Weyl group

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• Weyl group — In mathematics, in particular the theory of Lie algebras, the Weyl group of a root system Phi; is a subgroup of the isometry group of the root system. Specifically, it is the subgroup which is generated by reflections through the hyperplanes… …   Wikipedia

• Weyl character formula — In mathematics, the Weyl character formula in representation theory describes the characters of irreducible representations of compact Lie groups in terms of their highest weights. It is named after Hermann Weyl, who proved it in the late… …   Wikipedia

• WEYL, MEIR BEN SIMḤAH — (1744–1826), German rabbi. Weyl was born in lissa and studied under Ẓevi Hirsch of Janow. He arrived in Berlin in 1783 and was soon elected head of the bet midrash and dayyan. After Hirschel Levin s death (1800) the reform minded community… …   Encyclopedia of Judaism

• Weyl quantization — In mathematics and physics, in the area of quantum mechanics, Weyl quantization is a method for systematically associating a quantum mechanical Hermitian operator with a classical kernel function in phase space invertibly. A synonym is phase… …   Wikipedia

• Weyl , Hermann — (1885–1955) German mathematician Born at Elmshorn in Germany, Weyl studied at Göttingen, where he was one of David Hilbert s most oustanding students. He became a coworker of Hilbert, who influenced his particular interests and his general… …   Scientists

• Weyl tensor — In differential geometry, the Weyl curvature tensor, named after Hermann Weyl, is a measure of the curvature of spacetime or, more generally, a pseudo Riemannian manifold. Like the Riemann curvature tensor, the Weyl tensor expresses the tidal… …   Wikipedia

• Weyl-Brauer matrices — In mathematics, particularly in the theory of spinors, the Weyl Brauer matrices are an explicit realization of a Clifford algebra as a matrix algebra. They generalize to n dimensions the Pauli matrices. They are named for Richard Brauer and… …   Wikipedia

• Weyl, Hermann — ▪ German American mathematician born November 9, 1885, Elmshorn, near Hamburg, Germany died December 8, 1955, Zürich, Switzerland       German American mathematician who, through his widely varied contributions in mathematics, served as a link… …   Universalium

• Group (mathematics) — This article covers basic notions. For advanced topics, see Group theory. The possible manipulations of this Rubik s Cube form a group. In mathematics, a group is an algebraic structure consisting of a set together with an operation that combines …   Wikipedia

• Weyl algebra — In abstract algebra, the Weyl algebra is the ring of differential operators with polynomial coefficients (in one variable),: f n(X) partial X^n + cdots + f 1(X) partial X + f 0(X).More precisely, let F be a field, and let F [ X ] be the ring of… …   Wikipedia

• Weyl's theorem — In mathematics, Weyl s theorem or Weyl s lemma might refer to one of a number of results of Hermann Weyl. These include* the Peter–Weyl theorem * results derived from the unitarian trick on representation theory of semisimple groups and… …   Wikipedia