Browsing Mathematics (MA) by Advisor "Khare, Apoorva"

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    • 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, ...