- In mathematics, the
adele ring of a
global field (also
adelic ring, ring of
adeles or ring of adèles) is a
central object of
class field theory, a branch...
- In
abstract algebra, an
adelic algebraic group is a
semitopological group defined by an
algebraic group G over a
number field K, and the
adele ring A =...
-
extension of the
theory of
modular forms. More generally, one can use the
adelic approach as a way of
dealing with the
whole family of
congruence subgroups...
-
higher local and
adelic objects. He
pioneered the
study of zeta
functions in
higher dimensions by
developing his
theory of
higher adelic zeta integrals...
- ISSN 0040-5779. S2CID 119936152. Freund,
Peter G.O.; Witten,
Edward (1987). "
Adelic string amplitudes".
Physics Letters B. 199 (2): 191–194. Bibcode:1987PhLB...
- Landmine) - Zero Landmine". davidsylvian.net.
Retrieved January 20, 2016. "
Adelic Penguins, Kit Fitzgerald".
Electronic Arts Intermix.
Archived from the original...
- then the
group G = G ( A ) {\displaystyle G=\mathrm {G} (\mathbb {A} )} of
adélic points is well-defined (modulo some technicalities) and it is a locally...
-
express reciprocity laws
using cohomology of
groups or
representations of
adelic groups or
algebraic K-groups, and
their relationship with the
original quadratic...
-
conjecture on
Tamagawa numbers proved resistant for many years.
Eventually the
adelic approach became basic in
automorphic representation theory. He
picked up...
- with
respect to the
induced quotient measure. The
Tamagawa measure on the
adelic algebraic group G(A) is now
defined as follows. Take a left-invariant n-form...