• Positivity preservers forbidden to operate on diagonal blocks 

      Vishwakarma, Prateek Kumar
      The question of which functions acting entrywise preserve positive semidefiniteness has a long history, beginning with the Schur product theorem [Crelle 1911], which implies that absolutely monotonic functions (i.e., ...
    • Weights of highest weight modules over Kac-Moody algebras 

      Krishna Teja, G V
      In this dissertation, broadly, we treat the weight-sets of arbitrary highest weight modules (uniformly) over all general complex Kac-Moody Lie algebras $\mathfrak{g}$, achieving the below. We obtain a uniform, explicit, ...