8 citations · 11 across the 2 of their papers we have counts for
3 papers
math.RA2018
The structure monoid and algebra of a non-degenerate set-theoretic solution of the Yang-Baxter equation
Eric Jespers, Łukasz Kubat, Arne Van Antwerpen
For a finite involutive non-degenerate solution of the Yang--Baxter equation it is known that the structure monoid is a monoid of I-type, and the structure algebra…
math.CO2017★ 8 cited
A note on identities in plactic monoids and monoids of upper-triangular tropical matrices
Alan J. Cain, Georg Klein, Łukasz Kubat +2
This paper uses the combinatorics of Young tableaux to prove the plactic monoid of infinite rank does not satisfy a non-trivial identity, by showing that the plactic monoid of rank…
math.RA2010★ 3 cited
Grobner-Shirshov bases for plactic algebras
Lukasz Kubat, Jan Okninski
A finite Grobner-Shirshov basis is constructed for the plactic algebra of rank 3 over a field K. It is also shown that plactic algebras of rank exceeding 3 do not have finite Grobn…