Publications

• Indecomposable modules of 2-step solvable Lie algebras in arbitrary characteristic, with F. Szechtman in Comm. Algebra

• The cohomology of filiform Lie algebras of maximal rank, with P. Tirao. Linear Algebra and Its Applications

• Gradings on 3-step nilpotent lie algebras in connection to the toral rank conjecture, with G. Ames and M. Cruz, J. Algebra and Its Applications

• Total cohomology of solvable Lie algebras and linear deformations, with P. Tirao, aceptado en Trans. Am. Math. Soc., 2014.

• Explicit matrix inverses for lower triangular matrices with entries involving Jacobi polynomials, with Tom Koornwinder., aceptado en J. Aprox. Theory, 2014.

• On the theorem of the primitive element with applications to the representation theory of associative and Lie algebras, with F. Szechtman, aceptado en Canadian Mathematical Bulletin, 2013,

• The classification of uniserial sl(2)xV(m)-modules and a new interpretation of the Racah-Wigner 6j-symbols, with F. Szechtman, J. of Algebra, Volume 386 (2013), 142-175.

• The image of the Lepowsky homomorphism for the group F_4^{-20}, with O. Brega and J. Tirao, Int Math Res Notices (2013) 4874-4919 doi:10.1093/imrn/rn

• The image of the Lepowsky homomorphism for SO(n,1) and SU(n,1), with O. Brega and J. Tirao, Journal of Lie Theory 21 (2011), No. 1, 165-188. ISSN 0949-5932.

• Jordan-Chevalley decomposition in finite dimesional Lie algebras, with F. Szechtman, Proc. Amer. Math. Soc. 139 (2011) 3909-3913.

• LU-decomposition of a noncommutative linear system and Jacobi polynomials, with O. Brega, J. of Lie Theory 19 (2009), 463-481. ISSN 0949-5932

• Comparison morphisms and the Hochschild cohomology ring of truncated quiver algebras, with G. Ames and P. Tirao, J. of Algebra Vol. 322 (2009), pag 1466-1497. ISSN: 0021-8693

• Faithful representation of minimal dimension of current Heisenberg Lie algebras, with N. Rojas, Int. J. Math., Vol 20 (2009), 1347-1362 . ISSN: 0129-167X

• Rigid quivers and rigid algebras, with P. Tirao, J. Algebra, Vol. 320 (2008), 2827 – 2846.

• The image of the Lepowsky homomorphism for the split rank one symplectic group, with O. Brega and J. Tirao, J. Algebra, Vol. 320 (2008), 996--1050.

• On the adjoint homology of 2-step nilpotent Lie algebras, with P. Tirao, Bull. Austral. Math. Soc. (ISSN: 0004-9727) Vol. 71 (2005), 177 – 182.

• The cohomology of the cotangent bundle of the Heisenberg Lie group, with P. Tirao, Advances in Mathematics. ISSN: 0001-8708 Vol. 181 (2) (2004), 276 – 307

• The GL(V)-module structure of the Hochschild homology of truncated tensor algebras, with G. Ames and P. Tirao, J. of Pure and Applied Algebra ISSN: 0022-4049, Vol. 193 (2004) 11 – 26.

• A closed formula for the weight multiplicities of representations of Sp(2, C), with P. Tirao, Manuscripta Math. ISSN: 0025-2611, Vol. 115 N0 4 (2004) 417 – 426.

• M-spherical K-modules a rank one semisimple Lie group, with J. Tirao, Manuscripta Mathematics ISSN: 0025-2611, Vol. 113, No.1 (2004) 107 – 124.

• The adjoint homology of the free 2-step nilpotent Lie algebra, with P. Tirao, The Quarterly Journal of Mathematics ISSN: 0033-5606, Vol. 53, Number 2 (2002), 125 – 145.

• Los residuos de los operadores de entrelazamiento de Kunze-Stein y el anillo clasificante de un grupo de Lie semisimple de rango 1, Tesis doctoral, Famaf 1998.

Preprints

• Classification of linked indecomposable modules of a family of solvable Lie algebras, with F. Szechtman,

• New bounds for minimal faithful representations of nilpotent Lie algebras, with N. Rojas.

• A generalization of Hermite's Reciprocity Law, with D. Penazzi.