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arXiv · 1711.03443

Fingerprint Invariant of Partitions and Construction

Bao Shou·Qiao Wu
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Abstract

The fingerprint invariant of partitions can be used to describe the Kazhdan-Lusztig map for the classical groups. We discuss the basic properties of fingerprint. We construct the fingerprints of rigid partitions in the $B_n$, $C_n$, and $D_n$ theories. To calculate the fingerprint of a rigid semisimple operator $(λ^{'};λ^{"})$, we decompose $λ^{'}+λ^{"}$ into several blocks. We define operators to calculate the fingerprint for each block using the results of fingerprint of the unipotent operators.

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Bao Shou, Qiao Wu. 2017-11-09. Fingerprint Invariant of Partitions and Construction. https://arxiv.org/abs/1711.03443

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