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Graded morphisms of G -modules

Hanspeter Kraft, Claudio Procesi (1987)

Annales de l'institut Fourier

Let A be finite dimensional C -algebra which is a complete intersection, i.e. A = C [ X 1 , ... , X n ] / ( f 1 , ... , f n ) whith a regular sequences f 1 , ... , f n . Steve Halperin conjectured that the connected component of the automorphism group of such an algebra A is solvable. We prove this in case A is in addition graded and generated by elements of degree 1.

Gröbner δ-bases and Gröbner bases for differential operators

Francisco J. Castro-Jiménez, M. Angeles Moreno-Frías (2002)

Banach Center Publications

This paper deals with the notion of Gröbner δ-base for some rings of linear differential operators by adapting the works of W. Trinks, A. Assi, M. Insa and F. Pauer. We compare this notion with the one of Gröbner base for such rings. As an application we give some results on finiteness and on flatness of finitely generated left modules over these rings.

Grothendieck ring of quantum double of finite groups

Jingcheng Dong (2010)

Czechoslovak Mathematical Journal

Let k G be a group algebra, and D ( k G ) its quantum double. We first prove that the structure of the Grothendieck ring of D ( k G ) can be induced from the Grothendieck ring of centralizers of representatives of conjugate classes of G . As a special case, we then give an application to the group algebra k D n , where k is a field of characteristic 2 and D n is a dihedral group of order 2 n .

Currently displaying 61 – 80 of 90