Modular idempotents for the descent algebras of type A and higher Lie powers and modules

Modular idempotents for the descent algebras of type A and higher Lie powers and modules

The article focuses on four aspects related to the descent algebras of type A. They are modular idempotents, higher Lie powers, higher Lie modules and the right ideals of the symmetric group algebras generated by the Solomon's descent elements. More precisely, we give a construction for the mod...

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Main Author: Lim, Kay Jin
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2023
Subjects:
Science::Mathematics
Symmetric Group
Descent Algebra
Online Access:https://hdl.handle.net/10356/170883
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1708832023-10-04T05:29:55Z Modular idempotents for the descent algebras of type A and higher Lie powers and modules Lim, Kay Jin School of Physical and Mathematical Sciences Science::Mathematics Symmetric Group Descent Algebra The article focuses on four aspects related to the descent algebras of type A. They are modular idempotents, higher Lie powers, higher Lie modules and the right ideals of the symmetric group algebras generated by the Solomon's descent elements. More precisely, we give a construction for the modular idempotents, describe the dimension and character for higher Lie powers and study the structures of the higher Lie modules and the right ideals both in the ordinary and modular cases. Ministry of Education (MOE) The author is supported by Singapore Ministry of Education AcRF Tier 1 grant RG17/20. 2023-10-04T05:29:55Z 2023-10-04T05:29:55Z 2023 Journal Article Lim, K. J. (2023). Modular idempotents for the descent algebras of type A and higher Lie powers and modules. Journal of Algebra, 628, 98-162. https://dx.doi.org/10.1016/j.jalgebra.2023.03.011 0021-8693 https://hdl.handle.net/10356/170883 10.1016/j.jalgebra.2023.03.011 2-s2.0-85151566403 628 98 162 en RG17/20 Journal of Algebra © 2023 Elsevier Inc. All rights reserved.
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Science::Mathematics
Symmetric Group
Descent Algebra
spellingShingle Science::Mathematics
Symmetric Group
Descent Algebra
Lim, Kay Jin
Modular idempotents for the descent algebras of type A and higher Lie powers and modules
description The article focuses on four aspects related to the descent algebras of type A. They are modular idempotents, higher Lie powers, higher Lie modules and the right ideals of the symmetric group algebras generated by the Solomon's descent elements. More precisely, we give a construction for the modular idempotents, describe the dimension and character for higher Lie powers and study the structures of the higher Lie modules and the right ideals both in the ordinary and modular cases.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Lim, Kay Jin
format Article
author Lim, Kay Jin
author_sort Lim, Kay Jin
title Modular idempotents for the descent algebras of type A and higher Lie powers and modules
title_short Modular idempotents for the descent algebras of type A and higher Lie powers and modules
title_full Modular idempotents for the descent algebras of type A and higher Lie powers and modules
title_fullStr Modular idempotents for the descent algebras of type A and higher Lie powers and modules
title_full_unstemmed Modular idempotents for the descent algebras of type A and higher Lie powers and modules
title_sort modular idempotents for the descent algebras of type a and higher lie powers and modules
publishDate 2023
url https://hdl.handle.net/10356/170883
_version_ 1779171096758583296

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