Generalized Igusa functions and ideal growth in nilpotent Lie rings

26 Mar 2019 Carnevale Angela Schein Michael M. Voll Christopher

We introduce a new class of combinatorially defined rational functions and apply them to deduce explicit formulae for local ideal zeta functions associated to the members of a large class of nilpotent Lie rings which contains the free class-2-nilpotent Lie rings and is stable under direct products. Our results unify and generalize a substantial number of previous computations... (read more)

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Categories


  • RINGS AND ALGEBRAS
  • COMBINATORICS