Essential dimension of Albert algebras

MacDonald, Mark (2014) Essential dimension of Albert algebras. Bulletin of the London Mathematical Society. ISSN 0024-6093

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Abstract

This paper shows that the number of independent parameters required to describe an Albert algebra up to isomorphism is at most seven. In other words, the essential dimension of the split group of type F 4 over a field of characteristic not 2 or 3 satisfies ed(F 4 )≤7 . This is achieved by reducing the structural group from the full 52-dimensional automorphism group to a subgroup of dimension 10, and exhibiting an eighteen-dimensional generically free linear representation that remains generically free once projectivized.

Item Type:
Journal Article
Journal or Publication Title:
Bulletin of the London Mathematical Society
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600
Subjects:
ID Code:
69757
Deposited By:
Deposited On:
01 Jul 2014 09:25
Refereed?:
Yes
Published?:
Published
Last Modified:
03 Aug 2020 00:01