$T$-root systems of exceptional flag manifolds. Classification and invariants

Abstract

We classify the systems of $T$-roots of the flag manifolds $M$ of the exceptional compact simple Lie groups with the second Betti number $b_2(M)\ge 2$.

27 pages, 6 tables. Introduction and new references added

References in corpus (1)

• On invariant Einstein metrics on Kähler homogeneous spaces $S{U}_4/T^3$, $G_2/T^2$, $E_6/T^2(A_2{)}^2$, $E_7/T^2{A}_5$, $E_8/T^2{E}_6$, $F_4/T^2{A}_2$