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Representations of SL over finite local rings of length two
Journal of Algebra ( IF 0.9 ) Pub Date : 2021-01-01 , DOI: 10.1016/j.jalgebra.2020.08.036
Alexander Stasinski

Abstract Let F q be a finite field of characteristic p and let W 2 ( F q ) be the ring of Witt vectors of length two over F q . We prove that for any integer n such that p divides n, the groups SL n ( F q [ t ] / t 2 ) and SL n ( W 2 ( F q ) ) have the same number of irreducible representations of dimension d, for each d.

中文翻译:

SL 在长度为 2 的有限局部环上的表示

摘要 令F q 为特征p 的有限域,令W 2 (F q ) 为F q 上长度为2 的Witt 向量环。我们证明对于任何使得 p 整除 n 的整数 n,群 SL n ( F q [ t ] / t 2 ) 和 SL n ( W 2 ( F q ) ) 具有相同数量的维度 d 的不可约表示,对于每个 d.
更新日期:2021-01-01
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