Non-Gatherable Triples for Non-Affine Root Systems

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Фізико-технічні та математичні науки
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Відділення математики
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2008, том 4
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Symmetry, Integrability and Geometry: Methods and Applications, 2008, том 4, випуск за цей рік
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dc.contributor.author	Cherednik, I.
dc.contributor.author	Schneider, K.
dc.date.accessioned	2019-02-19T12:42:00Z
dc.date.available	2019-02-19T12:42:00Z
dc.date.issued	2008
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2000 Mathematics Subject Classification: 20H15; 20F55
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/148985
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Special Issue on Kac–Moody Algebras and Applications. Partially supported by NSF grant DMS–0800642.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Non-Gatherable Triples for Non-Affine Root Systems	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA