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Since
is invertible,
defines an inclusion
,
satisfying the relations
and
,
by definition of
.
This implies
,
, and the image

of
is the generalized -eigenspace of
. Moreover,
is
bijective, and
is
bijective for
.
The * V-filtration* on
is defined by
and
are free
-modules of rank
with
.

*Christoph Lossen*

*2001-03-21*