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Embedding of a Simple Lie Group into a Simple Lie Group and Branching Rules
Journal of Mathematical Physics, 1967A criterion established by Dynkin is used to specify the embedding of a connected simple Lie group G′ into a connected simple Lie group G, and to derive a standard procedure for evaluating branching rules. It is shown that the weight systems of the irreducible parts contained in the representation of G′ induced by a given finite dimensional ...
Navon, A., Patera, J.
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ALL GROUPS ARE OUTER AUTOMORPHISM GROUPS OF SIMPLE GROUPS
Journal of the London Mathematical Society, 2001It is shown that each group is the outer automorphism group of a simple group. Surprisingly, the proof is mainly based on the theory of ordered or relational structures and their symmetry groups. By a recent result of Droste and Shelah, any group is the outer automorphism group Out (Aut T) of the automorphism group Aut T of a doubly homogeneous ...
Droste, Manfred +2 more
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Non-simple groups which are the product of simple groups
Archiv der Mathematik, 1989This paper investigates the structure of groups with non-trivial center which can be written as a product of two simple subgroups. Examples must be covering groups of simple groups. For example \(2\cdot PSU(4,3)=AB\) where \(A\simeq PSp(4,3)\) and \(B\simeq PSL(4,3)\) and \(3\cdot PSU(4,3)=AB\) where \(A\simeq PSp(4,3)\) and \(B\simeq PSU(3,3).\) The ...
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A Presentation for the Lyons Simple Group
1999We give a presentation of the Lyons simple group together with information on a complete computational proof that the presentation is correct. This fills a longstanding gap in the literature on the sporadic simple groups. This presentation is a basis for various matrix and permutation representations of the group.
Havas, G., Sims, C. C.
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The group SK1 for simple algebras
K-Theory, 2006An algebra \(A\) over a field \(F\) is a `central simple algebra' if, over the algebraic closure of \(F\), \(A\) is isomorphic to a matrix algebra. The square root of the dimension of \(A\) is called its `degree'. It is known that \(A\simeq M_n(D)\) for a central division algebra \(D\) over \(F\). We call the degree of \(D\) the `index' of \(A\). Let \(
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Assessing differences between simple slopes in simple slopes analysis
Journal of Business Research, 2023Youjae Yi, Sang-June Park
exaly
Simple Groups and Simple Lie Algebras
Journal of the London Mathematical Society, 1965openaire +2 more sources

