This volume concerns invariants of $ G $-torsors with values in mod $ p $ Galois
cohomology--in the sense of Serre's lectures in the book Cohomological invariants in Galois …

Let $ G $ be a not necessarily split reductive group scheme over a commutative ring $ R $
with $1 $. Given a parabolic subgroup $ P $ of $ G $, the elementary group $\mathrm {E} _P …

Albert algebras, a specific kind of Jordan algebra, are naturally distinguished objects among
commutative nonassociative algebras and also arise naturally in the context of simple affine …

Chow motives of twisted flag varieties Page 1 Compositio Math. 142 (2006) 1063–1080 doi:10.1112/S0010437X06002053
Chow motives of twisted flag varieties B. Calm`es, V. Petrov, N. Semenov and K. Zainoulline …

In two 1966 papers, J. Tits gave a construction of exceptional Lie algebras (hence implicitly
exceptional algebraic groups) and a classification of possible indexes of simple algebraic …

We determine the group of linear transformations preserving a polynomial function $ f $ on a
vector space $ V $ for several interesting pairs $(V, f) $ by introducing a subgroup $ G $ of …

We define an invariant of torsors under adjoint linear algebraic groups of type Cn—
equivalently, central simple algebras of degree 2n with symplectic involution—for n divisible …

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 …

Albert algebras stand at a crossroads of subjects. They are useful for understanding
exceptional Lie and algebraic groups and symmetric domains. They also stand out in their …

One interesting combinatorial feature of classical determinantal varieties is that the character
of their coordinate rings give a natural truncation of the Cauchy identity in the theory of …