UNIMODAL POLYNOMIALS ASSOCIATED WITH LIE-ALGEBRAS AND SUPERALGEBRAS

被引：4

作者：

HUGHES, JWB

VANDERJEUGT, J

机构：

[1] QUEEN MARY & WESTFIELD COLL,DEPT MATH,LONDON E1 4NS,ENGLAND

[2] STATE UNIV GHENT,NUMER WISKUNDE INFORMAT LAB,B-9000 GHENT,BELGIUM

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1991年 / 37卷 / 1-3期

关键词：

UNIMODAL POLYNOMIALS; SL(2); LIE ALGEBRAS;

D O I：

10.1016/0377-0427(91)90108-V

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is well known that the theory of Lie algebras can be used to prove the unimodality of certain polynomials. Recently, it was shown that Lie superalgebras also give rise to unimodal polynomials. In this paper, we present a unified approach to the question. We do not discuss the technical details of Lie algebras and superalgebras, but give several old and new examples of unimodal polynomials associated with these structures.

引用

页码：81 / 88

页数：8

共 26 条

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