Geometry of orbits of permanents and determinants

2010/07/10 by Shrawan Kumar, Kumar, Shrawan
Mathematics · #14L24 #14L30 #14R20 #20G05 #Algebraic Geometry (math.AG) #FOS: Mathematics #Representation Theory (math.RT) #math.AG #math.RT #msc:14L24 #msc:14L30 #msc:14R20 #msc:20G05

paper · pdf · doi:10.48550/arxiv.1007.1695

28 pages

arxiv created 2010/07/10 · arxiv updated 2010/07/13

Abstract

We prove that the orbit closure of the determinant is not normal. A similar result is obtained for the orbit closure of the permanent multiplied by a power of a linear form.

Related

• No occurrence obstructions in geometric complexity theory
• Fundamental invariants of orbit closures
• Orbits of linear series on the projective line
• Orbit closures of representations of source-sink Dynkin quivers
• Geometric complexity theory and matrix powering