Semiinvariants of Finite Reflection Groups

Details Semiinvariants of Finite Reflection Groups Semiinvariants of Finite Reflection Groups

1998-11-09

arxiv.org/abs/math/9811051v2

J. Algebra 220, 314-326 (1999).

Mathematics

Rings and Algebras

Paper presented at 1999 Joint Meetings in San Antonio, special session on Geometry in Dynamics. Typo corrected

Scientific paper

Let G be a finite group of complex n by n unitary matrices generated by reflections acting on C^n. Let R be the ring of invariant polynomials, and \chi be a multiplicative character of G. Let \Omega^\chi be the R-module of \chi-invariant differential forms. We define a multiplication in \Omega^\chi and show that under this multiplication \Omega^\chi has an exterior algebra structure. We also show how to extend the results to vector fields, and exhibit a relationship between \chi-invariant forms and logarithmic forms.

Affiliated with

Also associated with

No associations

Rating

Semiinvariants of Finite Reflection Groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Semiinvariants of Finite Reflection Groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Semiinvariants of Finite Reflection Groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-711624