CYCLIC HOMOLOGY AND THE DETERMINANT OF THE CARTAN MATRIX

被引:7
作者
IGUSA, K
机构
[1] Mathematics Department, Brandeis University, Waltham
基金
美国国家科学基金会;
关键词
D O I
10.1016/0022-4049(92)90158-C
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We derive a formula relating the Euler characteristic of the relative cyclic homology of the radical of a graded finite-dimensional algebra to the logarithm of the determinant of its graded Cartan matrix. We also obtain a perturbative series which gives the inverse of the determinant of the graded Cartan matrix.
引用
收藏
页码:101 / 119
页数:19
相关论文
共 10 条
[1]  
Apostol T.M., 1976, INTRO ANAL NUMBER TH, DOI DOI 10.1007/978-1-4757-5579-4
[2]  
Bessis D., 1980, ADV APPL MATH, V1, P109, DOI 10.1016/0196-8858(80)90008-1
[3]   A HODGE-TYPE DECOMPOSITION FOR COMMUTATIVE ALGEBRA COHOMOLOGY [J].
GERSTENHABER, M ;
SCHACK, SD .
JOURNAL OF PURE AND APPLIED ALGEBRA, 1987, 48 (03) :229-247
[4]  
HANLON P, 1990, MICH MATH J, V37, P105
[5]  
Harary F., 1973, GRAPHICAL ENUMERATIO
[6]  
Hua L.-K., 1982, INTRO NUMBER THEORY
[7]  
IGUSA K, IN PRESS J ALGEBRA
[8]  
LODAY JL, 1988, CR ACAD SCI I-MATH, V307, P283
[9]  
Nakanishi N., 1971, MATH ITS APPL
[10]  
PENNER RC, 1988, J DIFFER GEOM, V27, P35