Noncommutative Symmetric Hall-Littlewood Polynomials
Noncommutative symmetric functions have many properties analogous to those of classical (commutative) symmetric functions. For instance, ribbon Schur functions (analogs of the classical Schur basis) expand positively in noncommutative monomial basis. More of the classical properties extend to noncom...
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| Format: | Article |
| Language: | English |
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Discrete Mathematics & Theoretical Computer Science
2011-01-01
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| Series: | Discrete Mathematics & Theoretical Computer Science |
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| Online Access: | https://dmtcs.episciences.org/2964/pdf |
| _version_ | 1797270386196348928 |
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| author | Lenny Tevlin |
| author_facet | Lenny Tevlin |
| author_sort | Lenny Tevlin |
| collection | DOAJ |
| description | Noncommutative symmetric functions have many properties analogous to those of classical (commutative) symmetric functions. For instance, ribbon Schur functions (analogs of the classical Schur basis) expand positively in noncommutative monomial basis. More of the classical properties extend to noncommutative setting as I will demonstrate introducing a new family of noncommutative symmetric functions, depending on one parameter. It seems to be an appropriate noncommutative analog of the Hall-Littlewood polynomials. |
| first_indexed | 2024-04-25T02:03:26Z |
| format | Article |
| id | doaj.art-e20a9df6f0244f79b8c874b71da8d24c |
| institution | Directory Open Access Journal |
| issn | 1365-8050 |
| language | English |
| last_indexed | 2024-04-25T02:03:26Z |
| publishDate | 2011-01-01 |
| publisher | Discrete Mathematics & Theoretical Computer Science |
| record_format | Article |
| series | Discrete Mathematics & Theoretical Computer Science |
| spelling | doaj.art-e20a9df6f0244f79b8c874b71da8d24c2024-03-07T14:49:33ZengDiscrete Mathematics & Theoretical Computer ScienceDiscrete Mathematics & Theoretical Computer Science1365-80502011-01-01DMTCS Proceedings vol. AO,...Proceedings10.46298/dmtcs.29642964Noncommutative Symmetric Hall-Littlewood PolynomialsLenny Tevlin0New York University [New York]Noncommutative symmetric functions have many properties analogous to those of classical (commutative) symmetric functions. For instance, ribbon Schur functions (analogs of the classical Schur basis) expand positively in noncommutative monomial basis. More of the classical properties extend to noncommutative setting as I will demonstrate introducing a new family of noncommutative symmetric functions, depending on one parameter. It seems to be an appropriate noncommutative analog of the Hall-Littlewood polynomials.https://dmtcs.episciences.org/2964/pdfsymmetric functions[math.math-co] mathematics [math]/combinatorics [math.co][info.info-dm] computer science [cs]/discrete mathematics [cs.dm] |
| spellingShingle | Lenny Tevlin Noncommutative Symmetric Hall-Littlewood Polynomials Discrete Mathematics & Theoretical Computer Science symmetric functions [math.math-co] mathematics [math]/combinatorics [math.co] [info.info-dm] computer science [cs]/discrete mathematics [cs.dm] |
| title | Noncommutative Symmetric Hall-Littlewood Polynomials |
| title_full | Noncommutative Symmetric Hall-Littlewood Polynomials |
| title_fullStr | Noncommutative Symmetric Hall-Littlewood Polynomials |
| title_full_unstemmed | Noncommutative Symmetric Hall-Littlewood Polynomials |
| title_short | Noncommutative Symmetric Hall-Littlewood Polynomials |
| title_sort | noncommutative symmetric hall littlewood polynomials |
| topic | symmetric functions [math.math-co] mathematics [math]/combinatorics [math.co] [info.info-dm] computer science [cs]/discrete mathematics [cs.dm] |
| url | https://dmtcs.episciences.org/2964/pdf |
| work_keys_str_mv | AT lennytevlin noncommutativesymmetrichalllittlewoodpolynomials |