reductive subgroup
41Levi decomposition — In Lie theory and representation theory, the Levi decomposition, discovered by Eugenio Elia Levi (1906), states that any finite dimensional real Lie algebra g is (as a vector space) the direct sum of two significant structural parts; namely,… …
42Kloosterman sum — In mathematics, a Kloosterman sum is a particular kind of exponential sum. Let a , b , m be natural numbers. Then :K(a,b;m)=sum {0leq xleq m 1, gcd(x,m)=1 } e^{2pi i (ax+bx^*)/m},Here x* is the inverse of x modulo m . They are named for the Dutch …
43Harish-Chandra class — In mathematics, Harish Chandra s class is a class of Lie groups used in representation theory. Harish Chandra s class contains all semisimple connected linear Lie groups and is closed under natural operations, most importantly, the passage to… …
44Character variety — In the mathematics of moduli theory, given an algebraic, reductive, Lie group G and a finitely generated group π, the G character variety of π is a space of equivalence classes of group homomorphisms More precisely, G acts on by conjugation and… …
45Geometry — (Greek γεωμετρία ; geo = earth, metria = measure) is a part of mathematics concerned with questions of size, shape, and relative position of figures and with properties of space. Geometry is one of the oldest sciences. Initially a body of… …
46Roger Wolcott Richardson — (30 May 1930 ndash; 15 June 1993) was a mathematician noted for his work in representation theory and geometry. He was born in Baton Rouge, Louisiana, and educated at Louisiana State University, Harvard University and University of Michigan, Ann… …
47Programme de Langlands — Pour les articles homonymes, voir Langlands. En mathématiques, le programme de Langlands est encore, au début du XXIe siècle, un domaine de recherche actif et fertile en conjectures. Ce programme souhaite relier la théorie des nombres aux… …
48Alvis–Curtis duality — In mathematics, Alvis–Curtis duality is a duality operation on the characters of a reductive group over a finite field, introduced by Charles W. Curtis (1980) and studied by his student Dean Alvis (1979). Kawanaka (1981, 1982)… …
49Outline of algebraic structures — In universal algebra, a branch of pure mathematics, an algebraic structure is a variety or quasivariety. Abstract algebra is primarily the study of algebraic structures and their properties. Some axiomatic formal systems that are neither… …
