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, $F_4$ and $E_6$. Such sequences are associated with reduced decompositions (words) in affine and non-affine Weyl groups. The existence of the non-gatherable t...
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National Academy of Science of Ukraine
2008-11-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Online Access: | http://dx.doi.org/10.3842/SIGMA.2008.079 |
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doaj-404e6cc140a0443cb1c27b76a983e1d92020-11-24T22:43:25ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592008-11-014079Non-Gatherable Triples for Non-Affine Root SystemsIvan CherednikKeith SchneiderThis paper contains a complete description of minimal non-gatherable triangle triples in the lambda-sequences for the classical root systems, $F_4$ and $E_6$. 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.http://dx.doi.org/10.3842/SIGMA.2008.079root systemsWeyl groupsreduced decompositions |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Ivan Cherednik Keith Schneider |
| spellingShingle |
Ivan Cherednik Keith Schneider Non-Gatherable Triples for Non-Affine Root Systems Symmetry, Integrability and Geometry: Methods and Applications root systems Weyl groups reduced decompositions |
| author_facet |
Ivan Cherednik Keith Schneider |
| author_sort |
Ivan Cherednik |
| 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 |
National Academy of Science of Ukraine |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| issn |
1815-0659 |
| publishDate |
2008-11-01 |
| description |
This paper contains a complete description of minimal non-gatherable triangle triples in the lambda-sequences for the classical root systems, $F_4$ and $E_6$. 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. |
| topic |
root systems Weyl groups reduced decompositions |
| url |
http://dx.doi.org/10.3842/SIGMA.2008.079 |
| work_keys_str_mv |
AT ivancherednik nongatherabletriplesfornonaffinerootsystems AT keithschneider nongatherabletriplesfornonaffinerootsystems |
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1725696067827138560 |