We prove results on the tangent spaces to Schubert varieties in G/B for G classical. We give a description of the tangent space to a Schubert variety X w at a T -fixed point e ฯ in terms of the root system. We also relate this result to multiplicities of certain weights in the fundamental representa
On Tangent Spaces to Schubert Varieties
โ Scribed by V. Lakshmibai
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 193 KB
- Volume
- 230
- Category
- Article
- ISSN
- 0021-8693
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โฆ Synopsis
We prove the results on the tangent spaces to Schubert varieties announced in w ลฝ . x V. Lakshmibai, Math. Res. Lett. 2 1995 , 473แ477 for G classical. We give two descriptions of the tangent space to a Schubert variety at id. The first description is in terms of the root system, and the second one is in terms of multiplicities of certain weights in the fundamental representations of G. แฎ 2000 Academic Press q 0 yโค โค g ลฝ R .
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