pmToWeyl -- convert a PieriMaps row-form tableau to a SchurFunctors WeylFilling

Usage:

pmToWeyl T
Inputs:
- T, a list, a PieriMaps row-form tableau
Outputs:
- WeylFilling with the same row-data (a SchurFunctors basis element of $K_\lambda V$)

Description

PM tableaux and WeylFillings have the same data layout (rows weakly increasing). This is purely a relabel: pmToWeyl wraps a list of rows as a WeylFilling (interpreting it as a basis element of the divided-power module $K_\lambda V$), and weylToPM unwraps. The conversion is reversible.Requires the updated SchurFunctors package that exports weyl and WeylFilling.

i1 : needsPackage "SchurFunctors";

i2 : pmToWeyl {{0,1},{2}}

     +-+-+
o2 = |0|1|
     |2| |
     +-+-+

o2 : WeylFilling

i3 : weylToPM pmToWeyl {{0,1},{2}}

o3 = {{0, 1}, {2}}

o3 : List

For the programmer

The object pmToWeyl is a function closure.

The source of this document is in PieriMaps/doc.m2:749:0.

pmToWeyl -- convert a PieriMaps row-form tableau to a SchurFunctors WeylFilling

Description

See also

For the programmer