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  • Spinorial representations of Lie Groups 
    JOSHI, ROHIT (Dept. of Mathematics, 2016-08)
    We solve the question: which finite-dimensional irreducible orthogonal representations of connected reductive complex Lie groups lift to the spin group? We have found a criterion in terms of the highest weight of the ...
  • Spinoriality of orthogonal representations of reductive groups 
    JOSHI, ROHIT; SPALLONE, STEVEN (American Mathematical Society, 2020-09)
    Let $ G$ be a connected reductive group over a field $ F$ of characteristic 0, and $ \varphi : G \to \operatorname {SO}(V)$ an orthogonal representation over $ F$. We give criteria to determine when $ \varphi $ lifts to ...
  • Stiefel-Whitney classes of representations of dihedral groups 
    Bhalerao, Sujeet; JOSHI, ROHIT; Malik, Neha (Taylor and Francis, 2025-02)
    We compute the Stiefel-Whitney classes for representations of dihedral groups Dm in terms of character values of order two elements. We also provide criteria to identify representations V that lift to the double covers of ...
  • Divisibility of Character Values of Representations of Coxeter Groups 
    Ganguly, Jyotirmoy; JOSHI, ROHIT (Dominique Foata, 2026)
    Let d be a positive integer. We study the proportion of irreducible characters of infinite families of irreducible Coxeter roups whose values evaluated at a fixed element g are divisible by d. For Coxeter groups of types ...