Acar, Merve2017-08-022017-08-022017-072017-072017-08-01http://hdl.handle.net/11693/33523Cataloged from PDF version of article.Thesis (M.S.): Bilkent University, Department of Mathematics, İhsan Doğramacı Bilkent University, 2017.Includes bibliographical references (leaves 26-27).The aim of this thesis construct structure of Free Lie Algebra L(V ) generated by nite dimensional vector space V and decompose into irreducible components of a given degree n. To splits into irreducible component, representation of GL(V ) is main tool. However, representation of symmetric groups is used to split since representations of GL(V ) and representations of symmetric group have duality, called Schur duality. After decomposing, Kra skiewicz-Weyman theory and formula using character theory are used to determine the multiplicity of irreducible component.vii, 42 leaves : charts (some color) ; 29 cm.Englishinfo:eu-repo/semantics/openAccessFree Lie AlgebrasRepresentation of GL(V )Symmetric GroupsThesisB156070