Irreducible maps and bilinear forms

被引：0

作者：

Brenner, S

Butler, MCR ^{[1
]}

King, AD

机构：

[1] Univ Liverpool, Dept Math Sci, Liverpool L69 7ZL, Merseyside, England

[2] Univ Bath, Sch Math Sci, Bath BA2 7AY, Avon, England

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2003年 / 365卷

关键词：

irreducible map; bilinear form; vector field on spheres;

D O I：

10.1016/S0024-3795(02)00404-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Bautista showed in 1982 that the possible multiplicities of indecomposable summands of the domains and ranges of irreducible maps between modules over artin algebras are given by numerical invariants of certain bilinear forms associated with the algebra. We obtain further information about these multiplicities by relating the forms to those studied elsewhere in algebra and geometry. One spectacular result is that the allowable multiplicities for some algebras over the field of real numbers depend on J.F. Adams' determination of the number of linearly independent vector fields on a sphere. (C) 2003 Elsevier Science Inc. All rights reserved.

引用

页码：99 / 105

页数：7

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