Description
Book SynopsisCenters around the study of representation of certain concrete classes of groups, including permutation groups and compact semi simple Lie groups. This book culminates in the complete proof of the Weyl character formula for representations of compact Lie groups and the Frobenius formula for characters of permutation groups.
Table of ContentsGroups and counting principles Fundamentals of group representations Abstract theory of representations of finite groups Representations of concrete finite groups. I: Abelian and Clifford groups Representations of concrete finite groups. II: Semidirect products and induced representations Representations of concrete finite groups. III: The symmetric groups Compact groups The structure of compact semisimple groups The representations of compact semisimple groups Multilinear algebra (Appendix A) The analysis of self-adjoint Hilbert-Schmidt operators (Appendix B) Bibliography Index.
