Investigación

Artículos publicados, en proceso de publicación y trabajos con avance significativo.

MR Author ID: 723863

Publicaciones según MathSciNet

Publicaciones según Google Académico

Mathematics Genealogy Project

Actualizado al: 16 de diciembre de 2025

Artículos de investigación publicados:

On extensions of Frobenius-Kähler and Sasakian Lie algebras (Con: M.C. Rodríguez-Vallarte, O.A. Sánchez-Valenzuela) Journal of Algebra and its Application (2027) DOI:https://doi.org/10.1142/S0219498827500939
On the non-existence of sympathetic Lie algebras with dimension less than 25 (Con: A.L. García-Pulido) Journal of Algebra and its Applications Vol. 24, No. 5, 2550122 (2025) DOI: https://doi.org/10.1142/S0219498825501221
On quadratic Hom-Lie algebras with twist map in their centroids and their relationship with quadratic Lie algebras (Con: R. García-Delgado, O.A. Sánchez-Valenzuela) Journal of Algebra 651, 221-242 (2024) https://doi.org/10.1016/j.jalgebra.2024.04.006 (ARXIV: 2212.13584 )
Contact and Frobenius Lie Superalgebras (Con M.C. Rodríguez-Vallarte) Communications in Algebra, 52:6, 2626-2648 (2024) DOI: 10.1080/00927872.2024.2302403
Characterization of contact Lie Superalgebras (Con. M.A. Alvarez, M.C. Rodríguez-Vallarte) Journal of Geometry and Physics Vol. 196, February 105058 (2024) https://doi.org/10.1016/j.geomphys.2023.105058
Left-symmetric algebra structures on contact Lie algebras (Con: F.O. Méndez-Méndez) Communications in Algebra Vol. 51, Num. 7, 2914-2929 (2023) DOI:https://doi.org/10.1080/00927872.2023.2173767
Contact Seaweeds (Con: V.E. Coll, N. Mayers, N. Russoniello) Pacific Journal of Mathematics , Vol. 320, No. 1, 45-60, (2022) DOI: 10.2140/pjm.2022.320.45
Lie superalgebras based on Heisenberg Lie algebras (Con: L. Campa y R. Peniche) Linear and multilinear Algebra, vol. 70, No. 8, 1553-1562 (2022) DOI: 10.1080/03081087.2020.1765958
Lie algebras whose Lie groups have negative sectional curvature Revista integración, Temas de matemáticas Vol. 40, No. 1, pág. 77-87 (2022)
Semi-invariants of Low-dimensional Lie algebras (Con: M.A. Alvarez) Communications in Algebra, Vol 49, No. 5, 2022-2032 (2021) DOI:10.1080/00927872.2020.1861619
Deformation Theory of contact Lie algebras as double extensions (Con: M.A. Alvarez y M.C. Rodríguez-Vallarte) Proceedings of the American Mathematical Society Vol. 149, Number 5, 1827-1836 (2021) DOI: https://doi.org/10.1090/proc/15040
Invariant metrics on central extensions of quadratic Lie algebras (Con: R. García-Delgado y O.A. Sánchez-Valenzuela) Journal of Algebra and its Applications, Vol. 19, No. 12, 2050224 (2020) DOI: https://doi.org/10.1142/S0219498820502242 Arxiv: 1801.03047, Ésta es la liga al Arxiv
Corrigendum to: "On 3-dimensional complex Hom-Lie algebras" [J. of Algebra 555, 361--385 (2020)] (Con: R. García-Delgado y O.A. Sánchez-Valenzuela) Journal of Algebra 562, 286-289 (2020) DOI: https://doi.org/10.1016/j.jalgebra.2020.07.002
On 3-dimensional complex Hom-Lie algebras (Con: R. García-Delgado y O.A. Sánchez-Valenzuela) Journal of Algebra 555, 361--385 (2020) DOI: https://doi.org/10.1016/j.algebra.2020.03.005 Arxiv:1902.08569 Ésta es la liga al Arxiv
Generalized derivations and some structure theorems for Lie algebras (con: E. Dorado-Aguilar, R. García-Delgado, E. Martínez-Sigala y M.C. Rodríguez-Vallarte) Journal of Algebra and Its Applications, Vol. 19, No. 2, 2050024 (2020). DOI: https://doi.org/10.1142/S0219498820500243
Principal derivations and codimension one ideals on contact and Frobenius Lie algebras (Con: T. Barajas y E. Roque) Communications in Algebra, Vol. 47, no. 12, 5380--5391 (2019) DOI: 10.1080/00927872.2019.1623238
Invariants of contact Lie algebras, Journal of Geometry and Physics, Vol. 144 C, 388--396, (2019) DOI: https://doi.org/10.1016/j.geomphys.2019.06.014
Low dimensional contact Lie algebras, (con M.A. Alvarez y M.C. Rodríguez-Vallarte), Journal of Lie Theory. Vol. 29, Num. 3, 811-838 (2019)
