- Library Home /
- Search Collections /
- Open Collections /
- Browse Collections /
- UBC Theses and Dissertations /
- Bruhat decompositions and Schubert varieties
Open Collections
UBC Theses and Dissertations
UBC Theses and Dissertations
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
|
| Creator | |
| Publisher |
University of British Columbia
|
| Date Issued |
1994
|
| 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.
|
| Extent |
1243887 bytes
|
| Genre | |
| Type | |
| File Format |
application/pdf
|
| Language |
eng
|
| Date Available |
2009-02-23
|
| Provider |
Vancouver : University of British Columbia Library
|
| 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.
|
| DOI |
10.14288/1.0079816
|
| URI | |
| Degree | |
| Program | |
| Affiliation | |
| Degree Grantor |
University of British Columbia
|
| Graduation Date |
1994-05
|
| Campus | |
| Scholarly Level |
Graduate
|
| Aggregated Source Repository |
DSpace
|
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.