<i>B</i><sub><i>n</i></sub>型仿射Weyl群<i>a</i>值5的<i>A</i><sub>2</sub>×<i>A</i><sub>12</sub>×<i>A</i><sub>11</sub>型左胞腔

B_n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 B_n

摘要: 描述了B_n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 B_n 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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