• 0 Posts
  • 8 Comments
Joined 2 years ago
cake
Cake day: June 11th, 2023

help-circle
  • The equation shown is a type of decomposition of a Lie algebra g that was introduced by Élie Cartan in his doctoral thesis. h is called a Cartan subalgebra of g.

    To answer what a Lie algebra is, an extremely hand-wavy description might be: a Lie group is a continuous group of symmetries of some geometric object (for example, the group SO(3) of rotations of three-dimensional space), and the corresponding Lie algebra is the “tangent space” to the group, that is, the space of tiny changes you can make that lie “along” the group.

    A lot of things in Lie theory and differential geometry are named after Élie Cartan, or sometimes after his son Henri.







  • Are you older? My parents moved near Traverse City to retire, since my family has done summer vacations up there for 70+ years. The year-round population in Leelanau and Grand Traverse counties now skews heavily older due to all the retirees, and also due to gentrification pricing a lot of families out.

    This has mixed effects on health care in particular. On one side, a higher proportion of medical professionals work every day with the specific problems of an older population, and there are lots of relevant specialists. On the other side, availability of primary care can be difficult.