Extended G-vertex colored partition algebras as centralizer algebras of symmetric groups
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Extended G-vertex colored partition algebras as centralizer algebras of symmetric groups
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| Creator |
Parvathi, M.
Kennedy, A.J. |
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| 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]. |
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| Date |
2019-06-18T17:57:28Z
2019-06-18T17:57:28Z 2005 |
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| Type |
Article
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| Identifier |
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. http://dspace.nbuv.gov.ua/handle/123456789/156627 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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