
Frobenius Splittings and B-modules
Wilberd van der Kallen(Author)
Springer (Publisher)
1st Edition
Published on 27. January 1994
Book
Paperback/Softback
X, 98 pages
978-3-540-56672-4 (ISBN)
Description
The course given by the author at the Tata Institute in 1992
explains the solution by O. Mathieu of some conjectures in
the representation theory of arbitrary semisimple algebraic
groups. The conjectures concern filtrations of (tensor
products of) "standard" representations; while Demazure
studied the representations by means of a particular
resolutionof singularities of Schubert varieties, the
method of Mathieu involves sheafcohomology and "Frobenius
splittings" on a Demazure resolution in finite
characteristic p. The notes explain all this, but assume
some familiarity with algebraic varieties and semisimple
algebraic groups (or Liegroups).
explains the solution by O. Mathieu of some conjectures in
the representation theory of arbitrary semisimple algebraic
groups. The conjectures concern filtrations of (tensor
products of) "standard" representations; while Demazure
studied the representations by means of a particular
resolutionof singularities of Schubert varieties, the
method of Mathieu involves sheafcohomology and "Frobenius
splittings" on a Demazure resolution in finite
characteristic p. The notes explain all this, but assume
some familiarity with algebraic varieties and semisimple
algebraic groups (or Liegroups).
More details
Series
Edition
1., Aufl.
Language
English
Place of publication
Berlin
Germany
Target group
College/higher education
Professional and scholarly
for graduate students and researchers in the above fields
Product notice
Paperback (UK-trade)
Dimensions
Height: 216 mm
Width: 138 mm
Weight
220 gr
ISBN-13
978-3-540-56672-4 (9783540566724)
Schweitzer Classification