Goro Hatayama, Atsuo Kuniba
The combinatorial R matrices are obtained for a family {Bl} of crystals for U ′q(C(1)n) and U ′q(A(2)2n−1), where Bl is the crystal of the irreducible module corresponding to the one-row Young diagram of length l. The isomorphism Bl⊗Bk ≃ Bk⊗Bl and the energy function are described explicitly in terms of a Cn-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.
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title={Combinatorial R Matrices for a Family of},
author={Goro Hatayama and Atsuo Kuniba},
year={2026},
language={en}
}TY - JOUR TI - Combinatorial R Matrices for a Family of AU - Goro Hatayama AU - Atsuo Kuniba PY - 2026 LA - en ER -
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