Spinor structures on free resolutions of codimension four Gorenstein ideals

arXiv1912.07510MaRDI QIDQ6144562

Jai Laxmi, Jerzy Weyman, Ela Celikbas

Publication date: 5 January 2024

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.07510

Mathematics Subject Classification ID

Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Clifford algebras, spinors (15A66) Quadratic and bilinear forms, inner products (15A63) Regular local rings (13H05)

Cites Work

• Pfaffians and shuffling relations for the spin module
• Constructing big Gorenstein ideals from small ones
• Algebra structures on minimal resolutions of Gorenstein rings of embedding codimension four
• Some structure theorems for finite free resolutions
• Overlapping Pfaffians
• Standard monomial theory. Invariant theoretic approach
• What makes a complex exact?
• Gorenstein in codimension 4 - the general structure theory
• Deformation and Linkage of Gorenstein Algebras
• Symmetry, Representations, and Invariants
• A family of complexes associated to an almost alternating map, with applications to residual intersections
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
• Three Takes on Almost Complete Intersection Ideals of Grade 3
• The family of perfect ideals of codimension 3, of type 2 with 5 generators
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