Reduced zeta functions of Lie algebras
Rings and Algebras
2010-04-13 v2 Algebraic Geometry
Abstract
We define reduced zeta functions of Lie algebras, which can be derived from motivic zeta functions using the Euler characteristic. 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.
Keywords
Cite
@article{arxiv.0710.0387,
title = {Reduced zeta functions of Lie algebras},
author = {Anton Evseev},
journal= {arXiv preprint arXiv:0710.0387},
year = {2010}
}
Comments
14 pages; descriptions in Section 2 corrected; other minor changes made.