Algorithms for Computing Restricted Root Systems and Weyl Groups

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Title: Algorithms for Computing Restricted Root Systems and Weyl Groups
Author: Cicco, Tracey Martine Westbrook
Advisors: Dr. Aloysius Helminck, Committee Chair
Dr. Ernest Stitzinger, Committee Member
Dr. Tom Lada, Committee Member
Dr. Amassa Fauntleroy, Committee Member
Abstract: While the computational packages LiE, Gap4, Chevie, and Magma are sufficient for work with Lie Groups and their corresponding Lie Algebras, no such packages exist for computing the k-structure of a group or the structure of symmetric spaces. My goal is to examine the k-structure of groups and the structure of symmetric spaces and arrive at various algorithms for computing in these spaces.
Date: 2006-05-04
Degree: PhD
Discipline: Mathematics
URI: http://www.lib.ncsu.edu/resolver/1840.16/4830


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