Involution of $E_{8}$ lattice - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-22T18:58:20Z http://mathoverflow.net/feeds/question/104523 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/104523/involution-of-e-8-lattice Involution of $E_{8}$ lattice M Pandhari 2012-08-11T22:12:36Z 2012-08-11T22:12:36Z <p>Let $L$ be a lattice associate to the Dykin matrix of type $E_{8}$. I would like to understand involutions of $L$ and their invariant $L^{+}$ and coinvariant lattice $L^-$ (I think they are isomorphic). I am sure that this has been studied in some literature. I would appreciate it if anyone could let me know the classification or some reference. </p> <p>Any comments are welcome. </p>