direkt zum Inhalt springen

direkt zum Hauptnavigationsmenü

Sie sind hier

TU Berlin

Page Content

Ehemalige Mitarbeiter

Dr. Jesko Hüttenhain


Persönliche Homepage

Public PGP Key

9385 AE1C 1D4A 81E3 0625 E6D4 9B02 A914 FE3C 2DE1


Publikationen in der Arbeitsgruppe

Permanent Versus Determinant: Not Via Saturations
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 $S(Det_n)$.
Link to publication Link to original publication Download Bibtex entry

Zusatzinformationen / Extras

Quick Access:

Schnellnavigation zur Seite über Nummerneingabe

This site uses Matomo for anonymized webanalysis. Visit Data Privacy for more information and opt-out options.