76 citations
2 papers
math.RT2004★ 76 cited
Derived equivalences for symmetric groups and sl\_2-categorification
Joseph Chuang, Raphael Rouquier
We define and study sl\_2-categorifications on abelian categories. We show in particular that there is a self-derived (even homotopy) equivalence categorifying the adjoint action o…
quant-ph2003★ 8 cited
Notes on Hallgren's efficient quantum algorithm for solving Pell's equation
Richard Jozsa
Pell's equation is x^2-d*y^2=1 where d is a square-free integer and we seek positive integer solutions x,y>0. Let (x',y') be the smallest solution (i.e. having smallest A=x'+y'sqrt…