Higher polynomial identities for mutations of associative algebras

DOI10.1007/s00025-023-01986-4arXiv1812.05481OpenAlexW2905069581MaRDI QIDQ6078328

Juana Sánchez-Ortega, Jose Brox, Murray R. Bremner

Publication date: 24 October 2023

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.05481

zbMATH Keywords

computer algebrapolynomial identitiesalgebraic operadsLie-admissiblemutation algebrasJordan-admissibletheoretical particle-physics

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Jordan structures on Banach spaces and algebras (17C65) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Nonassociative algebras satisfying other identities (17A30) Free nonassociative algebras (17A50) Lie-admissible algebras (17D25) Algebraic operads, cooperads, and Koszul duality (18M70)

Cites Work

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• An application of lattice basis reduction to polynomial identities for algebraic structures
• Factoring polynomials with rational coefficients
• Mutation algebras of a nonassociative algebra
• Algebras with one operation including Poisson and other Lie-admissible algebras
• Varieties of algebras
• Structure theory for the group algebra of the symmetric group, with applications to polynomial identities for the octonions
• Operads and PROPs
• Identities in mutations of associative algebras^*
• The Structure of Associator Dependent Rings
• Power-associative rings
• Algebraic Operads
• Algebraic Operads

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