### Abstract

Kirillov and Reshetikhin introduced rigged configurations as a new way to calculate the entries of the Kostka matrix. Macdonald defined the two-parameter Kostka matrix whose entries generalize. We use rigged configurations and a formula of Stembridge to provide a combinatorial interpretation of in the case where is a partition with no more than two columns. In particular, we show that in this case, has nonnegative coefficients.

Original language | English (US) |
---|---|

Pages (from-to) | 2961-2969 |

Number of pages | 9 |

Journal | Proceedings of the American Mathematical Society |

Volume | 123 |

Issue number | 10 |

DOIs | |

State | Published - 1995 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### Cite this

**Statistics for special q, t-kostka polynomials.** / Fishel, Susanna.

Research output: Contribution to journal › Article

*Proceedings of the American Mathematical Society*, vol. 123, no. 10, pp. 2961-2969. https://doi.org/10.1090/S0002-9939-1995-1264811-3

}

TY - JOUR

T1 - Statistics for special q, t-kostka polynomials

AU - Fishel, Susanna

PY - 1995

Y1 - 1995

N2 - Kirillov and Reshetikhin introduced rigged configurations as a new way to calculate the entries of the Kostka matrix. Macdonald defined the two-parameter Kostka matrix whose entries generalize. We use rigged configurations and a formula of Stembridge to provide a combinatorial interpretation of in the case where is a partition with no more than two columns. In particular, we show that in this case, has nonnegative coefficients.

AB - Kirillov and Reshetikhin introduced rigged configurations as a new way to calculate the entries of the Kostka matrix. Macdonald defined the two-parameter Kostka matrix whose entries generalize. We use rigged configurations and a formula of Stembridge to provide a combinatorial interpretation of in the case where is a partition with no more than two columns. In particular, we show that in this case, has nonnegative coefficients.

UR - http://www.scopus.com/inward/record.url?scp=21844486353&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=21844486353&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-1995-1264811-3

DO - 10.1090/S0002-9939-1995-1264811-3

M3 - Article

AN - SCOPUS:21844486353

VL - 123

SP - 2961

EP - 2969

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 10

ER -