Lie algebra of column-finite infinite matrices: ideals and derivations

DOI10.1016/j.jalgebra.2022.11.032OpenAlexW3164713756MaRDI QIDQ2682826

Sebastian Zurek, Waldemar Hołubowski

Publication date: 1 February 2023

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

Full work available at URL: https://arxiv.org/abs/1806.01099

zbMATH Keywords

infinite-dimensional Lie algebraderivationsidealsinfinite matrices

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) Simple, semisimple, reductive (super)algebras (17B20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Simple Lie algebras over fields of positive characteristic. III: Completion of the classification
• Cohomologies of Lie algebras of generalized Jacobi matrices
• Derivations of the parabolic subalgebras of the general linear Lie algebra over a commutative ring
• Complex finitary simple Lie algebras
• Finitary simple Lie algebras
• Ordered tensor categories and representations of the Mackey Lie algebra of infinite matrices
• Representation categories of Mackey Lie algebras as universal monoidal categories
• Finitary Lie algebras.
• Locally finite-dimensional Lie algebras and their derivation algebras
• Normal subgroups in the group of column-finite infinite matrices
• Free and residually artinian regular rings
• Classical Banach-Lie algebras and Banach-Lie groups of operators in Hilbert space
• Homology of Lie algebras of orthogonal and symplectic generalized Jacobi matrices
• Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras
• Operator Approach to the Kadomtsev-Petviashvili Equation–Transformation Groups for Soliton Equations III–
• Spin and wedge representations of infinite-dimensional Lie algebras and groups
• Diagonal direct limits of simple lie algebras
• Derivations of the Lie algebra of infinite strictly upper triangular matrices over a commutative ring
• Homology of the Lie algebra gl(\infty, R)
• Jordan Structures in Lie Algebras
• Three Results on Representations of Mackey Lie Algebras
• Tensor Representations of Mackey Lie Algebras and Their Dense Subalgebras
• On Infinite-Dimensional Linear Spaces
• New simple Lie algebra of uncountable dimension

This page was built for publication: Lie algebra of column-finite infinite matrices: ideals and derivations