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Bruhat decompositions and Schubert varieties Li, Qing
Abstract
This paper is divided into two parts. In first chapter we give a special C* action on G/ P and show that the associated plus decomposition of this action is the Bruhat decomposition of G/P. Moreover we prove that the set of Schubert varieties of Gk(Cⁿ) is in one to one correspondence with the plus cells of a certain C* action on Gk(Cⁿ). In chapter two we relate partitions to Schubert varieties. Also we relate the ordering of Schubert varieties by inclusion Gk(Cⁿ) to a quotient of the Bruhat ordering on the Weyl group Sn. Several examples have been included.
Item Metadata
Title |
Bruhat decompositions and Schubert varieties
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Creator | |
Publisher |
University of British Columbia
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Date Issued |
1994
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Description |
This paper is divided into two parts. In first chapter we give a special C* action on G/ P
and show that the associated plus decomposition of this action is the Bruhat decomposition
of G/P. Moreover we prove that the set of Schubert varieties of Gk(Cⁿ) is in one
to one correspondence with the plus cells of a certain C* action on Gk(Cⁿ).
In chapter two we relate partitions to Schubert varieties. Also we relate the ordering
of Schubert varieties by inclusion Gk(Cⁿ) to a quotient of the Bruhat ordering on the
Weyl group Sn. Several examples have been included.
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Extent |
1243887 bytes
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Genre | |
Type | |
File Format |
application/pdf
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Language |
eng
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Date Available |
2009-02-23
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Provider |
Vancouver : University of British Columbia Library
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Rights |
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
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DOI |
10.14288/1.0079816
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URI | |
Degree | |
Program | |
Affiliation | |
Degree Grantor |
University of British Columbia
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Graduation Date |
1994-05
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Campus | |
Scholarly Level |
Graduate
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Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.