Investigación

On the non-existence of sympathetic Lie algebras with dimension less than 25 (Con: A.L. García-Pulido)  Journal of Algebra and its Applications (2025)  2550122       DOI: 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)

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)

Low-dimensional Lie algebras as double extensions  (Con: M.C. Rodríguez-Vallarte) (2021)

Linear Codes Associated to Character Tables of Finite Groups (Con: C.M. Solis-Aguilar, M.P. Suárez-Fernández, J.M. Villalobos-Padilla)

Nilpotent sl(2)-modules  (Con: A.L. García-Pulido)

Gradations on nilpotent sl(2)-modules (Con: A.L. García-Pulido)

Quadratics Hom-Lie algebras  (Con: R. García-Delgado, O.A.  Sánchez-Valenzuela)