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 …
the other as $\mathfrak {g} _2\subset\mathfrak {f} _4\subset\mathfrak {e} _6\subset\mathfrak …
[HTML][HTML] Strongly dense free subgroups of semisimple algebraic groups II
E Breuillard, R Guralnick, M Larsen - Journal of Algebra, 2024 - Elsevier
It was shown in [9] that there exist strongly dense free subgroups in any semisimple
algebraic group over a large enough field. These are nonabelian free subgroups all of …
algebraic group over a large enough field. These are nonabelian free subgroups all of …
Local–global principles for embedding of fields with involution into simple algebras with involution
G Prasad, AS Rapinchuk - Commentarii mathematici Helvetici, 2010 - ems.press
In this paper we prove local–global principles for the existence of an embedding (E, σ)↪(A,
τ) of a given global field E endowed with an involutive automorphism σ into a simple algebra …
τ) of a given global field E endowed with an involutive automorphism σ into a simple algebra …
[图书][B] Groupes algébriques semi-simples en dimension cohomologique≤ 2
P Gille - 2019 - Springer
Ce livre porte sur la conjecture II de Serre en cohomologie galoisienne non abélienne des
groupes algébriques, énoncée en 1962. Cette conjecture est fortement liée à la …
groupes algébriques, énoncée en 1962. Cette conjecture est fortement liée à la …
Degree three cohomological invariants of semisimple groups.
A Merkurjev - Journal of the European Mathematical Society (EMS …, 2016 - ems.press
Degree three cohomological invariants of semisimple groups Page 1 DOI 10.4171/JEMS/599 J.
Eur. Math. Soc. 18, 657–680 c European Mathematical Society 2016 A. Merkurjev Degree …
Eur. Math. Soc. 18, 657–680 c European Mathematical Society 2016 A. Merkurjev Degree …
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 …
VARIETIES AND THE ROST INVARIANT S. GARIBALDI, V. PETROV, and N. SEMENOV …
Bounded negativity of self-intersection numbers of Shimura curves in Shimura surfaces
M Möller, D Toledo - Algebra & Number Theory, 2015 - msp.org
Bounded negativity of self-intersection numbers of Shimura curvesin Shimura surfaces Page 1
Algebra & Number Theory msp Volume 9 2015 No. 4 Bounded negativity of self-intersection …
Algebra & Number Theory msp Volume 9 2015 No. 4 Bounded negativity of self-intersection …
The multinorm principle for linearly disjoint Galois extensions
TP Pollio, AS Rapinchuk - arXiv preprint arXiv:1203.0359, 2012 - arxiv.org
Let L_1 and L_2 be finite separable extensions of a global field K, and let E_i be the Galois
closure of L_i over K for i= 1, 2. We establish a local-global principle for the product of norms …
closure of L_i over K for i= 1, 2. We establish a local-global principle for the product of norms …
Serre's conjecture II: a survey
P Gille - Quadratic forms, linear algebraic groups, and …, 2010 - Springer
Serre’s Conjecture II: A Survey Page 1 Serre’s Conjecture II: A Survey Philippe Gille Dedicated
to Parimala Summary We provide a survey of Serre’s conjecture II (1962) on the vanishing of …
to Parimala Summary We provide a survey of Serre’s conjecture II (1962) on the vanishing of …
Tits ‐indexes of semisimple algebraic groups
C De Clercq, S Garibaldi - Journal of the London Mathematical …, 2017 - Wiley Online Library
The first author has recently shown that semisimple algebraic groups are classified up to
motivic equivalence by the local versions of the classical Tits indexes over field extensions …
motivic equivalence by the local versions of the classical Tits indexes over field extensions …