It is known that if A is subset of reflection subgroup of an affine coxeter group W then the poincare series of minimal length coset representatives of A is a rational function.From this fact is it true that poincare series of A itself is a rational function with respect to the length function Of W?

Take the 2-minute tour
×

MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.