Unipotent Classes

Enumerates the unipotent conjugacy classes of the chosen reductive group. The output mirrors UnipotentClasses(W) in GAP3/Chevie. At the top, the closure order of the classes is displayed as a chain ordered by $\leq$ (Zariski closure of orbits). The table below then lists each class $u$ with:

• $u$ — the class name (e.g. a partition for classical types, or a Bala–Carter label for exceptional types).
• D-R — the Dynkin–Richardson label: a string of digits encoding the weighted Dynkin diagram of the class (shown only in characteristic $0$).
• $\dim B_u$ — the dimension of the Springer fibre $B_u = \{B \in \mathcal{B} \mid u \in B\}$.
• $A(u)$ — the component group of the centraliser $C_G(u)$.
• Springer series columns — for each Springer series, the pair $\chi : \phi$ of the $A(u)$-character $\chi$ and the relative-Weyl-group character $\phi$ attached to $u$ by the Springer correspondence.

Dynkin TypeABCDEFG

Rank

Characteristic02