Inner form

In mathematics, an (equivalence class of an) inner form of an algebraic group G over a field K is another algebraic group associated to an element of H¹(Gal(K/K), Inn(G)) where Inn(G) is the group of inner automorphisms of G.

References

• Tits, Jacques (1966), "Classification of algebraic semisimple groups", in Borel, Armand; Mostow, George D. (eds.), Algebraic Groups and Discontinuous Subgroups (Proc. Sympos. Pure Math., Boulder, Colo., 1965), Providence, R.I.: American Mathematical Society, pp. 33–62, ISBN 978-0-8218-1409-3, MR 0224710