周新建, 张艳艳. Bn型仿射Weyl群a值5的A2×A12×A11型左胞腔[J]. 信阳师范学院学报(自然科学版), 2018, 31(2): 182-185,190. DOI: 10.3969/j.issn.1003-0972.2018.02.003
引用本文: 周新建, 张艳艳. Bn型仿射Weyl群a值5的A2×A12×A11型左胞腔[J]. 信阳师范学院学报(自然科学版), 2018, 31(2): 182-185,190. DOI: 10.3969/j.issn.1003-0972.2018.02.003
ZHOU Xinjian, ZHANG Yanyan. Left Cells of A2×A12×A11 with a-value 5 in Affine Weyl Group of Type Bn[J]. Journal of Xinyang Normal University (Natural Science Edition), 2018, 31(2): 182-185,190. DOI: 10.3969/j.issn.1003-0972.2018.02.003
Citation: ZHOU Xinjian, ZHANG Yanyan. Left Cells of A2×A12×A11 with a-value 5 in Affine Weyl Group of Type Bn[J]. Journal of Xinyang Normal University (Natural Science Edition), 2018, 31(2): 182-185,190. DOI: 10.3969/j.issn.1003-0972.2018.02.003

Bn型仿射Weyl群a值5的A2×A12×A11型左胞腔

Left Cells of A2×A12×A11 with a-value 5 in Affine Weyl Group of Type Bn

  • 摘要: 描述了Bn型仿射Weyl群a值为5的A2×A12×A11型左胞腔的个数.通过计算得到:当n=7时,这样的左胞腔个数为32;当n ≥ 8时,左胞腔个数为1/(12)(n4-2n3-55n2+224n-204).

     

    Abstract: The number of left cells of A2×A12×A11 in type Bn affine Weyl group with a value of 5 was described and calculated. It was obtained that the number of such left cells is 32 for n=7; 1/(12)(n4-2n3-55n2+224n-204) for n ≥ 8.

     

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