Seminario di algebra e geometria
ore
15:00
presso Seminario II
For an algebraic or geometric object L, its automorphisms form
a group Aut(L). If in addition Aut(L) has a topology, we denote
its identity component by Int(L), and define the quotient group
Out(L) = Aut(L)/Int(L). The members of Int(L) are called inner,
and the remaining are called outer.
Let L be a complex semisimple Lie algebra with Dynkin diagram D.
It is well known that Out(L) = Aut(D). We extend this result to
the real forms of L, and discuss the classification of real forms
up to Int(L). We also consider possible extensions of these results
to contragredient Lie superalgebras.