Bruhat decompositions and Schubert varieties
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 plu...
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2009
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ndltd-UBC-oai-circle.library.ubc.ca-2429-49442018-01-05T17:32:19Z Bruhat decompositions and Schubert varieties Li, Qing 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. Science, Faculty of Mathematics, Department of Graduate 2009-02-23T21:16:34Z 2009-02-23T21:16:34Z 1994 1994-05 Text Thesis/Dissertation http://hdl.handle.net/2429/4944 eng 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. 1243887 bytes application/pdf |
| collection |
NDLTD |
| language |
English |
| format |
Others
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| sources |
NDLTD |
| 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. === Science, Faculty of === Mathematics, Department of === Graduate |
| author |
Li, Qing |
| spellingShingle |
Li, Qing Bruhat decompositions and Schubert varieties |
| author_facet |
Li, Qing |
| author_sort |
Li, Qing |
| title |
Bruhat decompositions and Schubert varieties |
| title_short |
Bruhat decompositions and Schubert varieties |
| title_full |
Bruhat decompositions and Schubert varieties |
| title_fullStr |
Bruhat decompositions and Schubert varieties |
| title_full_unstemmed |
Bruhat decompositions and Schubert varieties |
| title_sort |
bruhat decompositions and schubert varieties |
| publishDate |
2009 |
| url |
http://hdl.handle.net/2429/4944 |
| work_keys_str_mv |
AT liqing bruhatdecompositionsandschubertvarieties |
| _version_ |
1718586967710498816 |