Research
Papers:
Benitez Monsalve, G., Payares Guevara, C. R., Quintero Vanegas, E., Equivalence of categories of simple Lie algebras in positive characteristic, Proyecciones (Antofagasta, On line), vol. 42, no. 4, pp. 815-831, Jul. 2023. https://doi.org/10.22199/issn.0717-6279-5335.
Benitez, G., Ramirez, L. E. Faces of polyhedra associated with relation modules. Arkiv för Matematik. 60 (2022), no. 2, 277–296. https://dx.doi.org/10.4310/ARKIV.2022.v60.n2.a3. Preprint available in arXiv:2107.06315.
Benitez, G., Rocha, H. On the freeness problem for truncated current algebras. São Paulo J. Math. Sci. 15, 365–382 (2021). https://doi.org/10.1007/s40863-020-00204-1.
Benitez, Germán. Gelfand-Tsetlin varieties for gl(n). Internat. J. Algebra Comput. 30 (2020), no. 7, 1485–1504. https://doi.org/10.1142/S0218196720500502. Preprint available in arXiv:1802.07248.
Papers accepted for publication:
Papers submitted:
Triangulated categories to representations of posets, with Gustavo Costa and Lucas Q. Pinto (2024). Preprint available in arXiv:2403.18836.
Conceitos iniciais de Teoria de categorias via álgebra linear, with Igor Souza (2024)
Cochain complexes over a functor, with Pedro Rizzo. Preprint available in arXiv:2403.18834 (2024)
Preprints:
Lie 2-algebras of toral rank 3, with Carlos R. Payares Guevara and Elkin O. Quintero Vanegas. Preprint available in arXiv:2406.07554 (2024).
On representations of real quadratic integers as sums of unitary fractions, with Elkin O. Quintero Vanegas and Euro Vidal Sampaio (2023).
A note on one-point extension of String Algebras with radical square zero, with Edson Ribeiro Alvares (2019).
Gelfand-Tsetlin varieties for Yangians. Preprint available in arXiv:1802.09938 (2018).
PhD Thesis: Variedades de Gelfand-Tsetlin (in Portuguese)
Master Thesis: Um estudo sobre a Categoria Derivada de Álgebras Strings (in Portuguese)
Monograph / Final Course Assignment : Categorias Derivadas y Trianguladas (in Spanish)