/ktheory

tools for studying the k-theory ring of isotropic grassmannians

Primary LanguagePython

The program currently consists of the following modules:
schubert, grothendieck, mobius, flag, permutation_functions.

These modules are structured as follows:

-schubert.py defines the Grassmannian class
and the various methods and object variables associated to it.  
it requires permutation_functions.py.

-flag.py defines the Flag class
which represents a 2-step flag manifold, 
as well as the various methods and object variables associated to it.  
it also requires permutation_functions.py.

-grothendieck.py contains the necessary functions for calculating the product of
an arbitrary schubert class with a special schubert class.  most of the methods
take a Grassmannian object as one of the arguments.  currently this module
also contains functions for calculating equivariant Pieri coefficients in type B/C,
although these will be moved to their own module soon.

-mobius.py contains methods for investigating the combinatorics of
dual classes, and in particular constructs the dual class of an arbirtary schubert class
using only local information.  it depends on permutation_functions.py, and most of its
methods take a Grassmannian object as an argument.