unitary group
101Spinor — In mathematics and physics, in particular in the theory of the orthogonal groups (such as the rotation or the Lorentz groups), spinors are elements of a complex vector space introduced to expand the notion of spatial vector. Unlike tensors, the… …
102Circular ensemble — In the theory of random matrices, the circular ensembles are measures on spaces of unitary matrices introduced by Freeman Dyson as modifications of the Gaussian matrix ensembles. The three main examples are the orthogonal circular ensemble (COE)… …
103Borel–Weil theorem — In mathematics in the field of representation theory of compact Lie groups, the Borel–Weil theorem provides a concrete model for the irreducible representations as holomorphic sections of certain complex line bundles. It can be considered as a… …
104María Wonenburger — Nacimiento 17 de julio de 1927 (84 años) Montrove, Oleiros Residencia España, EE.UU …
105Classifying space for U(n) — In mathematics, the classifying space for the unitary group U(n) is a space B(U(n)) together with a universal bundle E(U(n)) such that any hermitian bundle on a paracompact space X is the pull back of E by a map X → B unique up to homotopy. This… …
106Lagrangian Grassmannian — In mathematics, the Lagrangian Grassmannian is the smooth manifold of Lagrangian subspaces of a real symplectic vector space V. Its dimension is n(n+1)/2 (where the dimension of V is 2n). It may be identified with the homogeneous space U(n)/O(n)… …
107Spinors in three dimensions — In mathematics, the spinor concept as specialised to three dimensions can be treated by means of the traditional notions of dot product and cross product. This is part of the detailed algebraic discussion of the rotation group… …
108Lawrence–Krammer representation — In mathematics the Lawrence–Krammer representation is a representation of the braid groups. It fits into a family of representations called the Lawrence representations. The 1st Lawrence representation is the Burau representation and the 2nd is… …
109Classification of Clifford algebras — In mathematics, in particular in the theory of nondegenerate quadratic forms on real and complex vector spaces, the finite dimensional Clifford algebras have been completely classified in terms of isomorphisms that preserve the Clifford product.… …
110Unitarian trick — In mathematics, the unitarian trick (occasionally unitary trick) is a device in the representation theory of Lie groups, introduced by Hermann Weyl. It applies to show that the representation theory of some group G is in a qualitative way… …
