Gradings on simple algebras of finitary matrices.

DOI10.1016/j.jalgebra.2010.05.008zbMath1259.16048arXiv0906.4595OpenAlexW2963904415MaRDI QIDQ615822

Yu. A. Bakhturin, Mikhail V. Zaicev

Publication date: 7 January 2011

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.4595

zbMATH Keywords

matrix algebrasgroup graded algebrasgraded simple algebrasalgebras of finitary linear transformationsinfinite-dimensional simple algebras

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Infinite-dimensional and general division rings (16K40) Graded rings and modules (associative rings and algebras) (16W50)

Related Items (5)

GROUP GRADINGS ON FINITARY SIMPLE LIE ALGEBRAS ⋮ Gradings, braidings, representations, paraparticles: some open problems ⋮ Simple graded division algebras over the field of real numbers ⋮ Classification of group gradings on simple Lie algebras of types \(\mathcal A\), \(\mathcal B\), \(\mathcal C\) and \(\mathcal D\) ⋮ Graded division algebras over the field of real numbers

Cites Work

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• Diagonal direct limits of simple lie algebras
• Group Gradings on Matrix Algebras
• Inductive Limits of Finite Dimensional C ∗ -Algebras
• Group gradings on associative algebras

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