Proceedings of the Indian Academy of Sciences - Mathematical Sciences

, 100:45

Criterion for smoothness of Schubert varieties in Sl(n)/B


  • V Lakshmibai
    • Mathematics DepartmentNortheastern University
  • B Sandhya
    • Institute of Mathematical Sciences

DOI: 10.1007/BF02881113

Cite this article as:
Lakshmibai, V. & Sandhya, B. Proc. Indian Acad. Sci. (Math. Sci.) (1990) 100: 45. doi:10.1007/BF02881113


LetG=Sl(n) andB, the Borel subgroup ofG consisting of upper triangular matrices. LetwSn andX(w)=BwB(modB), the associated Schubert variety inG/B. In this paper, we give a geometric criterion for the smoothness ofX(w). This criterion admits a neat combinatorial description in terms of the permutationw.


Schubert varietysmoothness, geometric criterion

Copyright information

© Indian Academy of Sciences 1990