Minuscule embeddings

@article{Gross2020MinusculeE,
  title={Minuscule embeddings},
  author={B. Gross and Skip Garibaldi},
  journal={arXiv: Representation Theory},
  year={2020}
}
1 Citations

Figures and Tables from this paper

Albert algebras over Z and other rings

A BSTRACT . Albert algebras, a specific kind of Jordan algebra, are naturally distinguished objects among commutative non-associative algebras and also arise naturally in the context of simple affine

References

SHOWING 1-10 OF 72 REFERENCES

Decomposability of orthogonal involutions in degree 12

A theorem of Pfister asserts that every $12$-dimensional quadratic form with trivial discriminant and trivial Clifford invariant over a field of characteristic different from $2$ decomposes as a

Characterization of a Class of Cubic Forms

The Book of Involutions

This monograph yields a comprehensive exposition of the theory of central simple algebras with involution, in relation with linear algebraic groups. It aims to provide the algebra-theoretic

Dynkin diagrams and short Peirce gradings of Kantor pairs

Abstract In a recent article with Oleg Smirnov, we defined short Peirce (SP) graded Kantor pairs. For any such pair P, we defined a family, parameterized by the Weyl group of type BC2, consisting of

On algebraic groups defined by Jordan pairs

  • O. Loos
  • Mathematics
    Nagoya Mathematical Journal
  • 1979
Let G be an algebraic group over a field k, and let ψ be an action of the multiplicative group km of k on G by automorphisms. We say ψ is an elementary action if it has only the weights 0, ±1; more

Non-abelian gradings of Lie algebras

We introduce non-abelian gradings of Lie algebras as their isotypic decompositions with respect to reductive groups of automorphisms. The main results relate to a special kind of SL3-gradings, in

Some Groups of Transformations defined by Jordan Algebras. I.

It is well known that the Lie algebra of derivations of the exceptional Jordan algebra Ml over an algebraically closed field of characteristic 0 or over the field of reals is the exceptional Lie
...