Page Content
Publikationen in der Arbeitsgruppe
| Citation key | BIH-Permanent-Versus-Determinant-Not-Via-Saturations |
|---|---|
| Author | Peter Bürgisser and Christian Ikenmeyer and Jesko Hüttenhain |
| Pages | 1247-1258 |
| Year | 2016 |
| DOI | 10.1090/proc/13310 |
| Journal | Proc. AMS |
| Volume | 145 |
| Month | 11 |
| Abstract | Let $Det_n$ denote the closure of the $\mathrm G\mathrm L(n^2,\mathbb C)$-orbit of the determinant polynomial $\det_n$ with respect to linear substitution. The highest weights (partitions) of irreducible $\mathrm G\mathrm L(n^2,\mathbb C)$-representations occurring in the coordinate ring of $Det_n$ form a finitely generated monoid $S(Det_n)$. We prove that the saturation of $S(Det_n)$ contains all partitions λ with length at most $n$ and size divisible by $n$. This implies that representation theoretic obstructions for the permanent versus determinant problem must be holes of the monoid $S(Det_n)$. |
Zusatzinformationen / Extras
Quick Access:
Schnellnavigation zur Seite über Nummerneingabe
Auxiliary Functions
- Font size:
This site uses Matomo for anonymized webanalysis. Visit Data Privacy for more information and opt-out options.