Representation Theory of Algebraic Groups - Haboush's Theorem, Reductive Group, Lie-Kolchin Theorem, Cuspidal Representation (Paperback)

Chapters: Haboush's theorem, Reductive group, Lie-Kolchin theorem, Cuspidal representation, Steinberg representation, Observable subgroup, Rational representation, Grosshans subgroup, . Source: Wikipedia. Pages: 28. Not illustrated. Free updates online. Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Excerpt: In mathematics Haboush's theorem, often still referred to as the Mumford conjecture, states that for any semisimple algebraic group G over a field K, and for any linear representation of G on a K-vector space V, given v 0 in V that is fixed by the action of G, there is a G-invariant polynomial F on V such that F(v) 0.The polynomial can be taken to be homogeneous, in other words an element of a symmetric power of the dual of V, and if the characteristic is p