27 citations · 71 across the 31 of their papers we have counts for
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math.RA2018
Noncommutative Shifted Symmetric Functions
Robert Laugwitz, Vladimir Retakh
We introduce a ring of noncommutative shifted symmetric functions based on an integer-indexed sequence of shift parameters. Using generating series and quasideterminants, this mult…
math.RA2017★ 1 cited
Algebras of Quasi-Plücker Coordinates are Koszul
Robert Laugwitz, Vladimir Retakh
Motivated by the theory of quasi-determinants, we study non-commutative algebras of quasi-Plücker coordinates. We prove that these algebras provide new examples of non-homogeneous…
math.RA2014★ 2 cited
Koszulness of Enveloping Algebras Associated to Generalized Yang-Baxter Equations
Robert Laugwitz
The universal enveloping algebra of a Lie algebra associated to the classical Yang-Baxter equation was introduced in [BEER06] where it was shown to be Koszul.…