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Butcher group

Known as: Butcher series, Connes-Kreimer algebra, Connes–Kreimer algebra 
In mathematics, the Butcher group, named after the New Zealand mathematician John C. Butcher by , is an infinite-dimensional Lie group first… Expand
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Papers overview

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2018
2018
We consider the entanglement entropy for a spacetime region and its spacelike complement in the framework of algebraic quantum… Expand
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2015
2015
Let F denote the free polynomial algebra F = Q〈s3, s5, s7, . . .〉 on non-commutative variables si for odd i ≥ 3. The algebra F is… Expand
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2013
2013
Pre-Lie (or Vinberg) algebras arise from flat and torsion-free connections on differential manifolds. These algebras have been… Expand
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2011
2011
We study Feynman rules for the rational part R of the Standard Model amplitudes at one-loop level in the ’t Hooft-Veltman γ5… Expand
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2010
2010
We construct an associative algebra with a decomposition into the direct sum of the underlying vector spaces of another… Expand
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2009
2009
AbstractWe compare two different models of noncommutative geometry of the cyclotomic tower, both based on an arithmetic algebra… Expand
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2008
2008
  • noncommutative Hecke
  • 2008
  • Corpus ID: 15450841
We compute explicitly the primitive ideal space of the Bost-Connes Hecke C ∗-algebra by embedding it as a full corner in a… Expand
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Highly Cited
2005
Highly Cited
2005
This paper proves a theorem (“Theorem 6”) on the composition of, what we call, Butcher series. This Theorem is shown to be… Expand
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2003
2003
The algebraic structure underlying non-commutative Lie-Butcher series is the free Lie algebra over ordered trees. In this paper… Expand
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1998
1998
Abstract Using the formalism of superconnections, we show the existence of a bosonic action functional for the standard K-cycle… Expand
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