Conjugacy of Alt5 and SL(2.5) Subgroups of E8(C)
Seiten
1998
American Mathematical Society (Verlag)
978-0-8218-0778-1 (ISBN)
American Mathematical Society (Verlag)
978-0-8218-0778-1 (ISBN)
- Titel ist leider vergriffen;
keine Neuauflage - Artikel merken
Exceptional complex Lie groups are important in various fields of mathematics and physics. This work contains the results concerning conjugacy classes of embeddings of finite subgroups of an exceptional complex Lie group in which there are large numbers of classes.
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 $E_8 (/mathbb C)$. 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 explicit.Each known conjugacy class is listed by its fusion pattern with an explicit character afforded by an embedding in that class.
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 $E_8 (/mathbb C)$. 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 explicit.Each known conjugacy class is listed by its fusion pattern with an explicit character afforded by an embedding in that class.
Introduction and Preliminaries The dihedral group of order 6 The dihedral group of order 10 The $/textnormal {Alt}_5$ and $/textnormal {SL} (2, 5)$ fusion patterns in $/textnormal {G}, /mathcal A, /Delta$ and $/Omega$ Fusion patterns of $/textnormal {Alt}_5$ and $/textnormal {SL} (2, 5)$ subgroups of $/textnormal {H}$ Fusion patterns of $/textnormal {Alt}_5$ subgroups of $/mathcal E$ Conjugacy classes of $/textnormal {Alt}_5$ subgroups of $/textnormal {G}$ Conjugacy classes of $/textnormal {SL} (2, 5)$ subgroups of $/textnormal {G}$ Appendix Table of notation References.
| Erscheint lt. Verlag | 30.4.1998 |
|---|---|
| Reihe/Serie | Memoirs of the American Mathematical Society |
| Verlagsort | Providence |
| Sprache | englisch |
| Gewicht | 340 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| Naturwissenschaften ► Physik / Astronomie ► Quantenphysik | |
| ISBN-10 | 0-8218-0778-1 / 0821807781 |
| ISBN-13 | 978-0-8218-0778-1 / 9780821807781 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
| Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
Eine Einführung für Studienanfänger
Buch | Softcover (2025)
Springer Spektrum (Verlag)
CHF 41,95
Sieben ausgewählte Themenstellungen
Buch | Softcover (2024)
De Gruyter Oldenbourg (Verlag)
CHF 89,95
