Brauer-Schur functions
A new class of functions is studied. We define the Brauer-Schur functions $B^{(p)}_{\lambda}$ for a prime number $p$, and investigate their properties. We construct a basis for the space of symmetric functions, which consists of products of $p$-Brauer-Schur functions and Schur functions. We will see...
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| Format: | Article |
| Language: | English |
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Discrete Mathematics & Theoretical Computer Science
2009-01-01
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| Series: | Discrete Mathematics & Theoretical Computer Science |
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| Online Access: | https://dmtcs.episciences.org/2730/pdf |
| _version_ | 1797270369230389248 |
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| author | Kazuya Aokage |
| author_facet | Kazuya Aokage |
| author_sort | Kazuya Aokage |
| collection | DOAJ |
| description | A new class of functions is studied. We define the Brauer-Schur functions $B^{(p)}_{\lambda}$ for a prime number $p$, and investigate their properties. We construct a basis for the space of symmetric functions, which consists of products of $p$-Brauer-Schur functions and Schur functions. We will see that the transition matrix from the natural Schur function basis has some interesting numerical properties. |
| first_indexed | 2024-04-25T02:03:10Z |
| format | Article |
| id | doaj.art-a9d74da77952498db615eb90009bc0a3 |
| institution | Directory Open Access Journal |
| issn | 1365-8050 |
| language | English |
| last_indexed | 2024-04-25T02:03:10Z |
| publishDate | 2009-01-01 |
| publisher | Discrete Mathematics & Theoretical Computer Science |
| record_format | Article |
| series | Discrete Mathematics & Theoretical Computer Science |
| spelling | doaj.art-a9d74da77952498db615eb90009bc0a32024-03-07T14:45:40ZengDiscrete Mathematics & Theoretical Computer ScienceDiscrete Mathematics & Theoretical Computer Science1365-80502009-01-01DMTCS Proceedings vol. AK,...Proceedings10.46298/dmtcs.27302730Brauer-Schur functionsKazuya Aokage0Department of MathematicsA new class of functions is studied. We define the Brauer-Schur functions $B^{(p)}_{\lambda}$ for a prime number $p$, and investigate their properties. We construct a basis for the space of symmetric functions, which consists of products of $p$-Brauer-Schur functions and Schur functions. We will see that the transition matrix from the natural Schur function basis has some interesting numerical properties.https://dmtcs.episciences.org/2730/pdfschur functioncompound basistransition matrix[math.math-co] mathematics [math]/combinatorics [math.co][info.info-dm] computer science [cs]/discrete mathematics [cs.dm] |
| spellingShingle | Kazuya Aokage Brauer-Schur functions Discrete Mathematics & Theoretical Computer Science schur function compound basis transition matrix [math.math-co] mathematics [math]/combinatorics [math.co] [info.info-dm] computer science [cs]/discrete mathematics [cs.dm] |
| title | Brauer-Schur functions |
| title_full | Brauer-Schur functions |
| title_fullStr | Brauer-Schur functions |
| title_full_unstemmed | Brauer-Schur functions |
| title_short | Brauer-Schur functions |
| title_sort | brauer schur functions |
| topic | schur function compound basis transition matrix [math.math-co] mathematics [math]/combinatorics [math.co] [info.info-dm] computer science [cs]/discrete mathematics [cs.dm] |
| url | https://dmtcs.episciences.org/2730/pdf |
| work_keys_str_mv | AT kazuyaaokage brauerschurfunctions |