Complete flagged homogeneous polynomials
Autor: | Ehrhard, Henry |
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Rok vydání: | 2023 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | We introduce a new basis for the polynomial ring which lifts the complete homogeneous symmetric polynomials while retaining representation theoretic significance. Using a specialized RSK algorithm we give an explicit nonnegative expansion into key polynomials and, generalizing the special rim hook tabloids of E\u{g}ecio\u{g}lu and Remmel, give an explicit signed expansion for key polynomials into this new basis. |
Databáze: | arXiv |
Externí odkaz: |