Bruhat decomposition

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• Bruhat decomposition — In mathematics, the Bruhat decomposition G = BWB into cells can be regarded as a general expression of the principle of Gauss–Jordan elimination, which generically writes a matrix as a product of an upper triangular and lower triangular matrices… …   Wikipedia

• Bruhat order — In mathematics, the Bruhat order (also called strong order or strong Bruhat order or Chevalley order or Bruhat–Chevalley order or Chevalley–Bruhat order) is a partial order on the elements of a Coxeter group, that corresponds to the inclusion… …   Wikipedia

• François Bruhat — François Georges René Bruhat (8 April 1929 July 2007) was a French mathematician who worked on algebraic groups. The Bruhat order of a Weyl group and the Bruhat decomposition are named after him.References*MacTutor Biography|id=Bruhat …   Wikipedia

• Lie group decomposition — In mathematics, Lie group decompositions are used to analyse the structure of Lie groups and associated objects, by showing how they are built up out of subgroups. They are essential technical tools in the representation theory of Lie groups and… …   Wikipedia

• François Bruhat — Pour les articles homonymes, voir Bruhat. François Bruhat, né le 8 avril 1929 à Paris, décédé le 17 juillet 2007 à Paris, est un mathématicien français. Il est le fils du physicien Georges Bruhat, mort en déportation, et le frère de la… …   Wikipédia en Français

• Kazhdan–Lusztig polynomial — In representation theory, a Kazhdan–Lusztig polynomial P y,w ( q ) is a member of a family of integral polynomials introduced in work of David Kazhdan and George Lusztig Harv|Kazhdan|Lusztig|1979. They are indexed by pairs of elements y , w of a… …   Wikipedia

• Groupe de Weyl — En mathématiques, et en particulier dans la théorie des algèbres de Lie, le groupe de Weyl d un système de racines est le sous groupe du groupe d isométries du système de racines engendré par les réflexions orthogonales par rapport aux hyperplans …   Wikipédia en Français

• Building (mathematics) — In mathematics, a building (also Tits building, Bruhat–Tits building) is a combinatorial and geometric structure which simultaneously generalizes certain aspects of flag manifolds, finite projective planes, and Riemannian symmetric spaces.… …   Wikipedia

• Hecke algebra — is the common name of several related types of associative rings in algebra and representation theory. The most familiar of these is the Hecke algebra of a Coxeter group , also known as Iwahori Hecke algebra, which is a one parameter deformation… …   Wikipedia

• List of mathematics articles (B) — NOTOC B B spline B* algebra B* search algorithm B,C,K,W system BA model Ba space Babuška Lax Milgram theorem Baby Monster group Baby step giant step Babylonian mathematics Babylonian numerals Bach tensor Bach s algorithm Bachmann–Howard ordinal… …   Wikipedia

• Glossary of semisimple groups — This is a glossary for the terminology applied in the mathematical theories of semisimple Lie groups. It also covers terms related to their Lie algebras, their representation theory, and various geometric, algebraic and combinatorial structures… …   Wikipedia