Hermitian Analogue of a Theorem of Springer

By R. Parimala, R. Sridharan, V. Suresh. 2001

68 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/1c42210c1187f58d656ae9ab31f191849654392c

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1. R. Garibaldi

Citations in the corpus

• The Rost invariant has trivial kernel for quasi-split groups of low rank (2000, background): “nce A is Brauer-equivalent to a quaternion algebra, it follows from the material in [Sch85, Ch. 10] that the canonical map H1(F,SO(A,σ)) → H1(L,SO(A,σ)) is injective. (This was shown independently in [PSS] and [Dej99, 5.3.1].) So the image of β′ in H1(F,SO(A,σ)) must also be −1. 7.7. More generally,”