A note on the reducedness and Gröbner bases of Specht ideals

DOI10.1080/00927872.2022.2085288zbMath1502.13048arXiv2111.05525OpenAlexW3212907794MaRDI QIDQ5038120

Satoshi Murai, Hidefumi Ohsugi, Kohji Yanagawa

Publication date: 29 September 2022

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.05525

zbMATH Keywords

Gröbner basesSpecht ideals

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Configurations and arrangements of linear subspaces (14N20) Combinatorial aspects of commutative algebra (05E40)

Related Items (3)

Gröbner Bases of Radical Li–Li Type Ideals Associated with Partitions ⋮ New directions in real algebraic geometry. Abstracts from the workshop held March 19--24, 2023 ⋮ The poset of Specht ideals for hyperoctahedral groups

Cites Work

• Independence numbers of graphs and generators of ideals
• Stable sets and polynomials
• Gröbner bases and graph colorings
• Symmetric ideals, Specht polynomials and solutions to symmetric systems of equations
• Regularity of Cohen-Macaulay Specht ideals
• Jack polynomials as fractional quantum Hall states and the Betti numbers of the \((k+1)\)-equals ideal
• On Cohen–Macaulayness ofS_n-Invariant Subspace Arrangements
• Binomial Ideals
• SUBSPACE ARRANGEMENTS DEFINED BY PRODUCTS OF LINEAR FORMS
• PRINCIPAL RADICAL SYSTEMS, LEFSCHETZ PROPERTIES, AND PERFECTION OF SPECHT IDEALS OF TWO-ROWED PARTITIONS

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