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Please use this identifier to cite or link to this item: http://www.lib.ncsu.edu/resolver/1840.16/4830

Title: Algorithms for Computing Restricted Root Systems and Weyl Groups
Authors: 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
Keywords: k-structure
symbolic computation
symmetric spaces
linear algebraic groups
Issue Date: 4-May-2006
Degree: PhD
Discipline: Mathematics
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.
URI: http://www.lib.ncsu.edu/resolver/1840.16/4830
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