Combinatorial R matrices for a family of crystals : C^{(1)}_n and A^{(2)}_{2n-1} cases

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dc.creatorHatayama, Goro
dc.creatorKuniba, Atsuo
dc.creatorOkado, Masato
dc.creatorTakagi, Taichiro
dc.date1999-09-14
dc.date1999-09-16
dc.date.accessioned2026-07-07T05:30:44Z
dc.date.available2026-07-07T05:30:44Z
dc.descriptionThe combinatorial R matrices are obtained for a family {B_l} of crystals for U'_q(C^{(1)}_n) and U'_q(A^{(2)}_{2n-1}), where B_l is the crystal of the irreducible module corresponding to the one-row Young diagram of length l. The isomorphism B_l\otimes B_k \simeq B_k \otimes B_l and the energy function are described explicitly in terms of a C_n-analogue of the Robinson-Schensted-Knuth type insertion algorithm. As an application a C^{(1)}_n-analogue of the Kostka polynomials is calculated for several cases.
dc.description38 pages, latex2e, no figure
dc.identifierhttps://arxiv.org/abs/math/9909068
dc.identifierhttp://arxiv.org/abs/math/9909068
dc.identifierProg. Math. Phys. 191 "Physical Combinatorics" (2000) 105--139
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79091
dc.subjectQuantum Algebra
dc.subjectExactly Solvable and Integrable Systems
dc.subject81R10; 81R50
dc.titleCombinatorial R matrices for a family of crystals : C^{(1)}_n and A^{(2)}_{2n-1} cases
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