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)
(D) Invariantes en álgebras de Lie Soc. Matemáticas Mexicana, Memorias 17 31--54 (2021)
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 Amer. Math. Soc. 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
(D) 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
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),
Bol. Soc. Mat. Mex. 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),
Comm. 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 AMS.
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 Mat. Comun.
Vol. 52, pags. 3-12, (2017)
Contact Nilpotent Lie Algebras, (con M.A. Alvarez y M.C. Rodríguez-Vallarte)
Proceedings of the AMS 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
(D) Métricas invariantes en algebras de Lie, (con M.C. Rodríguez-Vallarte),
Aportaciones Mat. Comun.
Vol. 100, pags. 20-32, (2013)
Lie superalgebras over gl(2). (con O.A. Sánchez-Valenzuela)
Comm. 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)
Jour. 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)
Comm. in Math. Phys. Vol. 241 Num. 2-3 pags. 505-518, (2003)
Artículos Aceptados:
Artículos Sometidos a Publicación:
Low-dimensional Lie algebras as double extensions (Con: M.C. Rodríguez-Vallarte)
Linear Codes Associated to Character Tables of Finite Groups (Con: C.M. Solis-Aguilar, M.P. Suárez-Fernández, J.M. Villalobos-Padilla)
Artículos en Progreso:
Kähler-Frobenius and Sasakian Lie algebras (con M.C. Rodríguez-Vallarte y A.O. Sánchez-Valenzuela)