Conjugacy Of Alt5 And Sl 2 5 Subgroups Of E8 C
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Conjugacy of Alt5 and SL 2 5 Subgroups of E8 C
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Author | : Darrin D. Frey |
Publsiher | : Unknown |
Total Pages | : 162 |
Release | : 1998 |
Genre | : Lie groups |
ISBN | : 1470402238 |
Download Conjugacy of Alt5 and SL 2 5 Subgroups of E8 C Book in PDF, Epub and Kindle
Conjugacy of Alt5 and SL 2 5 Subgroups of E8 C
Author | : Darrin D. Frey |
Publsiher | : American Mathematical Soc. |
Total Pages | : 162 |
Release | : 1998 |
Genre | : Mathematics |
ISBN | : 9780821807781 |
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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.
Conjugacy of Alt5 and SL 2 5 Subgroups of E8 C
Author | : Darrin D. Frey |
Publsiher | : American Mathematical Soc. |
Total Pages | : 180 |
Release | : 1998-01-01 |
Genre | : Mathematics |
ISBN | : 0821863576 |
Download Conjugacy of Alt5 and SL 2 5 Subgroups of E8 C Book in PDF, Epub and Kindle
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.
On Non Generic Finite Subgroups of Exceptional Algebraic Groups
Author | : Alastair J. Litterick |
Publsiher | : American Mathematical Soc. |
Total Pages | : 156 |
Release | : 2018-05-29 |
Genre | : Affine algebraic groups |
ISBN | : 9781470428372 |
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Conjugacy of Alternating Groups of Degree 5 and SL 2 5 Subgroups of the Complex Lie Group of Type E8
Author | : Darrin Daniel Frey |
Publsiher | : Unknown |
Total Pages | : 296 |
Release | : 1995 |
Genre | : Electronic Book |
ISBN | : UOM:39015034016462 |
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Annihilating Fields of Standard Modules of mathfrak sl 2 mathbb C sim and Combinatorial Identities
Author | : Arne Meurman,Mirko Primc |
Publsiher | : American Mathematical Soc. |
Total Pages | : 89 |
Release | : 1999 |
Genre | : Mathematics |
ISBN | : 9780821809235 |
Download Annihilating Fields of Standard Modules of mathfrak sl 2 mathbb C sim and Combinatorial Identities Book in PDF, Epub and Kindle
In this volume, the authors show that a set of local admissible fields generates a vertex algebra. For an affine Lie algebra $\tilde{\mathfrak g}$, they construct the corresponding level $k$ vertex operator algebra and show that level $k$ highest weight $\tilde{\mathfrak g}$-modules are modules for this vertex operator algebra. They determine the set of annihilating fields of level $k$ standard modules and study the corresponding loop $\tilde{\mathfrak g}$-module--the set of relations that defines standard modules. In the case when $\tilde{\mathfrak g}$ is of type $A^{(1)}_1$, they construct bases of standard modules parameterized by colored partitions, and as a consequence, obtain a series of Rogers-Ramanujan type combinatorial identities.
On Medium Rank Lie Primitive and Maximal Subgroups of Exceptional Groups of Lie Type
Author | : David A. Craven |
Publsiher | : American Mathematical Society |
Total Pages | : 226 |
Release | : 2023-09-15 |
Genre | : Mathematics |
ISBN | : 9781470467029 |
Download On Medium Rank Lie Primitive and Maximal Subgroups of Exceptional Groups of Lie Type Book in PDF, Epub and Kindle
View the abstract.
A 1 Subgroups of Exceptional Algebraic Groups
Author | : Ross Lawther,Donna M. Testerman |
Publsiher | : American Mathematical Soc. |
Total Pages | : 146 |
Release | : 1999 |
Genre | : Lie algebras |
ISBN | : 9780821819661 |
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This book is intended for graduate students and research mathematicians interested in group theory and genralizations