GBNP, A GAP package for Gröbner bases of noncommutative polynomials. The GBNP package provides algorithms for computing Grobner bases of noncommutative polynomials with coefficients from a field implemented in GAP and with respect to the ”total degree first then lexicographical” ordering. Further provided are some variations, such as a weighted and truncated version and a tracing facility. The word ”algorithm” is to be interpreted loosely here: in general one cannot expect such an algorithm to terminate, as it would imply solvability of the word problem for finitely presented (semi)groups.

References in zbMATH (referenced in 14 articles )

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  1. García Iglesias, Agustín; Vay, Cristian: Copointed Hopf algebras over $\mathbbS_4$ (2018)
  2. García Iglesias, Agustín; Giraldi, João Matheus Jury: Liftings of Nichols algebras of diagonal type III. Cartan type $G_2$ (2017)
  3. Grishkov, A.; Nunes, R.; Sidki, S.: On groups with cubic polynomial conditions. (2015)
  4. Andruskiewitsch, Nicolás; Angiono, Iván; García Iglesias, Agustín; Masuoka, Akira; Vay, Cristian: Lifting via cocycle deformation. (2014)
  5. García Iglesias, Agustín; Vay, Cristian: Finite-dimensional pointed or copointed Hopf algebras over affine racks. (2014)
  6. Levandovskyy, Viktor; Shepler, Anne V.: Quantum Drinfeld Hecke algebras. (2014)
  7. Heckenberger, I.; Lochmann, A.; Vendramin, L.: Braided racks, Hurwitz actions and Nichols algebras with many cubic relations. (2012)
  8. Graña, M.; Heckenberger, I.; Vendramin, L.: Nichols algebras of group type with many quadratic relations. (2011)
  9. in ’t panhuis, Jos; Postma, Erik; Roozemond, Dan: Extremal presentations for classical Lie algebras (2009)
  10. La Scala, Roberto; Levandovskyy, Viktor: Letterplace ideals and non-commutative Gröbner bases. (2009)
  11. Cohen, Arjeh M.; Ivanyos, Gábor; Roozemond, Dan: Simple Lie algebras having extremal elements (2008)
  12. Levandovskyy, Viktor: Plural, a non-commutative extension of Singular: past, present and future. (2006)
  13. Cohen, Arjeh M.; Gijsbers, Dié A.H.; Wales, David B.: BMW algebras of simply laced type. (2005)
  14. Baur, Karin; Draisma, Jan: Higher secant varieties of the minimal adjoint orbit (2004)