30 citations · 416 across the 73 of their papers we have counts for
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math.RA2016
A Carlitz-von Staudt type theorem for finite rings
Apoorva Khare, Akaki Tikaradze
We compute the th power-sums (for all ) over an arbitrary finite unital ring . This unifies and extends the work of Brawley, Carlitz, and Levine for matrix rings [Duke M…
math.RA2016
Generalized nil-Coxeter algebras over discrete complex reflection groups
Apoorva Khare
We define and study generalized nil-Coxeter algebras associated to Coxeter groups. Motivated by a question of Coxeter (1957), we construct the first examples of such finite-dimensi…
math.RA2016★ 5 cited
Generalized nil-Coxeter algebras, cocommutative algebras, and the PBW property
Apoorva Khare
Poincare-Birkhoff-Witt (PBW) Theorems have attracted significant attention since the work of Drinfeld (1986), Lusztig (1989), and Etingof-Ginzburg (2002) on deformations of skew gr…