Reduction theory for a rational function field
نویسندگان
چکیده
منابع مشابه
Reduction theory for a rational function field
Let G be a split reductive group over a finite field Fq. Let F = Fq(t) and let A denote the adèles of F . We show that every double coset in G(F)\G(A)/K has a representative in a maximal split torus of G. Here K is the set of integral adèlic points of G. When G ranges over general linear groups this is equivalent to the assertion that any algebraic vector bundle over the projective line is isom...
متن کاملRational Symplectic Field Theory for Legendrian Knots
We construct a combinatorial invariant of Legendrian knots in standard contact three-space. This invariant, which encodes rational relative Symplectic Field Theory and extends contact homology, counts holomorphic disks with an arbitrary number of positive punctures. The construction uses ideas from string topology.
متن کاملRational Choice Theory: A Cultural Reconsideration
Economists have heralded the formulation of the expected utility theorem as a universal method of choice under uncertainty. In their seminal paper, Stigler and Becker (Stigler & Becker, 1977) declared that “human behavior can be explained by a generalized calculus of utility-maximizing behavior” (p.76). The universality of the rational choice theory has been widely criticized by psychologists, ...
متن کاملCongruence Subgroups and Rational Conformal Field Theory
We address here the question of whether the characters of an RCFT are modular functions for some level N , i.e. whether the representation of the modular group SL2(Z) coming from any RCFT is trivial on some congruence subgroup. We prove that if the matrix T , associated to (
متن کاملRational Choice Theory: An Overview
It seems easy to accept that rationality involves many features that cannot be summarized in terms of some straightforward formula, such as binary consistency. However, this recognition does not immediately lead to alternative characterizations that might be regarded as satisfactory, even though the inadequacies of the traditional assumptions of rational behavior standard used in economic theo...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings Mathematical Sciences
سال: 2003
ISSN: 0253-4142,0973-7685
DOI: 10.1007/bf02829764