渡邉 英也

論文

掲載(受諾)済

  1. Symplectic tableaux and quantum symmetric pairs, Journal of Combinatorial Algebra (2025), 57 pp., published online first, DOI 10.4171/JCA/113, arXiv:2308.01718, 41 pp.
  2. Integrable modules over quantum symmetric pair coideal subalgebras, Journal of the Institute of Mathematics of Jussieu (2025), 26 pp., published online 2025:1-26, doi:10.1017/S1474748025100984, arXiv:2407.07280, 22 pp.
  3. Stability of $\imath$canonical bases of locally finite type, Transformation Groups (2024), 19 pp., https://doi.org/10.1007/s00031-024-09876-x, arXiv:2306.12199, 14 pp.
  4. (joint work with Hiroto Kusano, Masato Okado) Kirillov-Reshetikhin modules and quantum $K$-matrices, Communications in Mathematical Physics 405 (2024), no. 4, Paper No. 88, 27 pp., https://doi.org/10.1007/s00220-024-04975-y, arXiv:2209.10325, 19 pp.
  5. A new tableau model for irreducible polynomial representations of the orthogonal group, Journal of Algebraic Combinatorics, 58 (2023), no. 1, 183–230., arXiv:2107.00170, 39 pp.
  6. Crystal bases of modified $\imath$quantum groups of certain quasi-split types, Algebr Represent Theor 27, 1–76 (2024). https://doi.org/10.1007/s10468-023-10207-z, arXiv:2110.07177, 74 pp.
  7. Stability of $\imath$canonical bases of irreducible finite type of real rank one, Representation Theory 27 (2023), 1–29, arXiv:2207.05919, 26 pp.
  8. Based modules over the $\imath$quantum group of type AI, Mathematische Zeitschrift 303 (2023), no. 2, Paper No. 43, 73 pp., arXiv:2103.12932, 68 pp.
  9. (joint work with Keita Yamamura) Alcove paths and Gelfand-Tsetlin patterns, Annals of Combinatorics, 25 (2021), no. 3, 645–676, arXiv:1909.00327, 28 pp.
  10. Classical weight modules over $\imath$quantum groups, Journal of Algebra, 578 (2021), 241–302, arXiv:1912.11157, 48 pp.
  11. Global crystal bases for integrable modules over a quantum symmetric pair of type AIII, Representation Theory 25 (2021), 27–66, arXiv:1809.08577, 34 pp.
  12. Crystal basis theory for a quantum symmetric pair $(\mathbf{U},\mathbf{U}^\jmath)$, International Mathematics Research Notices. IMRN, (2020), no. 22, 8292–8352, arXiv:1704.01277, 40 pp.
  13. (joint work with Zhaobin Fan, Chun-Ju Lai, Yiqiang Li, Li Luo, Weiqiang Wang) Quantum Schur duality of affine type $C$ with three parameters, Mathematical Research Letters, 27 (2020), no. 1, 79–114, arXiv:1802.01047, 25 pp.
  14. (joint work with Huanchen Bao, Weiqiang Wang) Canonical bases for tensor products and super Kazhdan-Lusztig theory, Journal of Pure and Applied Algebra, 224 (2020), no. 8, 106347, 9 pp., arXiv:1808.09388, 10 pp.
  15. (joint work with Huanchen Bao, Weiqiang Wang) Multiparameter quantum Schur duality of type $B$, Proceedings of the American Mathematical Society, 146 (2018), no. 8, 3203–3216, arXiv:1609.01766, 14 pp.
  16. (joint work with Satoshi Naito) A combinatorial formula expressing periodic $R$-polynomials, Journal of Combinatorial Theory Series A, 148 (2017), 197–243, arXiv:1603.02778, 33 pp.

プレプリント

  1. Berele row-insertion and quantum symmetric pairs, arXiv:2509.00853, 32 pp.
  2. Finite-dimensional irreducible representations of twisted loop algebras of the second kind, arXiv:2506.02379, 36 pp.
  3. (joint work with Satoshi Naito, Yujin Suzuki) A proof of the Naito--Sagaki conjecture via the branching rule for $\imath$quantum groups, arXiv:2502.07270, 52 pp.