Real canonical forms for the adjoint action of the Lie groups Sp(V,B) and O(V,B) on their Lie algebras, (con M.C. Rodríguez-Vallarte and R. Peniche), Boletín de la Sociedad Matemática Mexicana Vol 25, Num.1, 53-76 (2019) DOI: 10.1007/s40590-017-0176-4
Contact and Frobenius Lie algebras with abelian Nilradical, (con M.A. Alvarez y M.C. Rodríguez-Vallarte), Communications in Algebra. Vol. 246, Num. 10, 4344-4354 (2018) DOI: https://doi.org/10.1080/00927872.2018.1439048
Geometric Structures on Lie algebras and double extensions, (con M.C. Rodríguez-Vallarte), Proceedings of the American Mathematical Society. Vol. 146, Num. 10, 4199-4209, (2018) DOI: https://doi.org/10.1090/proc/14127
Algebras de Lie reductivas y semisimples; nuevas caracterizaciones, (con C. Villalobos-Guillen), Aportaciones Matemáticas Comunicaciones Vol. 52, pags. 3-12, (2017)
Contact Nilpotent Lie Algebras, (con M.A. Alvarez y M.C. Rodríguez-Vallarte) Proceedings of the American Mathematical Society 145 , 1467-1474, (2017) DOI: https://doi.org/10.1090/proc/13341
On indecomposable solvable Lie superalgebras having a Heisenberg nilradical, (con M.C. Rodríguez-Vallarte y O.A. Sánchez-Valenzuela) Journal of Algebra and Its Applications Vol. 15, No. 10 1650190 (26 pages) (2016) DOI: 10.1142/S0219498816501905
5-dimensional indecomposable contact Lie algebras as double extensions, (con M.C. Rodríguez-Vallarte), Journal of Geometry and Physics Vol. 46, pags. 29-52, (2016) DOI: 10.1016/j.geomphys.2015.10.014
Lie superalgebras over gl(2). (con O.A. Sánchez-Valenzuela) Communications in Algebra Volume 39, Number 6, pags. 2114-2136, (2011) DOI: 10.1080/00927872.2010.488670
Heisenberg Lie superalgebras and their invariant superorthogonal and sypersymplectic forms. (con M.C. Rodríguez-Vallarte and O.A. Sánchez-Valenzuela) Journal of Algebra, Volume 332 , Number 1 , pags. 71-86, (2011) DOI:10.1016/j.jalgebra.2011.02.003
On Natural Superhomogeneous Models for Minkowski Superspacetime. (Con. R. Peniche and O.A. Sánchez-Valenzuela) Annales Henri Poincare, Volume 10, Number 8, pags. 1605-1610, (2010) DOI. 10.1007/s00023-010-0023-x
The meaning of time and covariant superderivatives in supermechanics. (Con. J.A. Vallejo-Rodriguez) Advances in mathematical physics, Volume 2009 (2009), Article ID 987524, 21 pages, doi:10.1155/2009/987524
Algebraic structures in F^n associated to linear transformations Linear Algebra and its Applications. Vol. 431 Num.5-7, pags. 991--997, (2009)
Triple Products on gl(n) Comm. in Alg. Vol. 34 Num. 6 pags. 2261--2268, (2006)
Classification of the Lie Superalgebras Associated to the Adjoint Representation of 3-Dimensional real or complex Lie Algebra. (Con: I. Hernández y O.A. Sánchez-Valenzuela) Journal of Lie Theory Vol. 16 Num. 3, pags. 539-560, (2006)
Lie Superalgebras Based On gl(n) Associated to the Adjoint Representation, And Invariant Geometric Structures Defined On Them. (Con: O.A. Sánchez-Valenzuela) Communications in Mathematical Physics Vol. 241 Num. 2-3 pags. 505-518, (2003)

Artículos Aceptados

Artículos de divulgación

Double extensions of Lie algebras are more common than you think. Soc. Matemática Mexicana, Memorias 9, 1-33 (2025)
Invariantes en álgebras de Lie Soc. Matemáticas Mexicana, Memorias 17 31--54 (2021)
Estructuras de contacto y simplécticas en álgebras de Lie cuadráticas Abstraction & Application, 27 29-42 (2020) Ésta es la liga a la revista Abstraction & Application
Métricas invariantes en algebras de Lie, (con M.C. Rodríguez-Vallarte), Aportaciones Mat. Comun. Vol. 100, pags. 20-32, (2013)

Artículos sometidos a publicación

Characterization of Frobenius Lie algebras through deformation theory (Con: M.A. Alvarez, M.C. Rodríguez-Vallarte)

Artículos en progreso

Nilpotent sl(2)-modules (Con: A.L. García-Pulido)
Gradations on nilpotent sl(2)-modules (Con: A.L. García-Pulido)
Left-symmetric structures on almost cosymplectic Lie algebras (Con: E.A. González-Herrera)