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Macaulay2 web site
WeylGroups
::
WeylGroupDoubleCoset
WeylGroupDoubleCoset -- the class of double cosets of Weyl groups by pairs of parabolic subgroups
Description
a coset W
P
wW
Q
is represented by the list consisting of parabolic subgroups
P
and
Q
, and the representative of minimal length
w
Methods that use an object of class WeylGroupDoubleCoset :
minimalRepresentative(WeylGroupDoubleCoset)
-- the minimal representative of a coset
parabolic(WeylGroupDoubleCoset)
-- the parabolic associated to a double coset
WeylGroupDoubleCoset == WeylGroupDoubleCoset
-- equality of double cosets
For the programmer
The object
WeylGroupDoubleCoset
is
a
type
, with ancestor classes
BasicList
<
Thing
.