Conjugacy of Alt5 and SL(2, 5) subgroups of E8(C) / Darrin D. Frey.

Format:

Book

Author/Creator:

Frey, Darrin D., 1966- author.

Series:

Memoirs of the American Mathematical Society ; no. 634.

Memoirs of the American Mathematical Society, 0065-9266 ; number 634

Language:

English

Subjects (All):

Lie groups.

Representations of groups.

Physical Description:

1 online resource (175 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, 1998.

Language Note:

English

Summary:

Exceptional complex Lie groups have become increasingly important in various fields of mathematics and physics. As a result, there has been interest in expanding the representation theory of finite groups to include embeddings into the exceptional Lie groups. Cohen, Griess, Lisser, Ryba, Serre and Wales have pioneered this area, classifying the finite simple and quasisimple subgroups that embed in the exceptional complex Lie groups. This work contains the first major results concerning conjugacy classes of embeddings of finite subgroups of an exceptional complex Lie group in which there are large numbers of classes. The approach developed in this work is character theoretic, taking advantage of the classical subgroups of Eg(C). The machinery used is relatively elementary and has been used by the author and others to solve other conjugacy problems. The results presented here are very explicity. Each known conjugacy class if listed by its fusion pattern with an explicit character afforded by an embedding in that class.

Contents:

""Table of Contents""; ""Introduction and Preliminaries""; ""The Dihedral group of order 6""; ""The Dihedral Group of order 10""; ""The Alt[sub(5)] and SL(2,5) fusion patterns in G, A, Î? and Ω""; ""Fusion patterns of Alt[sub(5)] and SL(2, 5) subgroups of H""; ""Fusion patterns of Alt[sub(5)] subgroups of E""; ""Conjugacy classes of Alt[sub(5)] subgroups of G""; ""Conjugacy classes of SL(2,5) subgroups of G""; ""Appendix""; ""Table of Notation and Definitions""; ""References""

Notes:

"May 1998, volume 133, number 634 (end of volume)."

Includes bibliographical references (pages 161-162).

Description based on print version record.

ISBN:

1-4704-0223-8