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

Katedra Matematyki (RMS/RMS1)

Silesian University of Technology

Wyniki badań: Wkład do czasopisma › Artykuł › recenzja

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Abstrakt

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.

Język oryginału	angielski
Strony (od–do)	517-537
Liczba stron	21
Czasopismo	Journal of Algebra
Tom	619
Identyfikatory DOI	https://doi.org/10.1016/j.jalgebra.2022.11.032
Status publikacji	Opublikowano - 1 kwi 2023

Obszary tematyczne ASJC Scopus

Algebra i teoria liczb

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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",

month = apr,

day = "1",

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

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journal = "Journal of Algebra",

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TY - JOUR

T1 - Lie algebra of column-finite infinite matrices

T2 - Ideals and derivations

AU - Hołubowski, Waldemar

AU - Żurek, Sebastian

PY - 2023/4/1

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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

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