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Matematicheskie Zametki, 2016, Volume 99, Issue 6, Pages 897–903
DOI: https://doi.org/10.4213/mzm11011 (Mi mzm11011) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Irreducible Characters of Hadamard Algebras

D. N. Ivanovab

a Tver State University
b Tver InnoCentre
Full-text PDF (432 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm11011
Abstract: The notion of Hadamard decomposition of a semisimple associative finite-dimensional complex algebra generalizes the notion of classical Hadamard matrix, which corresponds to the case of commutative algebras. The algebras admitting Hadamard decompositions are called Hadamard algebras. A relation for the values of an irreducible character of a Hadamard algebra on the products of involutions forming an orthogonal basis of the algebra is obtained. This relation is then applied to describe the Hadamard decompositions in an algebra of dimension 8.
Keywords: Hadamard algebra, Hadamard decomposition, Hadamard matrix, irreducible character.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00234a
This work was supported by the Russian Foundation for Basic Research under grant no. 13-01-00234a.
Received: 21.10.2015
English version:
Mathematical Notes, 2016, Volume 99, Issue 6, Pages 879–885
DOI: https://doi.org/10.1134/S0001434616050266
Bibliographic databases:
Document Type: Article
UDC: 512.55+519.1
Language: Russian
Citation: D. N. Ivanov, “Irreducible Characters of Hadamard Algebras”, Mat. Zametki, 99:6 (2016), 897–903; Math. Notes, 99:6 (2016), 879–885
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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