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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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2023
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| Online Access: | https://hdl.handle.net/10356/170883 |
| _version_ | 1811679747741057024 |
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| author | Lim, Kay Jin |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Lim, Kay Jin |
| author_sort | Lim, Kay Jin |
| collection | NTU |
| 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. |
| first_indexed | 2024-10-01T03:14:04Z |
| format | Journal Article |
| id | ntu-10356/170883 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T03:14:04Z |
| publishDate | 2023 |
| record_format | dspace |
| spelling | ntu-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. |
| 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 |
| title | 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_short | 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 |
| topic | Science::Mathematics Symmetric Group Descent Algebra |
| url | https://hdl.handle.net/10356/170883 |
| work_keys_str_mv | AT limkayjin modularidempotentsforthedescentalgebrasoftypeaandhigherliepowersandmodules |