arXiv subjects

Felix Röhrich

Publications and source records attributed to Felix Röhrich.

2 recordsLinked to original sources

arXiv2026

Dual imaginary vectors, tight monomial cones and quantum Frobenius morphism

We show that the quantum Frobenius morphism and its splitting are not fully compatible with the canonical basis for any finite-dimensional simple Lie algebra if the rank is sufficiently large. The incompatibility occurs at same place where Leclerc found his imaginary vectors, and where there are monomials in the tight monomial cone which do not belong to the canonical basis.

math.RT↗

arXiv2025

Low-Rank Tensor Recovery via Theta Nuclear p-Norm

We investigate the low-rank tensor recovery problem using a relaxation of the nuclear p-norm by theta bodies. We provide algebraic descriptions of the norms and compute their Gröbner bases. Moreover, we develop geometric properties of these bodies. Finally, our numerical results suggest that for $n\times\cdots\times n$ tensors, $m\geq O(n)$ measurements should be sufficient to recover low-rank tensors via theta body relaxation.

math.OC↗