MathOverflow

The set of sums of a fixed ammount of primes (resp. $n$-th powers) is a classical object, being the subject of Vinogradov's theorem (resp. Waring's problem). I would like to ask about sums of friable integers. Specifically, can you give explicit, finite...

Is it true that the Veronese embedding minimizes the maximal normal curvature among all smooth embeddings $\mathbb{R}\mathrm{P}^n\hookrightarrow \mathbb{S}^N$?
Remarks
The Veronese embedding $\mathbb{R}\mathrm{P}^n\hookrightarrow \mathbb{S}^{(n+3)\cdot n/2}$ describes a minimal surface. Its induced metric tensor $=2\times$(canonical metric on $\mathbb{R}\mathrm{P}^n$). It sends geodesics of $\mathbb{R}\mathrm{P}^n...

There is, of course, a complete classification for simple complex Lie algebras. Is there a good reference which lists the group of outer automorphisms for each?

In the paper, "A universal characterization of higher algebraic K-theory", available for example as arXiv:1001.2282, Blumberg, Gepner, and Tabuada give a characterization of the Dennis trace map $K \rightarrow HH$ as the unit $1 \in \pi_0 \operatorname...