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

Waldemar Hołubowski; Sebastian Żurek

doi:10.1016/j.jalgebra.2022.11.032

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

Waldemar Hołubowski
, Sebastian Żurek

Department of Mathematics (RMS/RMS1)

Silesian University of Technology

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

In this paper, we shall consider the Lie algebra of column-finite infinite matrices indexed by positive integers N. We describe the lattice of its ideals for an arbitrary field K and study its derivations over any commutative, unital ring R.

Original language	English
Pages (from-to)	517-537
Number of pages	21
Journal	Journal of Algebra
Volume	619
DOIs	https://doi.org/10.1016/j.jalgebra.2022.11.032
Publication status	Published - 1 Apr 2023

Keywords

Derivations
Ideals
Infinite matrices
Infinite-dimensional Lie algebra

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jalgebra.2022.11.032

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title = "Lie algebra of column-finite infinite matrices: Ideals and derivations",

abstract = "In this paper, we shall consider the Lie algebra of column-finite infinite matrices indexed by positive integers N. We describe the lattice of its ideals for an arbitrary field K and study its derivations over any commutative, unital ring R.",

keywords = "Derivations, Ideals, Infinite matrices, Infinite-dimensional Lie algebra",

author = "Waldemar Ho{\l}ubowski and Sebastian {\.Z}urek",

note = "Publisher Copyright: {\textcopyright} 2022 Elsevier Inc.",

year = "2023",

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doi = "10.1016/j.jalgebra.2022.11.032",

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T2 - Ideals and derivations

AU - Hołubowski, Waldemar

AU - Żurek, Sebastian

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N2 - In this paper, we shall consider the Lie algebra of column-finite infinite matrices indexed by positive integers N. We describe the lattice of its ideals for an arbitrary field K and study its derivations over any commutative, unital ring R.

AB - In this paper, we shall consider the Lie algebra of column-finite infinite matrices indexed by positive integers N. We describe the lattice of its ideals for an arbitrary field K and study its derivations over any commutative, unital ring R.

KW - Derivations

KW - Ideals

KW - Infinite matrices

KW - Infinite-dimensional Lie algebra

UR - https://www.scopus.com/pages/publications/85145845543

U2 - 10.1016/j.jalgebra.2022.11.032

DO - 10.1016/j.jalgebra.2022.11.032

M3 - Article

AN - SCOPUS:85145845543

SN - 0021-8693

VL - 619

SP - 517

EP - 537

JO - Journal of Algebra

JF - Journal of Algebra

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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