automorphic set
51Fano plane — In finite geometry, the Fano plane (after Gino Fano) is the projective plane with the least number of points and lines: 7 each. GeometryPerhaps the best way to view the plane is via linear algebra. Using the standard construction via homogeneous… …
52Birch and Swinnerton-Dyer conjecture — Millennium Prize Problems P versus NP problem Hodge conjecture Poincaré conjecture Riemann hypo …
53Transcendental curve — In mathematics, a transcendental curve is a curve that is not an algebraic curve. Here for a curve C what matters is the point set (typically in the plane) underlying C , not a given parametrisation. For example the unit circle is an algebraic… …
54Hecke operator — In mathematics, in particular in the theory of modular forms, a Hecke operator, studied by Hecke (1937), is a certain kind of averaging operator that plays a significant role in the structure of vector spaces of modular forms and more… …
55Iwasawa decomposition — In mathematics, the Iwasawa decomposition KAN of a semisimple Lie group generalises the way a square real matrix can be written as a product of an orthogonal matrix and an upper triangular matrix (a consequence of Gram Schmidt orthogonalization) …
56Adelic algebraic group — In mathematics, an adelic algebraic group is a topological group defined by an algebraic group G over a number field K , and the adele ring A = A ( K ) of K . It consists of the points of G having values in A ; the definition of the appropriate… …
57List of Princeton University people — This is a table of notable people affiliated with Princeton University, including graduates of the undergraduate college and all graduate programs, former students, and former professors. Some noted current faculty are also listed in the main… …
58Class number formula — In number theory, the class number formula relates many important invariants of a number field to a special value of its Dedekind zeta function Contents 1 General statement of the class number formula 2 Galois extensions of the rationals 3 A …
59Bol loop — In mathematics, a Bol loop is an algebraic structure generalizing the notion of group. Specifically, a loop, L , is said to be a left Bol loop if it satisfies the identity:a(b(ac))=(a(ba))c, for every a , b , c in L ,while L is said to be a right …
60Classical modular curve — In number theory, the classical modular curve is an irreducible plane algebraic curve given by an equation Φn(x, y)=0, where for the j invariant j(τ), x=j(n τ), y=j(τ) is a point on the curve. The curve is sometimes called X0(n), though often… …
