Access

You are not currently logged in.

Access your personal account or get JSTOR access through your library or other institution:

login

Log in to your personal account or through your institution.

If You Use a Screen Reader

This content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.

Universal Filtration of Schur Complexes

Giandomenico Boffi
Proceedings of the American Mathematical Society
Vol. 119, No. 2 (Oct., 1993), pp. 351-355
DOI: 10.2307/2159914
Stable URL: http://www.jstor.org/stable/2159914
Page Count: 5
  • Read Online (Free)
  • Download ($30.00)
  • Subscribe ($19.50)
  • Cite this Item
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Universal Filtration of Schur Complexes
Preview not available

Abstract

The Schur complex Lλ/μφ has proved useful in studying resolutions of determinantal ideals, both in characteristic zero and in a characteristic-free setting. We show here that in every characteristic, Lλ/μφ is isomorphic, up to a filtration, to a sum of Schur complexes ∑ν γ(λ/μ; ν)Lνφ, where γ(λ/μ; ν) is the usual Littlewood-Richardson coefficient. This generalizes a well-known direct sum decomposition of Lλ/μφ in characteristic zero.

Page Thumbnails

  • Thumbnail: Page 
351
    351
  • Thumbnail: Page 
352
    352
  • Thumbnail: Page 
353
    353
  • Thumbnail: Page 
354
    354
  • Thumbnail: Page 
355
    355