Compact Simple Lie Groups and Their C-, S-, and E-Transforms
New continuous group transforms, together with their discretization over a lattice of any density and admissible symmetry, are defined for a general compact simple Lie groups of rank 2 ≤ n < ∞. Rank 1 transforms are known. Rank 2 exposition of C- and S-transforms is in the literature. The E-t...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2005 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2005
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/209335 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Compact Simple Lie Groups and Their C-, S-, and E-Transforms / J. Patera // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 20 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862545479866253312 |
|---|---|
| author | Patera, J. |
| author_facet | Patera, J. |
| citation_txt | Compact Simple Lie Groups and Their C-, S-, and E-Transforms / J. Patera // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 20 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | New continuous group transforms, together with their discretization over a lattice of any density and admissible symmetry, are defined for a general compact simple Lie groups of rank 2 ≤ n < ∞. Rank 1 transforms are known. Rank 2 exposition of C- and S-transforms is in the literature. The E-transforms appear here for the first time.
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| first_indexed | 2025-11-25T08:25:04Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-209335 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-25T08:25:04Z |
| publishDate | 2005 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Patera, J. 2025-11-19T12:20:00Z 2005 Compact Simple Lie Groups and Their C-, S-, and E-Transforms / J. Patera // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 20 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 22E46; 33C80; 43A80; 94A08 https://nasplib.isofts.kiev.ua/handle/123456789/209335 https://doi.org/10.3842/SIGMA.2005.025 New continuous group transforms, together with their discretization over a lattice of any density and admissible symmetry, are defined for a general compact simple Lie groups of rank 2 ≤ n < ∞. Rank 1 transforms are known. Rank 2 exposition of C- and S-transforms is in the literature. The E-transforms appear here for the first time. The author is grateful for partial support for the work from the National Science and Engineering Research Council of Canada and from MITACS. The author is also grateful to A. Zaratsyan for providing the figures of E-functions. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Compact Simple Lie Groups and Their C-, S-, and E-Transforms Article published earlier |
| spellingShingle | Compact Simple Lie Groups and Their C-, S-, and E-Transforms Patera, J. |
| title | Compact Simple Lie Groups and Their C-, S-, and E-Transforms |
| title_full | Compact Simple Lie Groups and Their C-, S-, and E-Transforms |
| title_fullStr | Compact Simple Lie Groups and Their C-, S-, and E-Transforms |
| title_full_unstemmed | Compact Simple Lie Groups and Their C-, S-, and E-Transforms |
| title_short | Compact Simple Lie Groups and Their C-, S-, and E-Transforms |
| title_sort | compact simple lie groups and their c-, s-, and e-transforms |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/209335 |
| work_keys_str_mv | AT pateraj compactsimpleliegroupsandtheircsandetransforms |