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Macaulay2 web site
WeylGroups
::
WeylGroupRightCoset
WeylGroupRightCoset -- the class of right cosets of Weyl groups by parabolic subgroups
Description
a coset W
P
w is represented by the list consisting of a parabolic subgroup
P
and the representative of minimal length
w
Methods that use an object of class WeylGroupRightCoset :
intervalBruhat(WeylGroupRightCoset,WeylGroupRightCoset)
-- elements between two given ones for the Bruhat order on a quotient of a Weyl group
minimalRepresentative(WeylGroupRightCoset)
-- the minimal representative of a coset
WeylGroupRightCoset % Parabolic
-- the double coset defined by a right coset
WeylGroupRightCoset * WeylGroupElement
-- apply an element of a Weyl group to a left coset
WeylGroupRightCoset == WeylGroupRightCoset
-- equality of right cosets
For the programmer
The object
WeylGroupRightCoset
is
a
type
, with ancestor classes
BasicList
<
Thing
.