Exact Sequences of Witt Groups

Nicolas Grenier-Boley (1) , Mohammad Gholamzadeh Mahmoudi (2)

1 UFC - Université de Franche-Comté
2 SUT - Sharif University of Technology [Tehran]

An exact octagon of Witt groups of central simple algebras with involution is constructed , extending an exact sequence of Parimala, Sridharan and Suresh and motivated by exact sequences obtained by Lewis. From this, we derive relations between the cardinal-ity of certain Witt groups. An exact octagon of equivariant Witt groups is also obtained, thus generalizing a similar octagon constructed by Lewis for quaternion algebras.

Domaines: Mathématiques [math]

Nicolas Grenier-Boley, Mohammad Gholamzadeh Mahmoudi. Exact Sequences of Witt Groups. Communications in Algebra, 2005, 33 (4), pp.965-986. ⟨10.1081/AGB-200053791⟩. ⟨hal-01720728⟩