F. Ardila and A. Postnikov, Combinatorics and geometry of power ideals, Trans. Amer. Math. Soc, vol.362, issue.8, pp.4357-4384, 2010.

F. Ardila and A. Postnikov, Combinatorics and geometry of power ideals": two counterexamples for power ideals of hyperplane arrangements, Trans. Amer. Math. Soc, vol.367, issue.5, pp.3759-3762, 2015.

N. Bergeron, A hyperoctahedral analogue of the free Lie algebra, J. Combin. Theory Ser. A, vol.58, issue.2, pp.256-278, 1991.

A. Berget and B. Rhoades, Extending the parking space, J. Combin. Theory Ser. A, issue.123, pp.43-56, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01229703

M. Douglas, On the cohomology of an arrangement of type B l, J. Algebra, vol.147, issue.2, pp.265-282, 1992.

D. Eisenbud, Commutative algebra. With a view toward algebraic geometry. Graduate Texts in Mathematics, vol.150, 1995.

G. Gaiffi, The actions of S n and S n+1 on the cohomology ring of the coxeter arrangement of type A n+1, Manuscripta Math, vol.91, issue.1, pp.83-94, 1996.

O. Holtz and A. Ron, Zonotopal algebra, Adv. Math, vol.227, issue.2, pp.847-894, 2011.

G. Lehrer and L. Solomon, On the action of the symmetric group on the cohomology of the complement of its reflecting hyperplanes, J. Algebra, vol.104, issue.2, pp.410-424, 1986.

I. G. Macdonald, Symmetric functions and Hall polynomials, 1995.

D. Grayson and M. Stillman, Macaulay2, a software system for research in algebraic geometry. Available at, 2015.

O. Mathieu, Hidden ? n+1 -actions, Comm. Math. Phys, vol.176, issue.2, pp.467-474, 1996.

P. Orlik and L. Solomon, Combinatorics and topology of complements of hyperplanes, Invent. Math, vol.56, issue.2, pp.167-189, 1980.

R. Stanley, Enumerative combinatorics, Cambridge Studies in Advanced Mathematics, vol.1, 2012.

A. Robinson and S. Whitehouse, The tree representation of ? n+1, J. Pure Appl. Algebra, vol.111, issue.1-3, pp.245-253, 1996.

R. Stanley, The Whitehouse Module, 2015.

T. Zaslavsky, The geometry of root systems and signed graphs, Amer. Math. Monthly, vol.88, issue.2, p.88105, 1981.