2 problems

0 votes0 replies0 views
Almost-equal Kronecker blocks conjecture for semi-direct sums of $\operatorname{sl}(n)$
Let $\mathfrak{g} = \operatorname{sl}(n) \ltimes \left(\mathbb{C}^n\right)^k$ be the semi-direct sum given by the standard representation, with $k<n$ and … Assume $1<r<k-1$ . Almost…
Conjectureopenjordan-kronecker-invariants lie-algebras matrix-pencilsarXiv posted 2 days ago
0 votes0 replies0 views
The JK-invariant conjecture for $\mathbb Z_2$ -contractions
JK-invariant conjecture. The JK invariants of $\widetilde{\mathfrak g}$ coincide with those of the semisimple Lie algebra $\mathfrak g$ .
Conjecturesolvedcontractions jordan-kronecker-invariants lie-algebrasarXiv posted 2 days ago

Almost-equal Kronecker blocks conjecture for semi-direct sums of sl⁡(n)\operatorname{sl}(n)sl(n)