Modular representations of symmetric groups

dc.contributor.advisor	Ben-Zvi, David	en
dc.contributor.advisor	Meth, John	en
dc.creator	Levenstein, Dustan	en
dc.date.accessioned	2013-05-09T19:37:25Z	en
dc.date.available	2013-05-09T19:37:25Z	en
dc.date.issued	2013-05	en
dc.description.abstract	I have studied representation theory of finite groups, in particular of the symmetric group over fields of prime characteristics. Over C, there is a nice classification of the simple representations of symmetric groups. Here I give a description of how the standard representation behaves in prime characteristic, and I study the structure of the group algebras of small symmetric groups in more detail. The general subject of representation theory sits at the crossroads of a vast array of subjects in mathematics, including algebraic geometry, module theory, analytic number theory, differential geometry, operator theory, algebraic combinatorics, topology, fourier analysis, and harmonic analysis. Modular Representation theory, the study of representations of finite groups over a field of positive characteristic, has in particular been used in the classification of finite simple groups, and itself finds applications in a variety of areas of mathematics.	en
dc.description.department	Mathematics	en
dc.identifier.uri	http://hdl.handle.net/2152/20109	en
dc.language.iso	eng	en
dc.subject	representation theory	en
dc.title	Modular representations of symmetric groups	en
dc.type	Thesis	en