This page provides representation theoretic information about the universal cover of the split real form of type F4.

For now, we consider only those infinitesimal characters that are symmetric i.e., in the usual coordinates, two coordinates are integral and two coordinates are (strictly) half-integral.

See the spin page for an explanation of the output below.


F4 Double Cover
Infinitesimal characater: 2 integer(s) 2 half-integer(s)
Atlas K\G/B: kgb
Number of Blocks: 3
Block Size: 192

Blocks by Infinitesimal Character

Block 0
Infinitesimal Character (6.0, 2.0, 1.5, 0.5)
Block 1
Infinitesimal Character (5.0, 1.5, 1.0, 0.5)
Block 2
Infinitesimal Character (6.0, 2.5, 1.5, 1.0)