A non-associative structure in the group algebra of PSL2(Z)
Date of Publication
2019
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics with specialization in Business Applications
Subject Categories
Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Abstract/Summary
The group PSL2(Z) is the quotient group of SL2(Z) modulo the normal subgroup {-I,I}. The group algebra A of PSLâ‚‚(Z) is the associative algebra for which the elements of PSL2(Z) form a basis. We will study the non-associative structure which is the Lie algebra structure in A with the operation of Lie bracket taken as the commutator. Using several computations involving nested commutators, we express the results of our computations in terms of the standard basis for A and we discover that there are invariant subspaces under some adjoint maps. We also show some interesting properties of the said subspaces.
Abstract Format
html
Language
English
Format
Electronic
Accession Number
CDTU017654
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Recommended Citation
Tan, C., & Zaraspe, I. (2019). A non-associative structure in the group algebra of PSL2(Z). Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/18568
