Unipotent Values

Displays the values of the unipotent characters $\gamma_i$ of $\mathbf{G}(\mathbb{F}_q)$ on local systems $L_j$ (default) or on unipotent classes $u_j$, corresponding to UnipotentValues(uc, W) in GAP3/Chevie. The entries are computed by applying Lusztig's Fourier transform matrix to the $\tilde{X}_{u,\phi}$ functions and may be polynomials in $q$ with rational coefficients. These tables are valid for generic $q$: some assumptions on the congruence class of $q$ modulo a small prime may be required (e.g. $q \equiv 1 \pmod 3$ for $G_2$). A Columns toggle switches between local systems and unipotent classes.

Dynkin TypeABCDEFG

Rank

Characteristic02