Research

Papers:

1. 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.

2. 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.

3. 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.

4. 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:

1. Lie 2-algebras of toral rank 3, with Carlos R. Payares Guevara  and Elkin O. Quintero Vanegas (2022).

2. On representations of real quadratic integers as sums of unitary fractions, with Elkin O. Quintero Vanegas and Euro Vidal Sampaio (2023).

3. Triangulated categories to representations of posets, with Gustavo Costa and Lucas Q. Pinto (2024). Preprint available in arXiv:2403.18836.

4. Conceitos iniciais de Teoria de categorias via álgebra linear, with Igor Souza (2024)

Preprints:

1. Cochain complexes over a functor, with Pedro Rizzo. Preprint available in arXiv:2403.18834 (2024)

2. A note on one-point extension of String Algebras with radical square zero, with Edson Ribeiro Alvares (2019).

3. 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)