Non-Gatherable Triples for Non-Affine Root Systems
This paper contains a complete description of minimal non-gatherable triangle triples in the lambda-sequences for the classical root systems, F₄ and E₆. Such sequences are associated with reduced decompositions (words) in affine and non-affine Weyl groups. The existence of the non-gatherable triples...
Збережено в:
| Дата: | 2008 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2008
|
| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/148985 |
| 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: | Non-Gatherable Triples for Non-Affine Root Systems / I. Cherednik, K. Schneider // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 7 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-148985 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1489852019-02-20T01:23:29Z Non-Gatherable Triples for Non-Affine Root Systems Cherednik, I. Schneider, K. This paper contains a complete description of minimal non-gatherable triangle triples in the lambda-sequences for the classical root systems, F₄ and E₆. Such sequences are associated with reduced decompositions (words) in affine and non-affine Weyl groups. The existence of the non-gatherable triples is a combinatorial obstacle for using the technique of intertwiners for an explicit description of the irreducible representations of the (double) affine Hecke algebras, complementary to their algebraic-geometric theory. 2008 Article Non-Gatherable Triples for Non-Affine Root Systems / I. Cherednik, K. Schneider // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 7 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 20H15; 20F55 http://dspace.nbuv.gov.ua/handle/123456789/148985 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 contains a complete description of minimal non-gatherable triangle triples in the lambda-sequences for the classical root systems, F₄ and E₆. Such sequences are associated with reduced decompositions (words) in affine and non-affine Weyl groups. The existence of the non-gatherable triples is a combinatorial obstacle for using the technique of intertwiners for an explicit description of the irreducible representations of the (double) affine Hecke algebras, complementary to their algebraic-geometric theory. |
| format |
Article |
| author |
Cherednik, I. Schneider, K. |
| spellingShingle |
Cherednik, I. Schneider, K. Non-Gatherable Triples for Non-Affine Root Systems Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Cherednik, I. Schneider, K. |
| author_sort |
Cherednik, I. |
| title |
Non-Gatherable Triples for Non-Affine Root Systems |
| title_short |
Non-Gatherable Triples for Non-Affine Root Systems |
| title_full |
Non-Gatherable Triples for Non-Affine Root Systems |
| title_fullStr |
Non-Gatherable Triples for Non-Affine Root Systems |
| title_full_unstemmed |
Non-Gatherable Triples for Non-Affine Root Systems |
| title_sort |
non-gatherable triples for non-affine root systems |
| publisher |
Інститут математики НАН України |
| publishDate |
2008 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/148985 |
| citation_txt |
Non-Gatherable Triples for Non-Affine Root Systems / I. Cherednik, K. Schneider // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 7 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT cheredniki nongatherabletriplesfornonaffinerootsystems AT schneiderk nongatherabletriplesfornonaffinerootsystems |
| first_indexed |
2023-05-20T17:31:35Z |
| last_indexed |
2023-05-20T17:31:35Z |
| _version_ |
1796153492136525824 |