Back to Search
Start Over
Zeta functions for tensor products of locally coprime integral adjacency algebras of association schemes.
- Source :
- Communications in Algebra; 2017, Vol. 45 Issue 11, p4896-4905, 10p
- Publication Year :
- 2017
-
Abstract
- The zeta function of an integral lattice Λ is the generating function , whose coefficients count the number of left ideals of Λ of index n. We derive a formula for the zeta function of , where Λ<subscript>1</subscript> and Λ<subscript>2</subscript> are ℤ-orders contained in finite-dimensional semisimple ℚ-algebras that satisfy a "locally coprime" condition. We apply the formula obtained above to ℤS⊗ℤT and obtain the zeta function of the adjacency algebra of the direct product of two finite association schemes (X,S) and (Y,T) in several cases where the ℤ-orders ℤS and ℤT are locally coprime and their zeta functions are known. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00927872
- Volume :
- 45
- Issue :
- 11
- Database :
- Complementary Index
- Journal :
- Communications in Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 124128211
- Full Text :
- https://doi.org/10.1080/00927872.2017.1287268