Algorithms for Computing Restricted Root Systems and Weyl Groups

k-structure;symbolic computation;symmetric spaces;linear algebraic groups

Cicco, Tracey Martine Westbrook ; Dr. Aloysius Helminck, Committee Chair,Dr. Ernest Stitzinger, Committee Member,Dr. Tom Lada, Committee Member,Dr. Amassa Fauntleroy, Committee Member,Cicco, Tracey Martine Westbrook ; Dr. Aloysius Helminck ; Committee Chair ; Dr. Ernest Stitzinger ; Committee Member ; Dr. Tom Lada ; Committee Member ; Dr. Amassa Fauntleroy ; Committee Member

University:North Carolina State University

关键词: k-structure;    symbolic computation;    symmetric spaces;    linear algebraic groups;   

Others  :  https://repository.lib.ncsu.edu/bitstream/handle/1840.16/4830/etd.pdf?sequence=1&isAllowed=y

美国|英语

来源: null

【 摘 要 】

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.