=ADD=
=reftype=
14
=number=
98-07
=url=
ftp://ftp.risc.uni-linz.ac.at/pub/techreports/1998/98-07.ps.gz
=year=
1998
=month=
05
=author=
Bayer; Thomas
=title=
Computing the Intersection of Invariant Rings
=abstract=
We propose an algorithm for computing the intersection of invariant rings 
$R^{G_{1}}$ and $R^{G_{2}}$ of finite groups $G_{1},G_{2}\leq GL_{n}({\bf K})$, given in terms of algebra generators.
The algorithm works in the case that the characteristic of ${\bf K}$ is either $0$ or prime to the order of the group generated by $G_{1}$ and $G_{2}$, and calculates an algebra basis
for the intersection $R^{G_{1}}\cap R^{G_{2}}$.
=keywords=
invariant theory, computer algebra, intersection of subalgebras
=howpublished=
submitted to JSC
=sponsor=