書誌事項

Lectures on Frobenius splittings and Β-modules

by Wilberd van der Kallen ; notes by S.P. Inamdar

(Lectures on mathematics and physics, Mathemaics ; 84)

Springer, 1993

タイトル別名

Frobenius splittings and Β-modules

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注記

Bibliography: p. 90-92

Includes index

Published for the Tata Institute of Fundamental Research

内容説明・目次

内容説明

The course given by the author at the Tata Institute in 1992explains the solution by O. Mathieu of some conjectures inthe representation theory of arbitrary semisimple algebraicgroups. The conjectures concern filtrations of (tensorproducts of) "standard" representations; while Demazurestudied the representations by means of a particularresolutionof singularities of Schubert varieties, themethod of Mathieu involves sheafcohomology and "Frobeniussplittings" on a Demazure resolution in finitecharacteristic p. The notes explain all this, but assumesome familiarity with algebraic varieties and semisimplealgebraic groups (or Liegroups).

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詳細情報

  • NII書誌ID(NCID)
    BA21982074
  • ISBN
    • 3540566724
  • 出版国コード
    gw
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Berlin ; Heidelberg
  • ページ数/冊数
    x, 98 p.
  • 大きさ
    25 cm
  • 親書誌ID
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