Finite dimensional representations of Sl(2)

introduction

• affine sl(2)
• quantum sl(2)
• Macdonald constant term conjecture
• 틀:수학노트

Catalan numbers

• http://qchu.wordpress.com/2010/03/07/walks-on-graphs-and-tensor-products/
• http://mathoverflow.net/questions/17197/how-does-this-relationship-between-the-catalan-numbers-and-su2-generalize

1. f[n_] := Integrate[(2 Cos[Pi*x])^n*2 (Sin[Pi*x])^2, {x, 0, 1}]Table[Simplify[f[2 k]], {k, 1, 10}]Table[CatalanNumber[n], {n, 1, 10}]