Extended G-vertex colored partition algebras as centralizer algebras of symmetric groups
The Partition algebras Pk(x) have been defined
 in [M1] and [Jo]. We introduce a new class of algebras for every
 group G called “Extended G-Vertex Colored Partition Algebras,"
 denoted by Pbk(x,G), which contain partition algebras Pk(x), as
 subalgebras. We gene...
Збережено в:
| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2005 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2005
|
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/156627 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Extended G-vertex colored partition algebras as centralizer algebras of symmetric groups / M. Parvathi, A.J. Kennedy // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 2. — С. 58–79. — Бібліогр.: 13 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862557692361441280 |
|---|---|
| author | Parvathi, M. Kennedy, A.J. |
| author_facet | Parvathi, M. Kennedy, A.J. |
| citation_txt | Extended G-vertex colored partition algebras as centralizer algebras of symmetric groups / M. Parvathi, A.J. Kennedy // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 2. — С. 58–79. — Бібліогр.: 13 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | The Partition algebras Pk(x) have been defined
in [M1] and [Jo]. We introduce a new class of algebras for every
group G called “Extended G-Vertex Colored Partition Algebras,"
denoted by Pbk(x,G), which contain partition algebras Pk(x), as
subalgebras. We generalized Jones result by showing that for a
finite group G, the algebra Pbk(n,G) is the centralizer algebra of
an action of the symmetric group Sn on tensor space W⊗k
, where
W = C
n|G|
. Further we show that these algebras Pbk(x,G) contain
as subalgebras the “G-Vertex Colored Partition Algebras Pk(x,G),"
introduced in [PK1].
|
| first_indexed | 2025-11-25T22:33:40Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-156627 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-25T22:33:40Z |
| publishDate | 2005 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Parvathi, M. Kennedy, A.J. 2019-06-18T17:57:28Z 2019-06-18T17:57:28Z 2005 Extended G-vertex colored partition algebras as centralizer algebras of symmetric groups / M. Parvathi, A.J. Kennedy // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 2. — С. 58–79. — Бібліогр.: 13 назв. — англ. 1726-3255 1991 Mathematics Subject Classification: 16S99. https://nasplib.isofts.kiev.ua/handle/123456789/156627 The Partition algebras Pk(x) have been defined
 in [M1] and [Jo]. We introduce a new class of algebras for every
 group G called “Extended G-Vertex Colored Partition Algebras,"
 denoted by Pbk(x,G), which contain partition algebras Pk(x), as
 subalgebras. We generalized Jones result by showing that for a
 finite group G, the algebra Pbk(n,G) is the centralizer algebra of
 an action of the symmetric group Sn on tensor space W⊗k
 , where
 W = C
 n|G|
 . Further we show that these algebras Pbk(x,G) contain
 as subalgebras the “G-Vertex Colored Partition Algebras Pk(x,G),"
 introduced in [PK1]. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Extended G-vertex colored partition algebras as centralizer algebras of symmetric groups Article published earlier |
| spellingShingle | Extended G-vertex colored partition algebras as centralizer algebras of symmetric groups Parvathi, M. Kennedy, A.J. |
| title | Extended G-vertex colored partition algebras as centralizer algebras of symmetric groups |
| title_full | Extended G-vertex colored partition algebras as centralizer algebras of symmetric groups |
| title_fullStr | Extended G-vertex colored partition algebras as centralizer algebras of symmetric groups |
| title_full_unstemmed | Extended G-vertex colored partition algebras as centralizer algebras of symmetric groups |
| title_short | Extended G-vertex colored partition algebras as centralizer algebras of symmetric groups |
| title_sort | extended g-vertex colored partition algebras as centralizer algebras of symmetric groups |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/156627 |
| work_keys_str_mv | AT parvathim extendedgvertexcoloredpartitionalgebrasascentralizeralgebrasofsymmetricgroups AT kennedyaj extendedgvertexcoloredpartitionalgebrasascentralizeralgebrasofsymmetricgroups |