3 citations · 6 across the 7 of their papers we have counts for
7 papers
Constructing a Gröbner basis of Griffin's ideal
Tianyi Yu
In his Ph.D. thesis, Sean Griffin introduced a family of ideals and found monomial bases for their quotient rings. These rings simultaneously generalize the Delta Conjecture coinva…
Connection between Schubert polynomials and top Lascoux polynomials
Tianyi Yu
Schubert polynomials form a basis of the polynomial ring. This basis and its structure constants have received extensive study. Recently, Pan and Yu initiated the study of top Lasc…
Top-degree components of Grothendieck and Lascoux polynomials
Jianping Pan, Tianyi Yu
The Castelnuovo-Mumford polynomial with is the highest homogeneous component of the Grothendieck polynomial . Pechenik, Speye…
A row analogue of Hecke column insertion
Daoji Huang, Mark Shimozono, Tianyi Yu
We introduce a new row insertion algorithm on decreasing tableaux and increasing tableaux, generalizing Edelman-Greene (EG) row insertion. Our row insertion algorithm is a nontrivi…
Set-valued tableaux rule for Lascoux polynomials
Tianyi Yu
Lascoux polynomials generalize Grassmannian stable Grothendieck polynomials and may be viewed as K-theoretic analogs of key polynomials. The latter two polynomials have combinatori…
Grothendieck to Lascoux expansions
Mark Shimozono, Tianyi Yu
We establish the conjecture of Reiner and Yong for an explicit combinatorial formula for the expansion of a Grothendieck polynomial into the basis of Lascoux polynomials. This expa…
Harmonic bases for generalized coinvariant algebras
Brendon Rhoades, Tianyi Yu, Zehong Zhao
Let be nonnegative integers and let be a partition of . S. Griffin recently introduced a quotient of the polynomial ring i…