Graded identities for Kac-Moody and Heisenberg algebras with the Cartan grading

DOI10.1016/j.laa.2021.12.016zbMath1505.16032OpenAlexW4200333270MaRDI QIDQ2074961

David Macêdo, Claudemir Fidelis, Plamen Koshlukov

Publication date: 11 February 2022

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2021.12.016

zbMATH Keywords

Kac-Moody algebragraded identitiesbasis of identitiesCartan-type grading

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Infinite-dimensional Lie (super)algebras (17B65) Graded Lie (super)algebras (17B70) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

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