Algebraic groups play much the same role for algebraists as Lie groups play for analysts.
This book is the first comprehensive introduction to the theory of algebraic group schemes …

It is well known that every group of type F4 is the automorphism group of an exceptional
Jordan algebra, and that up to isogeny all groups of type 1E6 with trivial Tits algebras arise …

A bstract We study properties of D= 4\(\mathcal {N}\geqslant {2}\) extended supergravities
(and related compactifications of superstring theory) and their consistent truncation to the …

A bstract We generalize Cremmer-Julia 1st order action of\(\mathcal {N}= 8\) supergravity
with manifest E 7 (7) symmetry to cases of\(\mathcal {N}= 6\) with manifest SO∗(12) …

A bstract We study General Freudenthal Transformations (GFT) on black hole solutions in
Einstein-Maxwell-Scalar (super) gravity theories with global symmetry of type E 7. GFT can …

By exploiting a" mixed" non-symmetric Freudenthal-Rozenfeld-Tits magic square, two types
of coset decompositions are analyzed for the non-compact special Kähler symmetric rank-3 …

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 …

An algebraic group of type E7 over an algebraically closed field has an irreducible
representation in a vector space of dimension 56 and is, in fact, the identity component of the …

We give an explicit construction of Lie algebras of type E 7 out of a Lie algebra of type D 6
with some restrictions. Up to odd degree extensions, every Lie algebra of type E 7 arises this …

For simple simply connected algebraic groups of classical type, Merkurjev, Parimala, and
Tignol gave a formula for the restriction of the Rost invariant to the torsors induced from the …