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Abstract
We define reduced zeta functions of Lie algebras, which can be derived, via the Euler characteristic, from motivic zeta functions counting subalgebras and ideals. We show that reduced zeta functions of Lie algebras possessing a suitably well-behaved basis are easy to analyse. We prove that reduced zeta functions are multiplicative under certain conditions and investigate which reduced zeta functions have functional equations.
Received: 2006-10-19
Revised: 2008-04-28
Published Online: 2009-06-16
Published in Print: 2009-August
© Walter de Gruyter Berlin · New York 2009
