ be a finite group, N a normal subgroup of G ˆ and ϑ∈ Irr N. Let F be a subfield of the
complex numbers and assume that the Galois orbit of ϑ over F is invariant in G ˆ. We show …

GW Mackey's celebrated obstruction theory for projective representations of locally compact
groups was remarkably generalized by JMG Fell and RS Doran to the wide area of saturated …

We explore the integration of representations from a Lie algebra to its algebraic group in
positive characteristic. An integrable module is stable under the twists by group elements …

To a strongly 𝐺-graded algebra 𝐴 with 1-component 𝐵, we associate the group Picent
gr⁢(A) of isomorphism classes of invertible 𝐺-graded (A, A)-bimodules over the centralizer …

We use the concept of static module to obtain the direct (non-stable) Clifford
correspondence for strongly graded rings in the case of simple and of indecomposable …

Let H be a normal subgroup of some finite group G and let V be an irreducible (right) FH-
module, where F is an arbitrary field. It is one of the primary objectives of Clifford theory to …

On picard groups and graded rings Page 1 COMMUNlCATIONS IN ALGEBRA, 26(7), 221 1-2219
(1998) ON PICARD GROUPS AND GRADED RINGS Andrei Marcus "Babes-Bolyai" University …