Faster access than browser!
9 relations: Cambridge University Press, Chevalley–Shephard–Todd theorem, Complex polytope, Complex reflection group, J. A. Todd, Net (polyhedron), Queens' College, Cambridge, Shephard's problem, University of East Anglia.
Cambridge University Press
Cambridge University Press (CUP) is the publishing business of the University of Cambridge.
New!!: Geoffrey Colin Shephard and Cambridge University Press · See more »
Chevalley–Shephard–Todd theorem
In mathematics, the Chevalley–Shephard–Todd theorem in invariant theory of finite groups states that the ring of invariants of a finite group acting on a complex vector space is a polynomial ring if and only if the group is generated by pseudoreflections.
New!!: Geoffrey Colin Shephard and Chevalley–Shephard–Todd theorem · See more »
Complex polytope
In geometry, a complex polytope is a generalization of a polytope in real space to an analogous structure in a complex Hilbert space, where each real dimension is accompanied by an imaginary one.
New!!: Geoffrey Colin Shephard and Complex polytope · See more »
Complex reflection group
In mathematics, a complex reflection group is a finite group acting on a finite-dimensional complex vector space that is generated by complex reflections: non-trivial elements that fix a complex hyperplane pointwise.
New!!: Geoffrey Colin Shephard and Complex reflection group · See more »
J. A. Todd
John Arthur Todd FRS (23 August 1908 – 22 December 1994) was a British geometer.
New!!: Geoffrey Colin Shephard and J. A. Todd · See more »
Net (polyhedron)
In geometry a net of a polyhedron is an arrangement of edge-joined polygons in the plane which can be folded (along edges) to become the faces of the polyhedron.
New!!: Geoffrey Colin Shephard and Net (polyhedron) · See more »
Queens' College, Cambridge
Queens' College is a constituent college of the University of Cambridge, England.
New!!: Geoffrey Colin Shephard and Queens' College, Cambridge · See more »
Shephard's problem
In mathematics, Shephard's problem, is the following geometrical question asked by: if K and L are centrally symmetric convex bodies in n-dimensional Euclidean space such that whenever K and L are projected onto a hyperplane, the volume of the projection of K is smaller than the volume of the projection of L, then does it follow that the volume of K is smaller than that of L? In this case, "centrally symmetric" means that the reflection of K in the origin, −K, is a translate of K, and similarly for L. If πk: Rn → Πk is a projection of Rn onto some k-dimensional hyperplane Πk (not necessarily a coordinate hyperplane) and Vk denotes k-dimensional volume, Shephard's problem is to determine the truth or falsity of the implication Vk(πk(K)) is sometimes known as the brightness of K and the function Vk o πk as a (k-dimensional) brightness function.
New!!: Geoffrey Colin Shephard and Shephard's problem · See more »
University of East Anglia
The University of East Anglia (abbreviated as UEA) is a public research university in Norwich, England.
New!!: Geoffrey Colin Shephard and University of East Anglia · See more »
Redirects here:
G. C. Shephard, G.C. Shephard, Geoffrey C. Shephard, Geoffrey Shephard.
