.. -*- coding: utf-8 -*-
.. _lie:

=============================================
Lie Methods and Related Combinatorics in Sage
=============================================

.. MODULEAUTHOR:: Daniel Bump (Stanford University), Ben Salisbury (Central
   Michigan University), and Anne Schilling (UC Davis)

These notes explain how to use the mathematical software Sage for
Lie group computations. Sage also contains many combinatorial
algorithms. We will cover only some of these.

.. toctree::
   :maxdepth: 2

   lie/introduction
   lie/lie_basics
   lie/weyl_character_ring
   lie/branching_rules
   lie/weight_ring
   lie/weyl_groups
   lie/crystals
   lie/affine_finite_crystals
   lie/affine_hw_crystals
   lie/elementary_crystals
   lie/infinity_crystals
   lie/iwahori_hecke_algebra
   lie/kazhdan_lusztig_polynomials
   lie/bibliography

Preparation of this document was supported in part by NSF grants DMS-0652817,
DMS-1001079, OCI-1147463, DMS--0652641, DMS--0652652, DMS--1001256 and
and OCI–1147247.
