Converting subalgebra bases with the Sagbi walk
Faculty / School
Faculty of Computer Sciences (FCS)
Department of Mathematical Sciences
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Journal of Symbolic Computation
We present an algorithm which converts a given Sagbi basis of a polynomial K-subalgebra A with respect to one monomial ordering to the Sagbi basis of A with respect to another monomial ordering, under the assumption that the subalgebra A admits a finite Sagbi basis with respect to all monomial orderings. The Sagbi walk method converts a Sagbi basis by partitioning the computations following a path in the Sagbi fan.
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Khan, J. A. (2014). Converting subalgebra bases with the Sagbi walk. Journal of Symbolic Computation, 60, 78-93. Retrieved from https://ir.iba.edu.pk/faculty-research-articles/180