Skip to main content

All Questions

Tagged with
Filter by
Sorted by
Tagged with
1 vote
0 answers
95 views

Symmetric cones and symmetric spaces

I start by stating what I think I understood on symmetric cones (https://en.wikipedia.org/wiki/Symmetric_cone). Let $\mathcal{C}$ be a symmetric cone in a vector space $V$. There are Riemannian ...
Chevallier's user avatar
2 votes
2 answers
336 views

Are the automorphism groups of simple symmetric cones algebraic groups?

This question arises when I tried to understand Chapter 2 of the celebrated book "Smooth compactification of locally symmetric varieties" by Ash–Mumford–Rapoport–Tai. The setting is as ...
Mingchen Xia's user avatar
1 vote
1 answer
197 views

Semisimple Lie algebra and convexity

There is any relation between semisimple lie algebras and symmetric cones? I'm saying this because the classification of the euclidean Jordan algebras, dual by Koecher-Vinberg theorem to homogeneous ...
Nicolas Medina Sanchez's user avatar