A hyperoctahedral analogue of the free lie algebra

@article{Bergeron1991AHA,
  title={A hyperoctahedral analogue of the free lie algebra},
  author={Nantel Bergeron},
  journal={J. Comb. Theory, Ser. A},
  year={1991},
  volume={58},
  pages={256-278}
}
  • N. Bergeron
  • Published 1 December 1991
  • Mathematics
  • J. Comb. Theory, Ser. A
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19 Citations
Highly Influential Citations
2
Background Citations
4
Methods Citations
3

19 Citations

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References

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The Orlik-Solomon algebra on the partition lattice and the free Lie algebra
Combinatorics of the Free Lie Algebra and the Symmetric Group
Some Aspects of Groups Acting on Finite Posets
A decomposition of Solomon's descent algebra
Free Differential Calculus, IV. The Quotient Groups of the Lower Central Series
The quotient groups Qn(G) =GnGn+i of the lower central series G = G1 D G, D G, D * * of a finitely generated group G are finitely generated abelian groups. Our object is to develop an algorithm for…
On the action of the symmetric group on the Free Lie Algebra and the partition lattice
Lyndon Words, Free Algebras and Shuffles
A Lyndon word is a primitive word which is minimum in its conjugation class, for the lexicographical ordering. These words have been introduced by Lyndon in order to find bases of the quotients of…
On the Poincaré-Birkhoff-Witt theorem
Broken circuit complexes: Factorizations and generalizations
On the action of the symmetric group on the cohomology of the complement of its reflecting hyperplanes
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