Topic
E8
About: E8 is a research topic. Over the lifetime, 420 publications have been published within this topic receiving 14929 citations.
Papers published on a yearly basis
1 / 2
Papers
Book•
1 Jan 1972TL;DR: In this article, the authors present a generalization of the Weyl Group to the Chevalley Group, and further properties of the twisted simple groups, including generators, relations and automorphisms.
Abstract: Partial table of contents: The Classical Simple Groups. Weyl Groups. Simple Lie Algebras. The Chevalley Groups. Unipotent Subgroups. The Diagonal and Monomial Subgroups. The Bruhat Decomposition. Polynomial Invariants of the Weyl Group. The Exponents of the Weyl Group. Further Properties of the Chevalley Groups. Generators, Relations and Automorphisms in Chevalley Groups. The Twisted Simple Groups. Further Properties of the Twisted Groups. Associated Geometrical Structures. Sporadic Simple Groups. Bibliography. Index of Notation. Index.
1,792 citations
Book•
1 Jan 1980
TL;DR: In this article, the resolution of the adjoint quotient of an adjoint action is defined as the sum of all the elements in simple lie algebras and simple singularities.
Abstract: Regular group actions.- Deformation theory.- The quotient of the adjoint action.- The resolution of the adjoint quotient.- Subregular singularities.- Simple singularities.- Nilpotent elements in simple lie algebras.- Deformations of simple singularities.
683 citations
TL;DR: In this article, a new class of unitary N = 2 superconformal theories, including those with central charge > 3, is constructed via the coset space (G/H) method applied to super-Kac-Moody algebras.
572 citations
Book•
1 Jan 1970
TL;DR: In this paper, the authors present properties and linear representations of Chevalley groups with split (B, N)-pairs, characters of special groups, and conjugacy classes in the Weyl group.
Abstract: Properties and linear representations of Chevalley groups.- Modular representations of finite groups with split (B, N)-pairs.- Cusp forms for finite groups.- Characters of special groups.- Conjugacy classes.- Centralizers of involutions in finite Chevalley groups.- Conjugacy classes in the Weyl group.
539 citations
TL;DR: Lower bounds on the degree of a Chevalley group over a field of characteristic other than p have been obtained by Landazuri et al. as mentioned in this paper, who showed that for most types of groups and for most primes p it is not difficult to obtain reasonable lower bounds for the complex irreducible characters of G = G(q), using the existence of certain p-subgroups of G resembling extraspecial groups.
459 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2021 | 4 |
| 2020 | 6 |
| 2019 | 3 |
| 2018 | 4 |
| 2017 | 18 |
| 2016 | 6 |