Extension Groups of Generalized Steinberg Representations
Mathematics#Representation Theory, p-adic Hodge Theory🔬 Research|Analyzed: Jan 3, 2026 16:45•
Published: Dec 30, 2025 15:07
•1 min read
•ArXivAnalysis
This paper investigates extension groups between locally analytic generalized Steinberg representations of GL_n(K), motivated by previous work on automorphic L-invariants. The results have applications in understanding filtered (φ,N)-modules and defining higher L-invariants for GL_n(K), potentially connecting them to Fontaine-Mazur L-invariants.
Key Takeaways
- •Studies extension groups between locally analytic generalized Steinberg representations.
- •Applies results to filtered (φ,N)-modules and higher L-invariants.
- •Generalizes Schraen's thesis from GL_3(Q_p) to GL_n(K).
- •Defines Breuil-Schraen L-invariants and discusses their relation to Fontaine-Mazur L-invariants.
Reference / Citation
View Original"The paper proves that a certain universal successive extension of filtered (φ,N)-modules can be realized as the space of homomorphisms from a suitable shift of the dual of locally K-analytic Steinberg representation into the de Rham complex of the Drinfeld upper-half space."