A description of the outer automorphism of \(S_6\), and the invariants of six points in projective space

• Published in 2008
• Added on 2018-05-14

We use a simple description of the outer automorphism of \(S_6\) to cleanly describe the invariant theory of six points in \(\mathbb{P}^1\), \(\mathbb{P}^2\), and \(\mathbb{P}^3\).

Comment

The nobbly wobbly toy is based on this.

Links

• https://www.sciencedirect.com/science/article/pii/S0097316508000125
• http://math.stanford.edu/~vakil/files/sixjan2308.pdf

Other information

BibTeX entry

@article{AdescriptionoftheouterautomorphismofS6andtheinvariantsofsixpointsinprojectivespace,
	key = {AdescriptionoftheouterautomorphismofS6andtheinvariantsofsixpointsinprojectivespace},
	type = {article},
	title = {A description of the outer automorphism of \(S{\_}6\), and the invariants of six points in projective space},
	author = {Ben Howard and John Millson and Andrew Snowden and Ravi Vakil},
	abstract = {We use a simple description of the outer automorphism of \(S{\_}6\) to cleanly describe the invariant theory of six points in \(\mathbb{\{}P{\}}^1\), \(\mathbb{\{}P{\}}^2\), and \(\mathbb{\{}P{\}}^3\).},
	comment = {The nobbly wobbly toy is based on this.},
	date_added = {2018-05-14},
	date_published = {2008-10-09},
	urls = {https://www.sciencedirect.com/science/article/pii/S0097316508000125,http://math.stanford.edu/{\~{}}vakil/files/sixjan2308.pdf},
	collections = {Things to make and do,The groups group},
	url = {https://www.sciencedirect.com/science/article/pii/S0097316508000125 http://math.stanford.edu/{\~{}}vakil/files/sixjan2308.pdf},
	urldate = {2018-05-14},
	year = 2008
}