Zobrazeno 1 - 10
of 243
pro vyhledávání: '"yong, Alexander"'
Autor:
Stelzer, Ada, Yong, Alexander
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 coordinate ring of matrices.
Comment: 36 pages
Comment: 36 pages
Externí odkaz:
http://arxiv.org/abs/2410.23009
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 multiplicities of their irreducibles? When the Levi group is a torus,
Externí odkaz:
http://arxiv.org/abs/2403.09938
Autor:
Stelzer, Ada, Yong, Alexander
An algorithm is presented that generates sets of size equal to the degree of a given variety defined by a homogeneous ideal. This algorithm suggests a versatile framework to study various problems in combinatorial algebraic geometry and related field
Externí odkaz:
http://arxiv.org/abs/2306.00737
Autor:
Stelzer, Ada, Yong, Alexander
Abhyankar defined an ideal to be Hilbertian if its Hilbert polynomial coincides with its Hilbert function for all nonnegative integers. In 1984, he proved that the ideal of (r+1)-order minors of a generic p x q matrix is Hilbertian. We give a differe
Externí odkaz:
http://arxiv.org/abs/2305.12558
Publikováno v:
Adv. Math. 439 (2024), Paper No. 109486, 14 pp
We prove a short, root-system uniform, combinatorial classification of Levi-spherical Schubert varieties for any generalized flag variety $G/B$ of finite Lie type. We apply this to the study of multiplicity-free decompositions of a Demazure module in
Externí odkaz:
http://arxiv.org/abs/2305.00555
Autor:
Woo, Alexander, Yong, Alexander
This chapter combines an introduction and research survey about Schubert varieties. The theme is to combinatorially classify their singularities using a family of polynomial ideals generated by determinants.
Comment: 58 pages
Comment: 58 pages
Externí odkaz:
http://arxiv.org/abs/2303.01436
Autor:
Dizier, Avery St., Yong, Alexander
Publikováno v:
J. Lond. Math. Soc. (2) 109 (2024), no. 1, Paper No. e12832, 22 pp
A minimal presentation of the cohomology ring of the flag manifold $GL_n/B$ was given in [A. Borel, 1953]. This presentation was extended by [E. Akyildiz-A. Lascoux-P. Pragacz, 1992] to a non-minimal one for all Schubert varieties. Work of [Gasharov-
Externí odkaz:
http://arxiv.org/abs/2209.02011
Autor:
Yong, Alexander
We study the Castelnuovo-Mumford regularity of tangent cones of Schubert varieties. Conjectures about this statistic are presented; these are proved for the covexillary case. This builds on work of L. Li and the author on these tangent cones, as well
Externí odkaz:
http://arxiv.org/abs/2202.06362
Autor:
Gao, Shiliang, Yong, Alexander
Explicit minimal generators for Fulton's Schubert determinantal ideals are determined along with some implications.
Comment: 6 pages
Comment: 6 pages
Externí odkaz:
http://arxiv.org/abs/2201.06522
The Newell-Littlewood numbers are tensor product multiplicities of Weyl modules for the classical groups in the stable range. Littlewood-Richardson coefficients form a special case. Klyachko connected eigenvalues of sums of Hermitian matrices to the
Externí odkaz:
http://arxiv.org/abs/2107.03152