Jordan algebras arising from intermolecular recombination-Reference-Cited by-同舟云学术

Jordan algebras arising from intermolecular recombination

Published:2005-12 Issue:4 Volume:39 Page:106-117
ISSN:0163-5824
Container-title:ACM SIGSAM Bulletin
language:en
Short-container-title:SIGSAM Bull.

Author:

Bremner Murray R.¹

Affiliation:

1. University of Saskatchewan, Saskatoon, SK, Canada

Abstract

We use computer algebra to show that a linearization of the operation of intermolecular recombination from theoretical genetics satisfies a nonassociative polynomial identity of degree 4 which implies the Jordan identity. We use the representation theory of the symmetric group to decompose this new identity into its irreducible components. We show that this new identity implies all the identities of degree ≤ 6 satisfied by intermolecular recombination.

Publisher

Association for Computing Machinery (ACM)

Link

https://dl.acm.org/doi/pdf/10.1145/1140378.1140380

Reference11 articles.

1. Varieties of Anticommutativen-ary Algebras

2. M. R. Bremner DNA computing insertion of words and left-symmetric algebras pages 229--242 of Proceedings of Maple Conference 2005 (July 17--20 2005 Waterloo Ontario Canada) edited by Ilias S. Kotsireas published by Maplesoft a division of Waterloo Maple Inc. 2005 515 pages (1-894511-85-9). M. R. Bremner DNA computing insertion of words and left-symmetric algebras pages 229--242 of Proceedings of Maple Conference 2005 (July 17--20 2005 Waterloo Ontario Canada) edited by Ilias S. Kotsireas published by Maplesoft a division of Waterloo Maple Inc. 2005 515 pages (1-894511-85-9).

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