Combinatorics

Physics

Pure mathematics

Mathematics

Plane curve

Current algebra

Algebra over a field

Affine plane (incidence geometry)

Group (periodic table)

Affine Lie algebra

Affine representation

Quantum mechanics

Dihedral group

Affine transformation

Advanced studies in pure mathematics

I. The basis Cw of the Hecke algebra 2. The function a 3. Positivity 4. Left cells and two-sided cells 5. Cells and the function a 6.The case of a finite Wey1 group 7.An upper bound for a(w) for w in an affine Wey1 group 8.The subset W(v) of an affine Wey1 group 9. Construction of n-tempered representations 10.Left cells and dihedral subgroups II.Left cells in the affine Wey1 groups A2, B2, G2

Cells in Affine Weyl Groups