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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| Format: | Others |
| Language: | English |
| Published: |
2009
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| Online Access: | http://hdl.handle.net/2429/4944 |
| Summary: | 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 |
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