… In fact, by our hypothesis and by (18.i), H is generated by a set 0ί of pseudo-reflections,
such that αΛ, is a regular principal ideal for each h' e 01. Let 9 be the set of all pseudo-reflections …

… In this note, we show that if V is a finite dimensional vector space equipped with a non-degenerate
bilinear form, and one has a set of pseudo-reflections on V, preserving the form and …

… The hypotheses of Theorem 5.7 are satisfied whenever χ = det M ⁎ , M G = 0 , and the
pseudo-reflections of G act by pseudo-reflections or the identity on M. In this case, the right-hand …

… pseudoreflection groups generated by n pseudo-reflections. Some n-dimensional com…
pseudo-reflections to generate them. For example, G(m, p, n) is generated by n pseudo-reflections …

… For a vector space V , a representation W → GlV of a finite group is called a pseudo reflection
group if it is faithful and if the image is generated by pseudo reflections, ie, by elements of …

… That is, G is a finite group of unitary matrices generated by pseudo-reflections, which are …
and equality holds if and only if G is generated by reflections (that is, order 2 pseudo-reflections)…

… Since G is generated by pseudo-reflections, by the Shephard-Todd Theorem [37] (see [7]
for a uniform proof in characteristic zero, and [39] for the case when char(K) is positive and co-…

… In this note, let R be a regular local ring with maximal ideal tn and let k be the residue field of
… Further we assume that G is generated by pseudo-reflections relative to the induced action …

… Let U be a vector space over the p-adic rationals, and let W --> Gl(U) be faithful representation
of a finite group such that W is generated by pseudo reflections. For odd primes we study …

… Henceforth we shall call a finite subgroup of GLjV) generated by pseudoreflections an
fggr Our object will be to descrije the modules RxG of relative invariants of an fggr G. As a …