과제정보
We are very grateful to Roger Behrend who provided us with extensive and valuable comments in the preparation of this paper.
참고문헌
- R. E. Behrend and V. A. Knight, Higher spin alternating sign matrices, Electron. J. Combin. 14 (2007), no. 1, Research Paper 83, 38 pp.
- A. Bjorner and F. Brenti. Combinatorics of Coxeter Groups, Graduate Texts in Math. Vol. 231, Springer, 2003.
- D. M. Bressoud, Proofs and Confirmations, MAA Spectrum, Mathematical Association of America, Washington, DC, 1999.
- R. A. Brualdi and G. Dahl, Alternating sign matrices, extensions and related cones, Adv. in Appl. Math. 86 (2017), 19-49. https://doi.org/10.1016/j.aam.2016.12.001
- R. A. Brualdi, K. P. Kiernan, S. A. Meyer, and M. W. Schroeder, Patterns of alternating sign matrices, Linear Algebra Appl. 438 (2013), no. 10, 3967-3990. https://doi.org/10.1016/j.laa.2012.03.009
- R. A. Brualdi and H. K. Kim, A generalization of alternating sign matrices, J. Combin. Des. 23 (2015), no. 5, 204-215. https://doi.org/10.1002/jcd.21397
- R. A. Brualdi and M. W. Schroeder, Alternating sign matrices and their Bruhat order, Discrete Math. 340 (2017), no. 8, 1996-2019. https://doi.org/10.1016/j.disc.2016.10.010
- Z. Hamaker and V. Reiner, Weak order and descents for monotone triangles, European J. Combin. 86 (2020), 103083, 22 pp. https://doi.org/10.1016/j.ejc.2020.103083
- A. Lascoux and M.-P. Schutzenberger, Treillis et bases des groupes de Coxeter, Electron. J. Combin. 3 (1996), no. 2, Research paper 27, approx. 35 pp.
- W. H. Mills, D. P. Robbins, and H. Rumsey, Jr., Alternating sign matrices and descending plane partitions, J. Combin. Theory Ser. A 34 (1983), no. 3, 340-359. https://doi.org/10.1016/0097-3165(83)90068-7
- J. Propp, The many faces of alternating-sign matrices, in Discrete models: combinatorics, computation, and geometry (Paris, 2001), 043-058, Discrete Math. Theor. Comput. Sci. Proc., AA, Maison Inform. Math. Discr'et. (MIMD), Paris, 2001.