There are already many good books on representation theory for all kinds of groups. Two of the best (in this author’s opinion) are the one by A.W. Knapp: “Representation Theory for Semisimple Groups. An Overview based on Examples” [Kn1] and by G.W. Mackey: “Induced Representations in Physics, Probability and Number Theory” [Ma1]. The representation theory of the symmetric groups is a classical topic that, since the pioneering work of Frobenius, Schur and Young, has grown into a huge body of theory, with many important connections to other areas of mathematics and physics. This self-contained book provides a detailed introduc. The title of this book is Representation Theory of Finite Groups and it was written by Benjamin Steinberg. This particular edition is in a Paperback format. This books publish date is and it has a suggested retail price of $ It was published by Springer and has a total of pages in the book. This treatise is devoted to the description and detailed study of the representations of the rotation group of three dimensional space and of the Lorentz group. These groups are of fundamental importance in theoretical physics. The book is also designed for mathematicians studying the representations of Lie groups.

Questions about modular representation theory of finite groups can often be reduced to elementary abelian subgroups. This is the first book to offer a detailed study of the representation theory of elementary abelian groups, bringing together information from many papers and journals, as well as unpublished research. The Representation Theory of the Symmetric Group provides an account of both the ordinary and modular representation theory of the symmetric groups. The range of applications of this theory is vast, varying from theoretical physics, through combinatories to the study of polynomial identity algebras; and new uses are still being found. Representation Theory of Symmetric Groups is the most up-to-date abstract algebra book on the subject of symmetric groups and representation theory. Utilizing new research and results, this book can be studied from a combinatorial, algorithmic or algebraic viewpoint. Chapter 6. Symmetric groups, Schur–Weyl duality and PSH algebras 1. Representations of symmetric groups 2. Schur–Weyl duality. 3. Generalities on Hopf algebras 4. The Hopf algebra associated to the representations of symmetric groups 5. Classiﬁcation of PSH algebras part 1: Zelevinsky’s decomposition theorem 6.

Purchase Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles, Volume 1 - 1st Edition. Print Book & E-Book. ISBN , Price: $ Representations of Reductive p-adic Groups by Anne-Marie Aubert, Manish Mishra, Alan Roche, Steven Spallone, , Springer edition, hardcoverPages: Geometry of group representations proceedings of the AMS-IMS-SIAM Joint Summer Research Conference held July , with support from the National Science Foundation This edition published in by American Mathematical Society in Providence, : This is an excellent treatment of representation theory, especially focusing on the concrete problem of characterizing all the irreducible representations for some specific important groups such as SU(n) and the symmetric groups S_n. It gets to the point s: 1.