Skip to main content
SpringerLink
Log in

Schubert Varieties and Free Braidedness

  • Published:
Transformation Groups Aims and scope Submit manuscript

Abstract

We give a simple necessary and sufficient condition for a Schubert variety Xw to be smooth when w is a freely braided element of a simply laced Weyl group; such elements were introduced by the authors in a previous work. This generalizes in one direction a result of Fan concerning varieties indexed by short-braid avoiding elements. We also derive generating functions for the freely braided elements that index smooth Schubert varieties. All results are stated and proved only for the simply laced case.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Colorado, Campus Box 395, Boulder, CO 80309-0395, USA

    R.M. Green

  2. Department of Mathematics, Long Island University, 720 Northern Boulevard, Brookville, NY 11548-1319, USA

    J. Losonczy

Authors
  1. R.M. Green
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. J. Losonczy
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to R.M. Green or J. Losonczy.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Green, R., Losonczy, J. Schubert Varieties and Free Braidedness. Transformation Groups 9, 327–336 (2004). https://doi.org/10.1007/s00031-004-9002-y

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00031-004-9002-y

Keywords

Search

Navigation