Unipotent Characters

Lists all unipotent characters $\gamma$ of the chosen finite reductive group $G(\mathbb{F}_q)$. The table mirrors the output of UnipotentCharacters(W) in GAP3/Chevie. Each row corresponds to one character and shows:

• $\gamma$ — the character name, derived from its Harish-Chandra series.
• $\mathrm{Deg}(\gamma)$ — the generic degree: a polynomial in $q$ giving the dimension of the representation of $G(\mathbb{F}_q)$ for each prime power $q$.
• FakeDegree — the fake degree polynomial, recording the graded multiplicity of $\gamma$ in the coinvariant algebra of the Weyl group.
• $\mathrm{Fr}(\gamma)$ — the Frobenius eigenvalue, a root of unity determined by Lusztig's family data.
• Label — the label of the Lusztig family to which $\gamma$ belongs.

Dynkin TypeABCDEFG

Rank2