epub Structure and Representations of Q-Groups (Lecture Notes in Mathematics) download
by David Paul Kletzing
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Algebraic groups are treated in this volume from a group theoretical point of view and the obtained results are compared with the analogous issues in the theory of Lie groups. The main body of the text is devoted to a classification of algebraic groups and Lie groups having only few subgroups or few factor groups of different type.
Modular representation theory. Series: Lecture notes in mathematics (Springer-Verlag); 1081
Modular representation theory. Lecture notes in mathematics; 1081) Bibliography: p. Includes index. 1. Modular representations of groups. 2. Rings (Algebra) I. Title. II. Series: Lecture notes in mathematics (Springer-Verlag); 1081. QA. 28 no. 1081 510s 84-20207 ISBN 0-387-13389-5 (. In the study of representation theory in characteristic zero, it is customary to work in terms of the character table, namely the square table whose rows are indexed by the ordinary irreducible representations, whose columns are indexed by the conjugacy classes of group elements, and where a typical entry gives the trace of the group element on the representation.
Group Representations in Probability and Statistics. This monograph is an expanded version of lecture notes I have used over the past eight years. Chapter 2 - Basics of Representations and Characters A. Definitions and examples B. The basic theorems C. Decomposition of the regular representation and Fourier inversion D. Number of irreducible representations E. Products of Groups. I first taught this subject at Harvard's Department of Statistics 1981-82 when a version of these notes were issued. I've subsequently taught the subject at Stanford in 1983 and 1986.
Kletzing D. (1984) Rational representations of Q-groups. In: Structure and Representations of Q-groups. Lecture Notes in Mathematics, vol 1084. Springer, Berlin, Heidelberg. First Online 23 January 2007.
Structure and Representations of Q-Groups. Authors: Kletzing, Dennis. Application to the Weyl groups of exceptional type. Bibliographic Information. Structure and Representations of Q-Groups. Lecture Notes in Mathematics.
The present lecture notes arose from a representation theory course given by Prof. Chapter 3: Representations of Finite Groups: Basic Results (PDF). The book Introduction to Representation Theory based on these notes was published by the American Mathematical Society in 2016. A complete file of the book (PDF - . MB) is on Prof. Maschke's Theorem . Characters . Examples . Duals and tensor products of representations . Orthogonality of characters . Unitary representations.
Lecture Notes in Mathematics. Chapter · November 2006 with 1 Reads The indecomposable integral representations of Klein’s Four Group over a discrete valuation ring in which 2 is a non-zero prime element. Chapter · November 2006 with 1 Reads. How we measure 'reads'. LetK be the structure got by forgetting the composition law of morphisms in a given category. A linear representation ofK is given by a map V associating with any morphism : ae ofK a linear vector space map V(): V(a)V(e). We classify thoseK having only finitely many isomorphy classes of indecomposable linear representations. The indecomposable integral representations of Klein’s Four Group over a discrete valuation ring in which 2 is a non-zero prime element were first determined by Nazarova, as a consequence of her study of modules over tetrad rings. (1984) Constructions of Q-groups. Publisher Name Springer, Berlin, Heidelberg. Print ISBN 978-3-540-13865-5. Online ISBN 978-3-540-39056-5.