Higher-dimensional analogues of Fuchsian subgroups of 𝑃𝑆𝐿(2,𝔬)

Vulakh, L. Ya.

doi:10.1090/S0002-9947-1993-1145965-9

Higher-dimensional analogues of Fuchsian subgroups of $\operatorname {PSL}(2,\mathfrak {o})$
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Trans. Amer. Math. Soc. 337 (1993), 947-963 Request permission

Abstract:

The problem of classification of $2 \times 2$ indefinite Hermitian matrices over orders in Clifford algebras is considered. The unit groups of these matrices are analogous to maximal arithmetic Fuchsian subgroups of ${\text {PSL}}(2,\mathfrak {o})$ where $\mathfrak {o}$ is an order in a quadratic number field.

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