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...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2008 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2008
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/148985 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862720705770029056 |
|---|---|
| author | Cherednik, I. Schneider, K. |
| author_facet | Cherednik, I. Schneider, K. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-12-07T18:26:29Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-148985 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T18:26:29Z |
| publishDate | 2008 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Cherednik, I. Schneider, K. 2019-02-19T12:42:00Z 2019-02-19T12:42:00Z 2008 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 https://nasplib.isofts.kiev.ua/handle/123456789/148985 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. This paper is a contribution to the Special Issue on Kac–Moody Algebras and Applications. Partially supported by NSF grant DMS–0800642. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Non-Gatherable Triples for Non-Affine Root Systems Article published earlier |
| spellingShingle | Non-Gatherable Triples for Non-Affine Root Systems Cherednik, I. Schneider, K. |
| title | 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_short | Non-Gatherable Triples for Non-Affine Root Systems |
| title_sort | non-gatherable triples for non-affine root systems |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148985 |
| work_keys_str_mv | AT cheredniki nongatherabletriplesfornonaffinerootsystems AT schneiderk nongatherabletriplesfornonaffinerootsystems |