4 papers
Gröbner crystal structures
Abigail Price, Ada Stelzer, Alexander Yong
We develop a theory of bicrystalline ideals, synthesizing Gröbner basis techniques and Kashiwara's crystal theory. This provides a unified algebraic, combinatorial, and computation…
RSK as a linear operator
Ada Stelzer, Alexander Yong
The Robinson-Schensted-Knuth correspondence (RSK) is a bijection between nonnegative integer matrices and pairs of Young tableaux. We study it as a linear operator on the coordinat…
Representations from matrix varieties, and filtered RSK
Abigail Price, Ada Stelzer, Alexander Yong
Matrix Schubert varieties (Fulton '92) carry natural actions of Levi groups. Their coordinate rings are thereby Levi-representations; what is a combinatorial counting rule for the…
Convergence and divergence of Kleinian punctured torus groups
Kentaro Ito
In this paper we give a necessary and sufficient condition in which a sequence of Kleinian punctured torus groups converges. This result tells us that every exotically convergent s…