التفاصيل البيبلوغرافية
| العنوان: |
On the Computation of the Cohomological Invariants of Bott–Samelson Resolutions of Schubert Varieties. |
| المؤلفون: |
Franco, Davide1 (AUTHOR) davide.franco@unina.it |
| المصدر: |
Bulletin of the Iranian Mathematical Society. Aug2024, Vol. 50 Issue 4, p1-17. 17p. |
| مصطلحات موضوعية: |
*HECKE algebras, *POLYNOMIALS, *PRIOR learning |
| مستخلص: |
Let X ⊆ G / B be a Schubert variety in a flag manifold and let π : X ~ → X be a Bott–Samelson resolution of X. In this paper, we prove an effective version of the decomposition theorem for the derived pushforward R π ∗ Q X ~ . As a by-product, we obtain recursive procedure to extract Kazhdan–Lusztig polynomials from the polynomials introduced by Deodhar [7], which does not require prior knowledge of a minimal set. We also observe that any family of equivariant resolutions of Schubert varieties allows to define a new basis in the Hecke algebra and we show a way to compute the transition matrix, from the Kazhdan–Lusztig basis to the new one. [ABSTRACT FROM AUTHOR] |
| قاعدة البيانات: |
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