2019/06/08 by Caenepeel, Frederik, Van Oystaeyen, Freddy
#16W60 #16W70 #FOS: Mathematics #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.1906.03411
The glider Brauer-Severy variety GBS(A) of a central simple algebra A over a field K is introduced as the set of all irreducible left glider ideals in A for some filtration FA. For fields we deduce that GBS(K) equals R(K) x Z, the product of the Riemann surface of K and the ring of integers Z. For a csa A over K it turns out that GBS(A) = BS(A) x GBS(K), where BS(A) denotes the classical Brauer-Severi variety of A.