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University of Illinois at Urbana-Champaign

The Grothendieck-Cousin complex on G/B x G/B

Abstract

dc:description

In his 1978 paper, The Grothendieck-Cousin complex of an induced representation, G. Kempf computes the Cousin complex corresponding to an induced representation of a reductive algebraic group G. His technique uses the geometry of the homogeneous space G/B, B being a Borel subgroup of G. The complex gives a resolution by B-modules, which easily yields the Weyl character formula.

Degree

thesis:*
Name thesis:degree_name
Ph.D.
Level thesis:degree_level
Dissertation
Discipline thesis:degree_discipline
Mathematics
Grantor
University of Illinois at Urbana-Champaign
Year dc:date
2011

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • LaFramboise, Thomas Louis
Contributors dc:contributor
  • Ullom, Stephen V.

Subjects

dc:subject × 1

Rights

dc:rights
Statement dc:rights
  • Copyright 1995 LaFramboise, Thomas Louis
Language dc:language
eng

Identifiers

dc:identifier.*
Identifier
AAI9624402
(UMI)AAI9624402
OAI identifier oai:identifier
oai:www.ideals.illinois.edu:2142/19729

Chain of custody

source
Harvested from
University of Illinois - Urbana-Champaign
Base URL
www.ideals.illinois.edu/oai-pmh
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

LaFramboise, Thomas Louis. The Grothendieck-Cousin complex on G/B x G/B. Dissertation thesis, University of Illinois at Urbana-Champaign, 2011. http://hdl.handle.net/2142/19729