Mariano Suárez-Álvarez
Papers & preprints
Papers and preprints
- M. Suárez-Álvarez: On the derivations and automorphisms of the algebra $k\langle x,y\rangle/(yx−xy−x^N)$. arXiv:2402.11962.
- C. Chaparro, S. Schroll, A. Solotar, M. Suárez-Álvarez: The Hochschild cohomology and the Tamarkin-Tsygan calculus of gentle algebras, arXiv:2311.08003.
- M. Suárez-Álvarez: A simple homological characterization of string algebras of finite representation type arXiv:2105.02948.
- M. Suárez-Álvarez: A little bit of extra functoriality for Ext and the computation of the Gerstenhaber bracket. Accepted for publication by J. Pure Appl. Algebra. arXiv:1604.06507.
- F. Kordon, M. Suárez-Álvarez: Hochschild cohomology of algebras of differential operators tangent to a central arrangement of lines. arXiv:1807.10372.
- M. Suárez-Álvarez: The algebra of differential operators tangent to a hyperplane arrangement. arXiv:1806.05410.
- M. Suárez-Álvarez: Cyclic extensions are radical. Amer. Math. Monthly 123 no. 2 (2016) 160. arXiv:1604.06794.
- M. Suárez-Álvarez: Untwisting algebras with van den Bergh duality into Calabi-Yau algebras. Accepted for publication by Proc. Amer. Math. Soc. arXiv:1311.3339.
- M. Suárez-Álvarez, Q. Vivas: Automorphisms and isomorphisms of quantum generalized Weyl algebras. J. Algebra 424 (2015), 540–552. arXiv:1206.4417.
- E. Herscovich, A. Solotar, M. Suárez-Álvarez: PBW-deformations and deformations à la Gerstenhaber of $N$-Koszul algebras. J. Noncommut. Geom. 8 (2014), no. 2, 505–539. arXiv:1105.0211.
- A. Solotar, M. Suárez-Álvarez, Q. Vivas: Hochschild homology and cohomology of Generalized Weyl algebras: the quantum case. Ann. Inst. Fourier (Grenoble) 63 (2013), no. 3, 923–956. arXiv:1106.5289.
- M. Suárez-Alvarez: Applications of the change-of-rings spectral sequence to the computation of Hochschild cohomology. arxiv.org:0707.3210.
- M. Suárez-Álvarez: On the cohomology of a Galois entwining. Ann. Sci. Math. du Québec. 30 (2006) no. 3, 259–262. arXiv:math.QA/0410126.
- M. Suárez-Álvarez: The Hilton-Eckmann argument for cup products. Proc. Amer. Math. Soc. 132 (2004) no. 8, 2241–2246. arXiv:math.KT/0209029.
- M. Karoubi, M. Suárez-Álvarez: Twisted Kähler differential forms. J. Pure Appl. Algebra 182 (2003) no. 1–2 , 279–289. arXiv:math.AT/0109078.
- M. Farinati, A. Solotar, M. Suárez-Álvarez: Hochschild homology of generalized Weyl algebras. Ann. Inst. Fourier 53 (2003) no. 2, 463–486. arXiv:math.KT/0109025.
- M. Suárez-Álvarez: Algebra structure on the Hochschild cohomology of the ring of invariants of a Weyl algebra under a finite group. J. Algebra 248 (2001), 291–306. arXiv:math.KT/0109068.
A rejected paper
- M. Suárez-Alvarez: A Short Proof of the Cayley–Hamilton Theorem. See here.
Books
- M. Farinati, A. Solotar, M. Suárez-Álvarez: Anillos y sus categorías de representaciones. Cuadernos de Matemática y Mecánica. Instituto de Matemática Aplicada del Litoral, Universidad Nacional del Litoral. Santa Fé, Argentina, 2007.