組合せ論セミナー

 


第38回 2013年3月12日 13:00〜14:30

Philip Feinsilver (Southern Illinois University, USA) 「Zeons: Representations on the Boolean lattice」

Zeons are introduced and some basic properties reviewed. Acting on the lattice of subsets of an n-set yields finite-dimensional representations of sl(2) and an orthonormal basis for the Boolean algebra generated by the zeons. Hamming and Johnson schemes appear naturally. Some interesting operator algebras arise as well.