Isomorphisms of discriminant algebras
Keyword(s):
For each integer [Formula: see text], we define a category whose objects are discriminant algebra functors in rank [Formula: see text], namely, choices of how to attach functorially to each rank-[Formula: see text] algebra a quadratic algebra with the same discriminant. We show that the discriminant algebra functors defined by Loos, Rost, and the present authors are all isomorphic in this category, and prove furthermore that in ranks [Formula: see text] discriminant algebra functors are unique up to unique isomorphism.
1927 ◽
Vol 33
(2)
◽
pp. 221-232
Keyword(s):
Keyword(s):
2014 ◽
Vol 29
(06)
◽
pp. 1450028
◽
2014 ◽
Vol 12
(05)
◽
pp. 583-612
◽
Keyword(s):
2011 ◽
Vol 22
(3)
◽
pp. 447-447
1997 ◽
Vol 12
(05)
◽
pp. 891-901
◽
Keyword(s):
1992 ◽
Vol 25
(22)
◽
pp. L1233-L1238
◽