Spin models constructed from Hadamard matrices

Takuya Ikuta; Akihiro Munemasa

doi:10.1007/s12190-012-0547-y

Spin models constructed from Hadamard matrices

Takuya Ikuta, Akihiro Munemasa

INF - Computer and Mathematical Sciences

Kobe Gakuin University

Research output: Contribution to journal › Article › peer-review

Abstract

A spin model (for link invariants) is a square matrix W which satisfies certain axioms. For a spin model W, it is known that W^T W ^-1 is a permutation matrix, and its order is called the index of W. Jaeger and Nomura found spin models of index 2, by modifying the construction of symmetric spin models from Hadamard matrices. The aim of this paper is to give a construction of spin models of an arbitrary even index from any Hadamard matrix. In particular, we show that our spin models of indices a power of 2 are new.

Original language	English
Pages (from-to)	231-248
Number of pages	18
Journal	Journal of Applied Mathematics and Computing
Volume	40
Issue number	1-2
DOIs	https://doi.org/10.1007/s12190-012-0547-y
Publication status	Published - 2012 Oct

Keywords

Association scheme
Hadamard matrix
Spin model

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Spin models constructed from Hadamard matrices

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Keywords

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