MacMahon partition analysis and the Poincare series of the algebras of invariants of ternary and quaternary forms

被引：3

作者：

Bedratyuk, Leonid ^{[1
]}

Xin, Guoce ^{[2
]}

机构：

[1] Khmelnytsky Natl Univ, Dept Appl Math, UA-29016 Khmelnytsky, Ukraine

[2] Capital Normal Univ, Dept Math, Beijing 100048, Peoples R China

来源：

LINEAR & MULTILINEAR ALGEBRA | 2011年 / 59卷 / 07期

关键词：

classical invariant theory; Poincare series; MacMahon partition analysis; BINARY FORM;

D O I：

10.1080/03081087.2010.536763

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By using MacMahon partition analysis technique, the Poincare series for the algebras of invariants of the ternary and quaternary forms of small degrees are calculated.

引用

页码：789 / 799

页数：11

共 12 条

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[8] MacMahon's partition analysis XIII: Schmidt type partitions and modular forms
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[9] Generating Functions of Weighted Voting Games, MacMahon's Partition Analysis, and Clifford Algebras
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[J]. MATHEMATICS OF OPERATIONS RESEARCH, 2019, 44 (01) : 74 - 101
[10] ANALOG OF THE CAYLEY-SYLVESTER FORMULA AND THE POINCARE SERIES FOR AN ALGEBRA OF INVARIANTS OF TERNARY FORM
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