Mystic Reflection Groups
This paper aims to systematically study mystic reflection groups that emerged independently in the paper [Selecta Math. (N.S.) 14 (2009), 325-372] by the authors and in the paper [Algebr. Represent. Theory 13 (2010), 127-158] by Kirkman, Kuzmanovich and Zhang. A detailed analysis of this class of gr...
Збережено в:
| Дата: | 2014 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2014
|
| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146818 |
| 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: | Mystic Reflection Groups / Y. Bazlov, A. Berenstein // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 2 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-146818 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1468182019-02-12T01:23:02Z Mystic Reflection Groups Bazlov, Y. Berenstein, A. This paper aims to systematically study mystic reflection groups that emerged independently in the paper [Selecta Math. (N.S.) 14 (2009), 325-372] by the authors and in the paper [Algebr. Represent. Theory 13 (2010), 127-158] by Kirkman, Kuzmanovich and Zhang. A detailed analysis of this class of groups reveals that they are in a nontrivial correspondence with the complex reflection groups G(m,p,n). We also prove that the group algebras of corresponding groups are isomorphic and classify all such groups up to isomorphism. 2014 Article Mystic Reflection Groups / Y. Bazlov, A. Berenstein // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 2 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 16G99; 20F55; 16S80 DOI:10.3842/SIGMA.2014.040 http://dspace.nbuv.gov.ua/handle/123456789/146818 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
This paper aims to systematically study mystic reflection groups that emerged independently in the paper [Selecta Math. (N.S.) 14 (2009), 325-372] by the authors and in the paper [Algebr. Represent. Theory 13 (2010), 127-158] by Kirkman, Kuzmanovich and Zhang. A detailed analysis of this class of groups reveals that they are in a nontrivial correspondence with the complex reflection groups G(m,p,n). We also prove that the group algebras of corresponding groups are isomorphic and classify all such groups up to isomorphism. |
| format |
Article |
| author |
Bazlov, Y. Berenstein, A. |
| spellingShingle |
Bazlov, Y. Berenstein, A. Mystic Reflection Groups Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Bazlov, Y. Berenstein, A. |
| author_sort |
Bazlov, Y. |
| title |
Mystic Reflection Groups |
| title_short |
Mystic Reflection Groups |
| title_full |
Mystic Reflection Groups |
| title_fullStr |
Mystic Reflection Groups |
| title_full_unstemmed |
Mystic Reflection Groups |
| title_sort |
mystic reflection groups |
| publisher |
Інститут математики НАН України |
| publishDate |
2014 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146818 |
| citation_txt |
Mystic Reflection Groups / Y. Bazlov, A. Berenstein // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 2 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT bazlovy mysticreflectiongroups AT berensteina mysticreflectiongroups |
| first_indexed |
2023-05-20T17:25:43Z |
| last_indexed |
2023-05-20T17:25:43Z |
| _version_ |
1796153269974728704 |