𝐸₈, the most exceptional group

S Garibaldi - Bulletin of the American Mathematical Society, 2016 - ams.org
The five exceptional simple Lie algebras over the complex number are included one within
the other as $\mathfrak {g} _2\subset\mathfrak {f} _4\subset\mathfrak {e} _6\subset\mathfrak …

Open problems on central simple algebras

A Auel, E Brussel, S Garibaldi, U Vishne - Transformation Groups, 2011 - Springer
Open problems on central simple algebras | SpringerLink Skip to main content Advertisement
SpringerLink Log in Menu Find a journal Publish with us Search Cart 1.Home 2.Transformation …

Motivic construction of cohomological invariants

N Semenov - Commentarii Mathematici Helvetici, 2016 - ems.press
Let G be a group of type E8 over Q such that GR is a compact Lie group, let K be a field of
characteristic 0, and q D hh1; 1; 1; 1; 1ii a 5-fold Pfister form. J.-P. Serre posed in a letter to …

Shells of twisted flag varieties and the Rost invariant

S Garibaldi, V Petrov, N Semenov - 2016 - projecteuclid.org
Shells of twisted flag varieties and the Rost invariant Page 1 SHELLS OF TWISTED FLAG
VARIETIES AND THE ROST INVARIANT S. GARIBALDI, V. PETROV, and N. SEMENOV …

Hyperbolicity of orthogonal involutions

NA Karpenko - Doc. Math. Extra Volume: Andrei A. Suslin's Sixtieth …, 2010 - ems.press
Hyperbolicity of Orthogonal Involutions Page 1 Documenta Math. 371 Hyperbolicity of Orthogonal
Involutions K dn roжdeni Andre Aleksandroviqa Nikita A. Karpenko1 with an Appendix by …

The J-invariant, Tits algebras and triality

A Quéguiner-Mathieu, N Semenov… - Journal of Pure and …, 2012 - Elsevier
In the present paper we set up a connection between the indices of the Tits algebras of a
semisimple linear algebraic group G and the degree one indices of its motivic J-invariant …

Degree 5 Invariant of E 8

S Garibaldi, N Semenov - International Mathematics Research …, 2010 - ieeexplore.ieee.org
Degree 5 Invariant of E Page 1 Garibaldi, S., and N. Semenov. (2010) “Degree 5 Invariant of E8,”
International Mathematics Research Notices, Vol. 2010, No. 19, pp. 3746–3762 Advance Access …

Degree 3 cohomological invariants of groups that are neither simply connected nor adjoint

H Bermudez, A Ruozzi - arXiv preprint arXiv:1305.2899, 2013 - arxiv.org
In a recent paper A. Merkurjev constructed an exact sequence which includes as one of the
terms the group of degree 3 normalized cohomological invariants of a semisimple algebraic …

The Arason invariant of orthogonal involutions of degree 12 and 8, and quaternionic subgroups of the Brauer group

A Quéguiner-Mathieu, JP Tignol - Doc. Math, 2015 - content.ems.press
Using the Rost invariant for torsors under Spin groups one may define an analogue of the
Arason invariant for certain hermitian forms and orthogonal involutions. We calculate this …

Essential dimension of cohomology classes via valuation theory

D Ofek, Z Reichstein - arXiv preprint arXiv:2401.08532, 2024 - arxiv.org
We give a formula for the essential dimension of a cohomology class $\alpha $ in $ H^ d
(K,\mathbb {Q} _p/\mathbb {Z} _p (d)) $ when $ K $ is a strictly Henselian field. This formula …