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Octo-bialgebras

Ni, Xiang and Bai, Chengming (2012) Octo-bialgebras. Algebra Colloquium, 19 (2). pp. 305-332. ISSN 1005-3867. https://resolver.caltech.edu/CaltechAUTHORS:20120509-100002672

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Abstract

The notion of octo-algebra was introduced by Leroux as a Loday algebra with 8 operations. In this paper, we introduce a notion of octo-bialgebra as a bialgebra theory of octo-algebras, which is equivalent to a double construction of a quadri-algebra with a nondegenerate 2-cocycle or a double construction of an octo-algebra with a nondegenerate invariant bilinear form. Some properties of octo-bialgebras are given, including the study of the coboundary cases which leads to a construction from an analogue of the classical Yang-Baxter equation in an octo-algebra.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://www.worldscinet.com/ac/19/1902/S100538671200020X.htmlPublisherUNSPECIFIED
Additional Information:© 2012 World Scientific Publishing Co. This work was supported in part by the NSFC (10621101, 10921061), NKBRPC (2006CB, 805905), and SRFDP (200800550015).
Funders:
Funding AgencyGrant Number
NSFC (China)10621101
NSFC (China)10921061
NKBRPC2006CB805905
SRFDP200800550015
Subject Keywords:Loday algebra, octo-algebra, quadri-algebra, classical Yang-Baxter equation
Issue or Number:2
Classification Code:2000 MSC: 16W30, 17A30, 18D50
Record Number:CaltechAUTHORS:20120509-100002672
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20120509-100002672
Official Citation:Octo-bialgebras Xiang Ni and Chengming Bai Page: 305-332
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:31372
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:09 May 2012 17:36
Last Modified:03 Oct 2019 03:51

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