Identités Multilinéaires de Degré 4 pour les Algèbres de Bernstein et de Mutation Non Commutatives

Richard Varro

doi:10.1080/00927872.2011.578605

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Identités Multilinéaires de Degré 4 pour les Algèbres de Bernstein et de Mutation Non Commutatives

Journal article

Peer reviewed

Identités Multilinéaires de Degré 4 pour les Algèbres de Bernstein et de Mutation Non Commutatives

Richard Varro

Communications in Algebra, Vol.40, pp.2426 - 2448

07/2012

DOI: https://doi.org/10.1080/00927872.2011.578605

Abstract

Baric algebra

Multilinear identities

Non commutative Bernstein algebra

Non commutative mutation algebra 2000 Mathematics Subject Classification: Primary 17D92

Secondary 17A30

We give the identities generating the spaces of degree 4 multilinear identities satisfied by the non commutative 0th-order Bernstein algebras and the non commutative mutation algebras. For it, we use a method reducing the search for multilinear identities to the resolution of linear systems.

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Title: Identités Multilinéaires de Degré 4 pour les Algèbres de Bernstein et de Mutation Non Commutatives
Creators - without role: Richard Varro - Université de Montpellier, Institut Montpelliérain Alexander Grothendieck - IMAG
Publication Details: Communications in Algebra, Vol.40, pp.2426 - 2448
Identifiers: 9942484509311
Academic Unit: Institut Montpelliérain Alexander Grothendieck - IMAG
Language: English
Resource Type: Journal article
Local Fields: hal-03235326