A generalization of Jaeger-Nomura's Bose Mesner algebra associated to type II matrices
نویسندگان
چکیده
منابع مشابه
Type II Matrices and Their Bose-Mesner Algebras
Type II matrices were introduced in connection with spin models for link invariants. It is known that a pair of Bose-Mesner algebras (called a dual pair) of commutative association schemes are naturally associated with each type II matrix. In this paper, we show that type II matrices whose Bose-Mesner algebras are imprimitive are expressed as so-called generalized tensor products of some type I...
متن کاملBose-Mesner Algebras Related to Type II Matrices and Spin Models
A type II matrix is a square matrix W with non-zero complex entries such that the entrywise quotient of any two distinct rows of W sums to zero. Hadamard matrices and character tables of abelian groups are easy examples, and other examples called spin models and satisfying an additional condition can be used as basic data to construct invariants of links in 3-space. Our main result is the const...
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By choosing a dynamical system with d different couplings, one can rearrange a system based on the graph with given vertex dependent on the dynamical system elements. The relation between the dynamical elements (coupling) is replaced by a relation between the vertexes. Based on the E0 transverse projection operator. We addressed synchronization problem of an array of the linearly coupled map la...
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We determine the Nomura algebras of the type-II matrices belonging to the Bose-Mesner algebra of a conference graph. 1 Type-II Matrices and Nomura Algebras We say that an n × n matrix W with complex entries is type II if W (j, i)(W)(i, j) = 1 n for i, j = 1, . . . , n. So a type-II matrix is invertible and has no zero entry. We use I and J to denote the identity matrix and the matrix of all one...
متن کاملNomura algebras of nonsymmetric Hadamard models
Spin models for link invariants were introduced by Jones [7], and their connection to combinatorics was revealed first in [4]. Jaeger and Nomura [6] constructed nonsymmetric spin models for link invariants from Hadamard matrices, and showed that these models give link invariants which depend nontrivially on link orientation. These models are a modification of the Hadamard model originally const...
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ژورنال
عنوان ژورنال: Annales de l’institut Fourier
سال: 1999
ISSN: 0373-0956
DOI: 10.5802/aif.1704