离散超可解群的单项表示的刻画
On characterization of monomial representations of discrete supersolvable groups
摘要：
证明了离散超可解群的抽象（可能是无限维）复不可约表示是单项式的当且仅当它有有限权.我们还证明了一个一般的结果，这意味着逆舒尔引理成立的某些诱导表示的离散群。最后给出了无限二面体群的例子，证明了它是单项式群。
英文摘要：
We prove that an abstract (possibly infinite dimensional) complex irreducible representation of a discrete supersolvable group is monomial if and only if it has finite weight. We also prove a general result that implies converse of Schur's lemma holds true for certain induced representations of finitely generated discrete groups. At last, we work out example of infinite dihedral group and prove that it is a monomial group.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
