杨亚军, 陈秀真, 马进. 基于对称多项式的智能家居设备安全认证方案研究[J]. 计算机应用研究, 2021, 38(1): 215-217.
李梦琪, 李雪珊. 排列的右弱Bruhat序与拟对称生成函数[J]. 西南师范大学学报(自然科学版), 2021, 46(6): 14-19.
耿肖肖, 程浩, 朱承澄. 球对称区域上分数阶扩散方程逆源问题[J]. 西南大学学报(自然科学版), 2022, 44(5): 97-107.
张小双, 陈震, 刘奇龙. 求解不同阶对称张量组特征值的带位移高阶幂法[J]. 西南大学学报(自然科学版), 2020, 42(8): 81-87.
WINKEL R. Sequences of Symmetric Polynomials and Combinatorial Properties of Tableaux[J]. Advances in Mathematics, 1998, 134(1): 46-89. doi: 10.1006/aima.1997.1715
MIMACHI K. A New Derivation of the Inner Product Formula for the Macdonald Symmetric Polynomials[J]. Compositio Mathematica, 1998, 113(2): 117-122. doi: 10.1023/A:1000356515121
STANLEY R P. Some Combinatorial Properties of Jack Symmetric Functions[J]. Advances in Mathematics, 1989, 77(1): 76-115. doi: 10.1016/0001-8708(89)90015-7
STANLEY R P. Enumerative Combinatorics, Volume 2[M]. Cambridge: Cambridge University Press, 1999.
STANLEY R P. Enumerative Combinatorics, Volume 1[M]. 2th ed. Cambridge: Cambridge University Press, 2012.
MOTEGI K. Combinatorial Properties of Symmetric Polynomials from Integrable Vertex Models in Finite Lattice[J]. Journal of Mathematical Physics, 2017, 58(9): 091703.
SAGAN B E. The Symmetric Group: Representations Combinatorial Algorithms, and Symmetric Functions[M]. 2th ed. New York: Springer, 2013.
MACDONALD I G. Symmetric Functions and Hall Polynomials[M]. 2th ed. Oxford: Oxford University Press, 1999.
URURE R I. Symmetric and Skew-Symmetric Polynomial Identities with Involution for the Upper Triangular Matrix Algebrasof Even Order [J]. Linear Algebra and its Applications: 2022, 641: 98-114.
HELGASON S. Differential Geometry and Symmetric Spaces[M]. 2th ed. Rhode Island: American Mathematical Society, 2001.
MIWA T, JIMBO M, DATE E. Solitons: Differential Equations, Symmetries and Infinite Dimensional Algebras[M]. Cambridge: Cambridge University Press, 2000.
SERGEEV A N, VESELOV A P. Generalised Discriminants, Deformed Calogero-Moser-Sutherland Operators and Super-Jack Polynomials[J]. Advances in Mathematics, 2005, 192(2): 341-375.
SCHMIDT H J, SCHNACK J. Partition Functions and Symmetric Polynomials[J]. American Journal of Physics, 2002, 70(1): 53-57.