On two notions of total positivity for generalized partial flag
varieties of classical Lie types
On two notions of total positivity for generalized partial flag
varieties of classical Lie types
For Grassmannians, Lusztig's notion of total positivity coincides with positivity of the Plucker coordinates. This coincidence underpins the rich interaction between matroid theory, tropical geometry, and the theory of total positivity. Bloch and Karp furthermore characterized the (type A) partial flag varieties for which the two notions positivity similarly coincide. …