Algebraic Structures Associated to Group Actions and Sums of Hermitian MatricesDepartamento de Matemática da Universidade de Coimbra, 2001 - Group actions (Mathematics) - 32 pages |
Contents
Introduction | 1 |
Particle descriptions of finite commutative hypergroups | 3 |
Precise Definitions | 5 |
11 other sections not shown
Common terms and phrases
1-cosets acts on G adjoint orbits algebra structure C₁ C₂ character hypergroup CiCj class hypergroup co-adjoint orbits collision commutative signed hypergroup conjugacy classes Convolution of spheres convolving spheres defined denote dimension function distance regular distance transitive dual vector space duality elements Example finite abelian group finite commutative hypergroups finite group Fourier transform function on G fusion rule algebra G-invariant probability measure group G H orbits H right-invariant h₁ h₂ Hermitian matrices homogeneous space hypergroup K(G hypergroup of G hypergroup structure Hypergroups of order left-invariant Let G Let K(G locally compact Matemática moment map multi-set of G Note orbits of G orthogonal particle Platonic solid possible sets probability measure r₁ r₂ regular graphs right-invariant 1-set sets of eigenvalues skew Hermitian structure constants structure equations SU(n symplectic geometry Theorem vector space Weyl's problem Wildberger Χι Χο Χρ