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Journal Article

The Néron-Severi Lie algebra of a Soergel module

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Patimo,  Leonardo
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1007/s00031-017-9448-3
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Citation

Patimo, L. (2018). The Néron-Severi Lie algebra of a Soergel module. Transformation Groups, 23(4), 1063-1089. doi:10.1007/s00031-017-9448-3.


Cite as: https://hdl.handle.net/21.11116/0000-0004-41D4-3
Abstract
We introduce the Néron-Severi Lie algebra of a Soergel module and we determine it for a large class of Schubert varieties. This is achieved by investigating which Soergel modules admit a tensor decomposition. We also use the Néron-Severi
Lie algebra to provide an easy proof of the well-known fact that a Schubert variety is
rationally smooth if and only if its Betti numbers satisfy Poincaré duality.