Higher Bruhat orders of types B and C
We propose versions of higher Bruhat orders for types B and C . This is based on a theory of higher Bruhat orders of type A and their geometric interpretations (due to Manin–Shekhtman, Voevodskii–Kapranov, and Ziegler), and on our study of the so-called symmetric cubillages of cyclic zonotopes.
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| Veröffentlicht in: | Journal of algebraic combinatorics 2024, Vol.60 (1), p.241-264 |
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| container_issue | 1 |
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| container_title | Journal of algebraic combinatorics |
| container_volume | 60 |
| creator | Danilov, Vladimir I. Karzanov, Alexander V. Koshevoy, Gleb A. |
| description | We propose versions of higher Bruhat orders for types
B
and
C
. This is based on a theory of higher Bruhat orders of type A and their geometric interpretations (due to Manin–Shekhtman, Voevodskii–Kapranov, and Ziegler), and on our study of the so-called symmetric cubillages of cyclic zonotopes. |
| doi_str_mv | 10.1007/s10801-024-01334-x |
| format | Article |
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B
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. This is based on a theory of higher Bruhat orders of type A and their geometric interpretations (due to Manin–Shekhtman, Voevodskii–Kapranov, and Ziegler), and on our study of the so-called symmetric cubillages of cyclic zonotopes.</description><identifier>ISSN: 0925-9899</identifier><identifier>EISSN: 1572-9192</identifier><identifier>DOI: 10.1007/s10801-024-01334-x</identifier><language>eng</language><publisher>New York: Springer US</publisher><subject>Combinatorics ; Computer Science ; Convex and Discrete Geometry ; Group Theory and Generalizations ; Lattices ; Mathematics ; Mathematics and Statistics ; Order ; Ordered Algebraic Structures</subject><ispartof>Journal of algebraic combinatorics, 2024, Vol.60 (1), p.241-264</ispartof><rights>The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c270t-f1fa5cc93513a9b09e252e6755152fe54587b56eb03f75578c08d1c6c1cb68443</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s10801-024-01334-x$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s10801-024-01334-x$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Danilov, Vladimir I.</creatorcontrib><creatorcontrib>Karzanov, Alexander V.</creatorcontrib><creatorcontrib>Koshevoy, Gleb A.</creatorcontrib><title>Higher Bruhat orders of types B and C</title><title>Journal of algebraic combinatorics</title><addtitle>J Algebr Comb</addtitle><description>We propose versions of higher Bruhat orders for types
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B
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C
. This is based on a theory of higher Bruhat orders of type A and their geometric interpretations (due to Manin–Shekhtman, Voevodskii–Kapranov, and Ziegler), and on our study of the so-called symmetric cubillages of cyclic zonotopes.</abstract><cop>New York</cop><pub>Springer US</pub><doi>10.1007/s10801-024-01334-x</doi><tpages>24</tpages></addata></record> |
| fulltext | fulltext |
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| ispartof | Journal of algebraic combinatorics, 2024, Vol.60 (1), p.241-264 |
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| language | eng |
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| source | SpringerNature Journals |
| subjects | Combinatorics Computer Science Convex and Discrete Geometry Group Theory and Generalizations Lattices Mathematics Mathematics and Statistics Order Ordered Algebraic Structures |
| title | Higher Bruhat orders of types B and C |
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