X-Table

Displays the scalar matrix of character sheaves $X_i$ of the algebraic group on local systems $L_j$ (or on unipotent classes $u_j$), corresponding to XTable(uc, W) in GAP3/Chevie. The rows are indexed by character sheaves, labeled $X^W_\phi$ by the character $\phi$ of the relative Weyl group $W$; the columns are local systems or unipotent classes. A Columns toggle switches between these two modes. A Y-table toggle shows the companion matrix $Y_{i,j}$ that arises from the block-diagonal $L$-matrix of the Lusztig–Shoji algorithm.

Dynkin TypeABCDEFG

Rank

Characteristic02