Poincaré series of the Weyl group of elliptic Lie algebras $A^{(1,1)}_1$ and $A^{(1,1) \ast}_1$

Details Poincaré series of the Weyl group of elliptic Lie algebras $A^{(1,1)}_1$ and $A^{(1,1) \ast}_1$ Poincaré series of the Weyl group of elliptic Lie algebras $A^{(1,1)}_1$ and $A^{(1,1) \ast}_1$

1997-05-29

arxiv.org/abs/q-alg/9705025v2

Mathematics

Quantum Algebra

9 pages, amslatex. A reference on the Bruhat-Tits buildings is added.

Scientific paper

In this note, we calculate the Poincar\'{e} series of elliptic Weyl groups of
type $A^{(1,1)}_1$ and $A^{(1,1) \ast}_1$ and show that they have a simple
expression.

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