On irreducible representations of Fuchsian groups
Canadian mathematical bulletin, Tome 67 (2024) no. 4, pp. 970-990
Voir la notice de l'article provenant de la source Cambridge
Let ${\mathcal {R}} \subset \mathbb {P}^1_{\mathbb {C}}$ be a finite subset of markings. Let G be an almost simple simply-connected algebraic group over $\mathbb {C}$. Let $K_G$ denote the compact real form of G. Suppose for each lasso l around the marked point, a conjugacy class $C_l$ in $K_G$ is prescribed. The aim of this paper is to give verifiable criteria for the existence of an irreducible homomorphism of $\pi _{1}(\mathbb P^1_{\mathbb {C}} \,{\backslash}\, {\mathcal {R}})$ into $K_G$ such that the image of l lies in $C_l$.
Mots-clés :
Bruhat–Tits group scheme, parahoric group, Moduli stack, Gromov–Witten, stability
Balaji, Vikraman; Pandey, Yashonidhi. On irreducible representations of Fuchsian groups. Canadian mathematical bulletin, Tome 67 (2024) no. 4, pp. 970-990. doi: 10.4153/S0008439524000389
@article{10_4153_S0008439524000389,
author = {Balaji, Vikraman and Pandey, Yashonidhi},
title = {On irreducible representations of {Fuchsian} groups},
journal = {Canadian mathematical bulletin},
pages = {970--990},
year = {2024},
volume = {67},
number = {4},
doi = {10.4153/S0008439524000389},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439524000389/}
}
TY - JOUR AU - Balaji, Vikraman AU - Pandey, Yashonidhi TI - On irreducible representations of Fuchsian groups JO - Canadian mathematical bulletin PY - 2024 SP - 970 EP - 990 VL - 67 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/S0008439524000389/ DO - 10.4153/S0008439524000389 ID - 10_4153_S0008439524000389 ER -
%0 Journal Article %A Balaji, Vikraman %A Pandey, Yashonidhi %T On irreducible representations of Fuchsian groups %J Canadian mathematical bulletin %D 2024 %P 970-990 %V 67 %N 4 %U http://geodesic.mathdoc.fr/articles/10.4153/S0008439524000389/ %R 10.4153/S0008439524000389 %F 10_4153_S0008439524000389
Cité par Sources :