A Quantization of a theorem of Goulden and Jackson
A theorem of Goulden and Jackson which gives interesting formulae for character immanants also implies MacMahon's Master Theorem. We quantize Goulden and Jackson's theorem to give formulae for quantum character immanants in such a way as to obtain a known quantization of MacMahon's Ma...
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| Format: | Article |
| Language: | English |
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Discrete Mathematics & Theoretical Computer Science
2008-01-01
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| Series: | Discrete Mathematics & Theoretical Computer Science |
| Subjects: | |
| Online Access: | https://dmtcs.episciences.org/3621/pdf |
| _version_ | 1797270389827567616 |
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| author | Matjaž Konvalinka Mark Skandera |
| author_facet | Matjaž Konvalinka Mark Skandera |
| author_sort | Matjaž Konvalinka |
| collection | DOAJ |
| description | A theorem of Goulden and Jackson which gives interesting formulae for character immanants also implies MacMahon's Master Theorem. We quantize Goulden and Jackson's theorem to give formulae for quantum character immanants in such a way as to obtain a known quantization of MacMahon's Master Theorem due to Garoufalidis-Lê-Zeilberger. In doing so, we also quantize formulae of Littlewood, Merris and Watkins concerning induced character immanants. |
| first_indexed | 2024-04-25T02:03:30Z |
| format | Article |
| id | doaj.art-f01b3f32ac444c6681f31622530e3e5a |
| institution | Directory Open Access Journal |
| issn | 1365-8050 |
| language | English |
| last_indexed | 2024-04-25T02:03:30Z |
| publishDate | 2008-01-01 |
| publisher | Discrete Mathematics & Theoretical Computer Science |
| record_format | Article |
| series | Discrete Mathematics & Theoretical Computer Science |
| spelling | doaj.art-f01b3f32ac444c6681f31622530e3e5a2024-03-07T14:38:06ZengDiscrete Mathematics & Theoretical Computer ScienceDiscrete Mathematics & Theoretical Computer Science1365-80502008-01-01DMTCS Proceedings vol. AJ,...Proceedings10.46298/dmtcs.36213621A Quantization of a theorem of Goulden and JacksonMatjaž Konvalinka0https://orcid.org/0000-0002-0739-6744Mark Skandera1Department of Mathematics [MIT]Lehigh University [Bethlehem]A theorem of Goulden and Jackson which gives interesting formulae for character immanants also implies MacMahon's Master Theorem. We quantize Goulden and Jackson's theorem to give formulae for quantum character immanants in such a way as to obtain a known quantization of MacMahon's Master Theorem due to Garoufalidis-Lê-Zeilberger. In doing so, we also quantize formulae of Littlewood, Merris and Watkins concerning induced character immanants.https://dmtcs.episciences.org/3621/pdfimmanantshecke algebra[math.math-co] mathematics [math]/combinatorics [math.co][info.info-dm] computer science [cs]/discrete mathematics [cs.dm] |
| spellingShingle | Matjaž Konvalinka Mark Skandera A Quantization of a theorem of Goulden and Jackson Discrete Mathematics & Theoretical Computer Science immanants hecke algebra [math.math-co] mathematics [math]/combinatorics [math.co] [info.info-dm] computer science [cs]/discrete mathematics [cs.dm] |
| title | A Quantization of a theorem of Goulden and Jackson |
| title_full | A Quantization of a theorem of Goulden and Jackson |
| title_fullStr | A Quantization of a theorem of Goulden and Jackson |
| title_full_unstemmed | A Quantization of a theorem of Goulden and Jackson |
| title_short | A Quantization of a theorem of Goulden and Jackson |
| title_sort | quantization of a theorem of goulden and jackson |
| topic | immanants hecke algebra [math.math-co] mathematics [math]/combinatorics [math.co] [info.info-dm] computer science [cs]/discrete mathematics [cs.dm] |
| url | https://dmtcs.episciences.org/3621/pdf |
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