## Abstract

The Hecke algebra of the pair (S_{2n},B_{n}), where B _{n} is the hyperoctahedral subgroup of S_{2n}, was introduced by James in 1961. It is a natural analogue of the center of the symmetric group algebra. In this paper, we give a polynomiality property of its structure coefficients. Our main tool is a combinatorial universal algebra which projects on the Hecke algebra of (S_{2n}, B_{n}) for every n. To build it, we introduce new objects called partial bijections.

Original language | English |
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Pages (from-to) | 551-562 |

Number of pages | 12 |

Journal | Discrete Mathematics and Theoretical Computer Science |

Publication status | Published - 2013 |

Externally published | Yes |

Event | 25th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2013 - Paris, France Duration: Jun 24 2013 → Jun 28 2013 |

## Keywords

- Hecke algebra of (S,B)
- Partial bijections
- Structure coefficients

## ASJC Scopus subject areas

- Theoretical Computer Science
- General Computer Science
- Discrete Mathematics and Combinatorics

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