Graded-simple algebras and cocycle twisted loop algebras

DOI10.1090/proc/14449zbMath1458.16049arXiv1807.01041OpenAlexW3101332692WikidataQ128973835 ScholiaQ128973835MaRDI QIDQ5384808

Alberto Elduque

Publication date: 26 June 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.01041

zbMATH Keywords

loop algebracocycle twistgraded-simplegraded-central

Mathematics Subject Classification ID

Graded Lie (super)algebras (17B70) Graded rings and modules (associative rings and algebras) (16W50)

Related Items (3)

Mackey's obstruction map for discrete graded algebras ⋮ Graded-division algebras and Galois extensions ⋮ Graded-division algebras over arbitrary fields

Cites Work

• The centroid of extended affine and root graded Lie algebras
• Discrete and continuous graded contractions of Lie algebras and superalgebras
• Realization of graded-simple algebras as loop algebras
• Discrete and continuous graded contractions of representations of Lie algebras
• On nonassociative graded-simple algebras over the field of real numbers
• On the Contraction of Groups and Their Representations
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