Frobenius character formula and spin generic degrees for Hecke–Clifford algebra
Frobenius character formula and spin generic degrees for Hecke–Clifford algebra
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DOI：
10.1112/plms/pds041
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发表时间：
2012-01
影响因子：
1.8
通讯作者：
Jinkui Wan;Weiqiang Wang
中科院分区：
文献类型：
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作者：
Jinkui Wan;Weiqiang Wang
建立了赫克代数的几个经典概念和结果的自旋类似物。对于 Hecke-Clifford 代数的不可约特征，获得了 Frobenius 型公式。迹函数的精确表征使我们能够定义代数的字符表。该代数被赋予了规范的对称迹形式，相对于该形式，自旋泛度被制定并显示为与自旋伪度一致。我们进一步提供了自旋 Hecke 代数上迹函数和对称迹形式的表征，该代数是 Morita 超等价于 Hecke-Clifford 代数。
The spin analogues of several classical concepts and results for Hecke algebras are established. A Frobenius type formula is obtained for irreducible characters of the Hecke–Clifford algebra. A precise characterization of the trace functions allows us to define the character table for the algebra. The algebra is endowed with a canonical symmetrizing trace form, with respect to which the spin generic degrees are formulated and shown to coincide with the spin fake degrees. We further provide a characterization of the trace functions and the symmetrizing trace form on the spin Hecke algebra which is Morita super‐equivalent to the Hecke–Clifford algebra.