# Software

## Formal root polynomials in hyperbolic Schubert calculus

This Maple package checks the type G_2 Yang-Baxter relation for the elements h_i^Y(lambda) in Definition 3.1 of the paper "Towards generalized cohomology Schubert calculus via formal root polynomials" with my coauthor, K. Zainoulline.
The Maple package and a brief documentation

## Hall-Littlewood polynomials

This Maple package computes Hall-Littlewood polynomials of type A and C based on Schwer's formula. It also allows to experiment with compressing this formula to one in terms of tableaux, cf. the Haglund-Haiman-Loehr formula. C. L. was partially supported by National Science Foundation grant DMS-0701044.
The package for type A and a brief documentation

The package for type C and a brief documentation

## q-weight multiplicities for the superalgebras spo(2n,M)

This Maple package computes Lusztig's q-weight multiplicities for the semisimple Lie algebras of type B-D, as well as the q-weight multiplicities for the Lie superalgebras spo(2n,M) introduced in a joint paper with C. Lecouvey. C. L. was partially supported by National Science Foundation grant DMS-0701044.
The package and a brief documentation

## The package Alcove_Path for crystals

This Maple package, based on the alcove path model and using Stembridge's Coxeter and Weyl packages, is useful for investigating the combinatorics of irreducible crystals corresponding to the complex simple Lie algebras. C. L. was partially supported by National Science Foundation
grants DMS-0403029.
Documentation; The package

## References related to clustering software:

C. Lenart, Software for classification, *Studia Univ. "Babes-Bolyai"*, Mathematica **36** no. 3 (1991), 41-49.
C. Lenart, Topographical data management system, *Studia Univ. "Babes-Bolyai"*, Mathematica **36** no. 3 (1991), 51-59.
## Abstract (related to clustering software):

Between 1989 and 1992, I developed two computer packages, consisting of several programs written in Pascal and C languages. The first one is a package for clustering, while the second one is a package for processing geological data (including map processing).

Cristian Lenart, Department of Mathematics,
ES 118,
SUNY at Albany,
`lenart@csc.albany.edu`