A Poincare-birkhoff-witt Theorem for Quadratic Algebras with Group Actions

@inproceedings{Shepler2012APT,
  title={A Poincare-birkhoff-witt Theorem for Quadratic Algebras with Group Actions},
  author={Anne V. Shepler and Sarah Witherspoon},
  year={2012}
}
Braverman, Gaitsgory, Polishchuk, and Positselski gave necessary and sufficient conditions for a nonhomogeneous quadratic algebra to satisfy the Poincaré-Birkhoff-Witt property when its homogeneous version is Koszul. We widen their viewpoint and consider a quotient of an algebra that is free over some (not necessarily semisimple) subalgebra. We show that their theorem holds under a weaker hypothesis: We require the homogeneous version of the nonhomogeneous quadratic algebra to be the skew group… CONTINUE READING

From This Paper

Topics from this paper.

References

Publications referenced by this paper.
Showing 1-10 of 32 references

Gröbner bases in ring theory, World Scientific Publishing Co. Pte

  • Huishi Li
  • 2012

Deformations of orbifolds with noncommutative linear Poisson structures

  • Gilles Halbout, Jean-Michel Oudom, Xiang Tang
  • Int. Math. Res. Not. IMRN
  • 2011

Universal deformation formulas and braided module algebras

  • Jorge A. Guccione, Juan J. Guccione, Christian Valqui
  • J. Algebra
  • 2011

Similar Papers

Loading similar papers…