 05403 Gerard P. BARBANSON
 WHITNEY REGULARITY OF THE IMAGE OF THE CHEVALLEY MAP.
(234K, .pdf)
Nov 25, 05

Abstract ,
Paper (src),
View paper
(auto. generated pdf),
Index
of related papers

Abstract. A closed set F is Whitney 1regular if for all compact K in F, there exists a C>0 such that any two points x and x' in K can be joined by a path of length L less or equal to Cxx'. In this note we prove the Whitney regularity of the image of the Chevalley map defined by an integrity basis of the subalgebra of polynomials invariant by a finite orthogonal reflection group. The proof relies upon a Glaeser characterization of Whitney regular sets and a version of a Lojasiewicz extension theorem adjusted to rregular jets of order m larger than r.
 Files:
05403.src(
05403.keywords ,
shortWreg.pdf.mm )