SYMF::SfOmega
--
applies the Omega-automorphism
SYMF::SfOmega(sf)
sf | - | any symmetric function |
The SYMF::SfOmega
function applies the omega-automorphism to the symmetric
function sf
.
This involution is defined as:
h[i] ->> e[i]
,
e[i] ->> h[i]
,
p[i] ->> (-1)^(i-1) p[i]
.In terms of Schur functions, the involution conjugates the indexing partition.
>> muEC::SYMF::SfOmega( h[3] );
e[3]
>> muEC::SYMF::SfOmega( p[4] );
-p[4]
MuPAD Combinat, an open source algebraic combinatorics package