On decompositions of affine Coxeter groups in semi-direct products
In this paper we study affine Coxeter groups. We show how to construct decompositions of the investigated groups into semi-direct products. We use this to give the complete list of irreducible representations of affine Coxeter groups.
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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2004 |
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| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2004
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/156419 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On decompositions of affine Coxeter groups in semi-direct products / E. Jushenko // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 3. — С. 60–70. — Бібліогр.: 3 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-156419 |
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Jushenko, E. 2019-06-18T13:30:50Z 2019-06-18T13:30:50Z 2004 On decompositions of affine Coxeter groups in semi-direct products / E. Jushenko // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 3. — С. 60–70. — Бібліогр.: 3 назв. — англ. 1726-3255 2000 Mathematics Subject Classification: 20Cxx, 20C32, 20Fxx. https://nasplib.isofts.kiev.ua/handle/123456789/156419 In this paper we study affine Coxeter groups. We show how to construct decompositions of the investigated groups into semi-direct products. We use this to give the complete list of irreducible representations of affine Coxeter groups. The author expresses her gratitude to Prof. Yu.Samoilenko for setting the problem and permanent attention. I am also thankful to Dr. D.Proskurin for help during the preparation of this paper. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On decompositions of affine Coxeter groups in semi-direct products Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
On decompositions of affine Coxeter groups in semi-direct products |
| spellingShingle |
On decompositions of affine Coxeter groups in semi-direct products Jushenko, E. |
| title_short |
On decompositions of affine Coxeter groups in semi-direct products |
| title_full |
On decompositions of affine Coxeter groups in semi-direct products |
| title_fullStr |
On decompositions of affine Coxeter groups in semi-direct products |
| title_full_unstemmed |
On decompositions of affine Coxeter groups in semi-direct products |
| title_sort |
on decompositions of affine coxeter groups in semi-direct products |
| author |
Jushenko, E. |
| author_facet |
Jushenko, E. |
| publishDate |
2004 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
In this paper we study affine Coxeter groups. We
show how to construct decompositions of the investigated groups
into semi-direct products. We use this to give the complete list of
irreducible representations of affine Coxeter groups.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/156419 |
| citation_txt |
On decompositions of affine Coxeter groups in semi-direct products / E. Jushenko // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 3. — С. 60–70. — Бібліогр.: 3 назв. — англ. |
| work_keys_str_mv |
AT jushenkoe ondecompositionsofaffinecoxetergroupsinsemidirectproducts |
| first_indexed |
2025-12-07T17:46:39Z |
| last_indexed |
2025-12-07T17:46:39Z |
| _version_ |
1850872534847717376 |