arXiv subjects

Zachi Evenor

Publications and source records attributed to Zachi Evenor.

2 recordsLinked to original sources

arXiv2017

Solutions of Reeder's Puzzle

In this paper we consider the generalized Reeder's puzzle, introduced by Reeder in 2005 and generalized by Borovoi and Evenor in 2016. We give a detailed solution of the puzzle for the graphs of Dynkin diagrams and affine Dynkin diagrams. We find the number of equivalence classes in each case. We also discuss more general graphs, and prove the main theorem about graphs (simply-laced trees) that contain E_6 as a subgraph.

math.CO↗

arXiv2016

Real homogenous spaces, Galois cohomology, and Reeder puzzles

Let G be a simply connected absolutely simple algebraic group defined over the field of real numbers R. Let H be a simply connected semisimple R-subgroup of G. We consider the homogeneous space X=G/H. We ask: How many connected components has X(R)? We give a method of answering this question. Our method is based on our solutions of generalized Reeder puzzles.

math.GR↗