| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5772019 | Journal of Algebra | 2017 | 14 Pages |
Abstract
We give an explicit construction of Lie algebras of type E7 out of a Lie algebra of type D6 with some restrictions. Up to odd degree extensions, every Lie algebra of type E7 arises this way. For Lie algebras that admit a 56-dimensional representation we provide a more symmetric construction based on an observation of Manivel; the input is seven quaternion algebras subject to some relations.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Victor Petrov,