The central polynomials for the finite dimensional Grassmann algebras
In this note we describe the central polynomials for the finite dimensional unitary Grassmann algebras \(G_k\) over an infinite field \(F\) of characteristic \(\ne 2\). We exhibit a set of generators of \(C(G_k)\), the T-space of the central polynomials of \(G_k\) in a free associative \(F\)-algebr...
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| Date: | 2018 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Lugansk National Taras Shevchenko University
2018
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| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/788 |
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| Journal Title: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543317801566208 |
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| author | Koshlukov, Plamen Krasilnikov, Alexei da Silva, Elida Alves |
| author_facet | Koshlukov, Plamen Krasilnikov, Alexei da Silva, Elida Alves |
| author_sort | Koshlukov, Plamen |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-04-04T08:43:10Z |
| description | In this note we describe the central polynomials for the finite dimensional unitary Grassmann algebras \(G_k\) over an infinite field \(F\) of characteristic \(\ne 2\). We exhibit a set of generators of \(C(G_k)\), the T-space of the central polynomials of \(G_k\) in a free associative \(F\)-algebra. |
| first_indexed | 2025-12-02T15:27:56Z |
| format | Article |
| id | admjournalluguniveduua-article-788 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:27:56Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-7882018-04-04T08:43:10Z The central polynomials for the finite dimensional Grassmann algebras Koshlukov, Plamen Krasilnikov, Alexei da Silva, Elida Alves polynomial identities, central polynomials, Grassmann algebra 16R10 In this note we describe the central polynomials for the finite dimensional unitary Grassmann algebras \(G_k\) over an infinite field \(F\) of characteristic \(\ne 2\). We exhibit a set of generators of \(C(G_k)\), the T-space of the central polynomials of \(G_k\) in a free associative \(F\)-algebra. Lugansk National Taras Shevchenko University 2018-04-04 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/788 Algebra and Discrete Mathematics; Vol 8, No 3 (2009) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/788/318 Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | polynomial identities central polynomials Grassmann algebra 16R10 Koshlukov, Plamen Krasilnikov, Alexei da Silva, Elida Alves The central polynomials for the finite dimensional Grassmann algebras |
| title | The central polynomials for the finite dimensional Grassmann algebras |
| title_full | The central polynomials for the finite dimensional Grassmann algebras |
| title_fullStr | The central polynomials for the finite dimensional Grassmann algebras |
| title_full_unstemmed | The central polynomials for the finite dimensional Grassmann algebras |
| title_short | The central polynomials for the finite dimensional Grassmann algebras |
| title_sort | central polynomials for the finite dimensional grassmann algebras |
| topic | polynomial identities central polynomials Grassmann algebra 16R10 |
| topic_facet | polynomial identities central polynomials Grassmann algebra 16R10 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/788 |
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