Notation

Each entry links to its definition.

Table 1. Symbols and their GLₙ instances.
SymbolMeaning / instanceDefinition
\(\resfield\)algebraically closed residue fieldOpen
\(\OO\)power-series ringOpen
\(\FF\)Laurent-series fieldOpen
\(\unif\)uniformizerOpen
\(\GLn\)general linear groupOpen
\(\Iwa\)upper-triangular IwahoriOpen
\(\Wt\)extended affine Weyl groupOpen
\(\Wf\)finite Weyl group; here SₙOpen
\(\Xco\)cocharacter lattice; here ZⁿOpen
\(\Qco\)zero-sum coroot latticeOpen
\(\Wa\)affine Weyl groupOpen
\(\Om\)length-zero subgroupOpen
\(\kap\)determinant valuation W̃ → ZOpen
\(\rot\)cyclic rotation with one uniformizerOpen
\(\LLk\)lattice τᵏ OⁿOpen
\(\lam,\muv\)integral cocharacter vectorsOpen
\(\ZZ\)integersOpen
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