Journal of East China Normal University(Natural Sc ›› 2013, Vol. 2013 ›› Issue (1): 76-90.

• Article • Previous Articles     Next Articles

Left-connectedness of left cells in the Weyl Group of type E6

MI Qian-qian, SHI Jian-yi   

  1. Department of Mathematics, East China Normal University, Shanghai 200241, China
  • Received:2012-02-01 Revised:2012-05-01 Online:2013-01-25 Published:2013-01-18

Abstract: We showed that all the left cells in the Weyl group $E_{6}$
were left-connected, verifying a conjecture of Lusztig in our
case.

Key words: Weyl group, left cells, two-sided cells, left-connectedness

CLC Number: