Notes on Schubert, Grothendieck and Key Polynomials

We introduce common generalization of (double) Schubert, Grothendieck, Demazure, dual and stable Grothendieck polynomials, and Di Francesco-Zinn-Justin polynomials. Our approach is based on the study of algebraic and combinatorial properties of the reduced rectangular plactic algebra and associated...

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Видавець:Інститут математики НАН України
Дата:2016
Автор: Kirillov, A.N.
Формат: Стаття
Мова:English
Опубліковано: Інститут математики НАН України 2016
Назва видання:Symmetry, Integrability and Geometry: Methods and Applications
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/147725
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Цитувати:Notes on Schubert, Grothendieck and Key Polynomials / A.N. Kirillov // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 72 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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spelling irk-123456789-1477252019-02-16T01:24:55Z Notes on Schubert, Grothendieck and Key Polynomials Kirillov, A.N. We introduce common generalization of (double) Schubert, Grothendieck, Demazure, dual and stable Grothendieck polynomials, and Di Francesco-Zinn-Justin polynomials. Our approach is based on the study of algebraic and combinatorial properties of the reduced rectangular plactic algebra and associated Cauchy kernels. 2016 Article Notes on Schubert, Grothendieck and Key Polynomials / A.N. Kirillov // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 72 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 05E05; 05E10; 05A19 DOI:10.3842/SIGMA.2016.034 http://dspace.nbuv.gov.ua/handle/123456789/147725 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description We introduce common generalization of (double) Schubert, Grothendieck, Demazure, dual and stable Grothendieck polynomials, and Di Francesco-Zinn-Justin polynomials. Our approach is based on the study of algebraic and combinatorial properties of the reduced rectangular plactic algebra and associated Cauchy kernels.
format Article
author Kirillov, A.N.
spellingShingle Kirillov, A.N.
Notes on Schubert, Grothendieck and Key Polynomials
Symmetry, Integrability and Geometry: Methods and Applications
author_facet Kirillov, A.N.
author_sort Kirillov, A.N.
title Notes on Schubert, Grothendieck and Key Polynomials
title_short Notes on Schubert, Grothendieck and Key Polynomials
title_full Notes on Schubert, Grothendieck and Key Polynomials
title_fullStr Notes on Schubert, Grothendieck and Key Polynomials
title_full_unstemmed Notes on Schubert, Grothendieck and Key Polynomials
title_sort notes on schubert, grothendieck and key polynomials
publisher Інститут математики НАН України
publishDate 2016
url http://dspace.nbuv.gov.ua/handle/123456789/147725
citation_txt Notes on Schubert, Grothendieck and Key Polynomials / A.N. Kirillov // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 72 назв. — англ.
series Symmetry, Integrability and Geometry: Methods and Applications
work_keys_str_mv AT kirillovan notesonschubertgrothendieckandkeypolynomials
first_indexed 2023-05-20T17:28:09Z
last_indexed 2023-05-20T17:28:09Z
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