3 papers
math.CO2026
Plane partitions and spin adapted quantum states
Abigail Price, Ada Stelzer, Svala Sverrisdóttir
We describe an explicit basis for the -invariant space of the exterior power via the combinatorics of plane partitions. In quant…
math.RT2025
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 computatio…
math.RT2025
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…