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arXiv · 2502.02081

Decomposition numbers of the cyclotomic Brauer algebra over the complex field, II

Hebing Rui·Linliang Song
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Abstract

Following Nazarov's suggestion, the cyclotomic Nazarov-Wenzl algebra is referred to as the cyclotomic Brauer algebra. This paper focuses on computing the decomposition numbers of the cyclotomic Brauer algebra over $\mathbb{C}$ with arbitrary parameters. We show that these decomposition numbers can be expressed in terms of the parabolic Kazhdan-Lusztig polynomials of type $D_n$, with a parabolic subgroup of type $A$, under Condition 1.2.

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BibTeXRIS

Hebing Rui, Linliang Song. 2025-02-04. Decomposition numbers of the cyclotomic Brauer algebra over the complex field, II. https://arxiv.org/abs/2502.02081

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