- In mathematics, the
Koszul complex was
first introduced to
define a
cohomology theory for Lie algebras, by Jean-Louis
Koszul (see Lie
algebra cohomology)...
- In mathematics,
Koszul duality,
named after the
French mathematician Jean-Louis
Koszul, is any of
various kinds of
dualities found in
representation theory...
- In mathematics, the
Koszul cohomology groups K p , q ( X , L ) {\displaystyle K_{p,q}(X,L)} are
groups ****ociated to a
projective variety X with a line...
- In
abstract algebra, a
Koszul algebra R {\displaystyle R} is a
graded k {\displaystyle k} -algebra over
which the
ground field k {\displaystyle k} has...
- days
after his 97th birthday.
Koszul algebra Koszul complex Koszul duality Koszul cohomology Koszul connection Koszul–Tate
resolution Lie
algebra cohomology...
-
connections are also
called Koszul connections after Jean-Louis
Koszul, who gave an
algebraic framework for
describing them (
Koszul 1950). This
article defines...
- In mathematics, a
Koszul–Tate
resolution or
Koszul–Tate
complex of the
quotient ring R/M is a
projective resolution of it as an R-module
which also has...
-
Koszul (
Koszul 1950) gave an
algebraic framework for
regarding a
connection as a
differential operator by
means of the
Koszul connection. The
Koszul connection...
- nth
syzygy module is free, but not the (n − 1)th one (for a proof, see §
Koszul complex, below). The
theorem is also true for
modules that are not finitely...
- may be
explicitly defined by
either the
second Christoffel identity or
Koszul formula as
obtained in the
proofs below. This
explicit definition expresses...
