Ramanujan complexes of typeÃd
- Cite this article as:
- Lubotzky, A., Samuels, B. & Vishne, U. Isr. J. Math. (2005) 149: 267. doi:10.1007/BF02772543
- 105 Downloads
We define and construct Ramanujan complexes. These are simplicial complexes which are higher dimensional analogues of Ramanujan graphs (constructed in [LPS]). They are obtained as quotients of the buildings of typeÃd−1 associated with PGLd(F) whereF is a local field of positive characteristic.