Verbal width in the Nottingham group and related Lie algebras

Jorge Martinez Carracedo; Consuelo Martinez Lopez

doi:https://doi.org/10.1016/j.jalgebra.2021.02.003

Verbal width in the Nottingham group and related Lie algebras

Jorge Martinez Carracedo, Consuelo Martinez Lopez

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

Abstract

In [1], B. Klopsch proved that the Nottingham group over a finite field is verballyelliptic. We prove a similar result for fields of zero characteristic. We also provethat the Virasoro Lie algebra and some its subalgebras are polynomially elliptic

Original language	English
Pages (from-to)	316-326
Number of pages	11
Journal	Journal of Algebra
Volume	574
DOIs	https://doi.org/10.1016/j.jalgebra.2021.02.003
Publication status	Published - 4 Feb 2021

Bibliographical note

Funding Information:
Authors are grateful to the referee who provided useful comments. This work has been partially supported by the Government of Spain through the project MTM2017?83506?C2?2?P and by the Principado de Asturias through the project FC?GRUPIN?IDI/2018/000193.

Funding Information:
This work has been partially supported by the Government of Spain through the project and by the Principado de Asturias through the project .

Publisher Copyright:
© 2021 Elsevier Inc.

Copyright:
Copyright 2021 Elsevier B.V., All rights reserved.

Keywords

Group
Lower Central Series
Graded Lie algebra
Nottingham group
Virasoro Algebra
Witt Algebra
Verbal Width
Ellipticity

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https://doi.org/10.1016/j.jalgebra.2021.02.003Licence: CC BY-ND

Journal_of_Algebra_Nottingham_GroupAccepted author manuscript, 349 KBLicence: CC BY-ND

https://www.sciencedirect.com/science/article/pii/S0021869321000673Licence: CC BY-ND

Cite this

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title = "Verbal width in the Nottingham group and related Lie algebras",

abstract = "In [1], B. Klopsch proved that the Nottingham group over a finite field is verballyelliptic. We prove a similar result for fields of zero characteristic. We also provethat the Virasoro Lie algebra and some its subalgebras are polynomially elliptic",

keywords = "Group, Lower Central Series, Graded Lie algebra, Nottingham group, Virasoro Algebra, Witt Algebra, Verbal Width, Ellipticity",

author = "{Martinez Carracedo}, Jorge and {Martinez Lopez}, Consuelo",

note = "Funding Information: Authors are grateful to the referee who provided useful comments. This work has been partially supported by the Government of Spain through the project MTM2017?83506?C2?2?P and by the Principado de Asturias through the project FC?GRUPIN?IDI/2018/000193. Funding Information: This work has been partially supported by the Government of Spain through the project and by the Principado de Asturias through the project . Publisher Copyright: {\textcopyright} 2021 Elsevier Inc. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",

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doi = "https://doi.org/10.1016/j.jalgebra.2021.02.003",

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AU - Martinez Carracedo, Jorge

AU - Martinez Lopez, Consuelo

N1 - Funding Information: Authors are grateful to the referee who provided useful comments. This work has been partially supported by the Government of Spain through the project MTM2017?83506?C2?2?P and by the Principado de Asturias through the project FC?GRUPIN?IDI/2018/000193. Funding Information: This work has been partially supported by the Government of Spain through the project and by the Principado de Asturias through the project . Publisher Copyright: © 2021 Elsevier Inc. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2021/2/4

Y1 - 2021/2/4

N2 - In [1], B. Klopsch proved that the Nottingham group over a finite field is verballyelliptic. We prove a similar result for fields of zero characteristic. We also provethat the Virasoro Lie algebra and some its subalgebras are polynomially elliptic

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KW - Lower Central Series

KW - Graded Lie algebra

KW - Nottingham group

KW - Virasoro Algebra

KW - Witt Algebra

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KW - Ellipticity

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SP - 316

EP - 326

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

ER -

Verbal width in the Nottingham group and related Lie algebras

Abstract

Bibliographical note

Keywords

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