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math.RA2012
Classification of factorial generalized down-up algebras
Stéphane Launois, Samuel A. Lopes
We determine when a generalized down-up algebra is a Noetherian unique factorisation domain or a Noetherian unique factorisation ring.
math.RA2012
Efficient recognition of totally nonnegative matrix cells
S. Launois, T. H. Lenagan
The space of mxp totally nonnegative real matrices has a stratification into totally nonnegative cells. The largest such cell is the space of totally positive matrices. There is a…