Skip to the Main Content

Note:These pages make extensive use of the latest XHTML and CSS Standards. They ought to look great in any standards-compliant modern browser. Unfortunately, they will probably look horrible in older browsers, like Netscape 4.x and IE 4.x. Moreover, many posts use MathML, which is, currently only supported in Mozilla. My best suggestion (and you will thank me when surfing an ever-increasing number of sites on the web which have been crafted to use the new standards) is to upgrade to the latest version of your browser. If that's not possible, consider moving to the Standards-compliant and open-source Mozilla browser.

January 27, 2012

G2 and Spin(8) Triality

Oscar Chacaltana, Yuji Tachikawa and I are deep in the weeds of nilpotent orbits. One of the things we had to study were the nilpotent orbits of 𝔤 2\mathfrak{g}_2, and how they sit in 𝔰𝔬(8)\mathfrak{so}(8). Understanding the answer involves an explicit description of Spin(8)Spin(8) triality, which I thought was kinda cute. Few people will care about the nilpotent orbits, but the bit about triality and G 2G_2 might be of some independent interest. So here it is.

Posted by distler at 2:09 PM | Permalink | Followups (12)