8-periodic complexes 1abelian artinian categories 1categories with duality 1exact sequences 1semilocal algebras 1witt groups 1
From the 1 of 2 linked papers with an AI index.
2 papers
math.KT2026
Categories with conjugation and octagons of Witt groups
David W. Lewis, Jean-Pierre Tignol
The paper develops a categorical construction of 8‑periodic chain complexes of Witt groups for categories with duality and proves exactness of the resulting sequences under specifi…
math.KT2026
A new proof of the Artin-Springer theorem in Schur index 2
Anne Quéguiner-Mathieu, Jean-Pierre Tignol
We provide a new proof of the analogue of the Artin-Springer theorem for groups of type that can be represented by similitudes over an algebra of Schur index : an a…