A tightness property of relatively smooth permutations

Erez Lapid

doi:https://doi.org/10.1016/j.jcta.2018.11.014

A tightness property of relatively smooth permutations

Erez Lapid

Department of Mathematics

Weizmann Institute of Science

Research output: Contribution to journal › Article › peer-review

Abstract

It is well known that many geometric properties of Schubert varieties of type A (and others) can be interpreted combinatorially. Given two permutations w, x is an element of S-n we give a combinatorial consequence of the property that the smooth locus of the Schubert variety X-w contains the Schubert cell Y-x. This provides a necessary ingredient for the interpretation of recent representation-theoretic results of the author with Minguez in terms of identities of Kazhdan-Lusztig polynomials. (C) 2018 Elsevier Inc. All rights reserved.

Original language	English
Pages (from-to)	59-84
Number of pages	26
Journal	Journal Of Combinatorial Theory Series A
Volume	163
DOIs	https://doi.org/10.1016/j.jcta.2018.11.014
State	Published - Apr 2019

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics

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https://doi.org/10.1016/j.jcta.2018.11.014

http://arxiv.org/pdf/1710.06115License: Unspecified

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abstract = "It is well known that many geometric properties of Schubert varieties of type A (and others) can be interpreted combinatorially. Given two permutations w, x is an element of S-n we give a combinatorial consequence of the property that the smooth locus of the Schubert variety X-w contains the Schubert cell Y-x. This provides a necessary ingredient for the interpretation of recent representation-theoretic results of the author with Minguez in terms of identities of Kazhdan-Lusztig polynomials. (C) 2018 Elsevier Inc. All rights reserved.",

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AB - It is well known that many geometric properties of Schubert varieties of type A (and others) can be interpreted combinatorially. Given two permutations w, x is an element of S-n we give a combinatorial consequence of the property that the smooth locus of the Schubert variety X-w contains the Schubert cell Y-x. This provides a necessary ingredient for the interpretation of recent representation-theoretic results of the author with Minguez in terms of identities of Kazhdan-Lusztig polynomials. (C) 2018 Elsevier Inc. All rights reserved.

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DO - https://doi.org/10.1016/j.jcta.2018.11.014

M3 - مقالة

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SP - 59

EP - 84

JO - Journal Of Combinatorial Theory Series A

JF - Journal Of Combinatorial Theory Series A

ER -

A tightness property of relatively smooth permutations

Abstract

All Science Journal Classification (ASJC) codes

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