Title

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 Department

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

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