Artículos / Articles de  Nicolás Andruskiewitsch

• On pointed Hopf algebras associated with the symmetric groups. (With F. Fantino and S. Zhang). Abstract and file, arXiv:0807.2406v1. 14 pages.
• New techniques for pointed Hopf algebras. (With F. Fantino). Abstract and file, arXiv:0803.3486v1. 29 pages.
• The Nichols algebra of a semisimple Yetter-Drinfeld module. (With I. Heckenberger and  H.-J. Schneider ). Abstract and file,  arXiv:0803.2430v1.
• Quantum subgroups of a simple quantum group at roots of 1. (With G. García). Abstract and file,  arXiv:0707.0070v1. Enviado, 29 pp.
• On Nichols algebras with generic braiding. (With I. Angiono). Abstract and file,arXiv:math/0703924v2 . Aceptado en "Modules and Comodules", Proceedings of a conference dedicated to Robert Wisbauer, 17 pp.
• On pointed Hopf algebras associated with alternating and dihedral groups. (With F. Fantino). Abstract and file, math.QA/0702559. Rev. Unión Mat. Argent.. 48-3, (2007), pag. 57-71 (versión final).
• On module categories over finite-dimensional Hopf algebras . (With J. M. Mombelli). Abstract and file, math.QA/0608781. J. Alg. 314, (2007), 383-418
• On pointed Hopf algebras associated to unmixed conjugacy classes in S_n . (With F. Fantino). Abstract and file, math.QA/0608701. J. Math. Phys. 48, 033502 (2007) (26 pages).
• Extensions of finite quantum groups by finite groups . (With G. García). Abstract and file, math/0608647. Transformation Groups, to appear. 26 pp.
• A family of Poisson non-compact symmetric spaces . (With A. Tiraboschi). Abstract and file, math.DG/0607102. Enviado, 27 pp.
• The structure of double groupoids . (With S. Natale ). Abstract and file, math.CT/0602497. Enviado, 25 pp. Ver comentarios de R. Brown.
• Isomorphism classes and automorphisms of finite Hopf algebras of type A_n . (With H.-J. Schneider ). Abstract and file, math.QA/0511283. Aceptado en las Actas del XVI Coloquio Latinoamericano de Álgebra (Colonia, Uruguay), 27 pp;  Biblioteca de la Revista Matemática Iberoamericana. Versión final.
• On pointed Hopf algebras associated to some conjugacy classes in S_n . (With Shouchuan Zhang ). Abstract and file, math.QA/0511020.  Proc. Amer. Math. Soc. 135  (2007), 2723-2731.
• On observable module categories . (With Walter Ferrer Santos). pdf. in Groups, Rings and Group Rings, Lecture Notes in Pure and Appl. Math. No 248, Chapman & Hall/CRC, Boca Raton, 2006, pp.11-23.
• On the classification of finite-dimensional pointed Hopf algebras . (With H.-J. Schneider ). Abstract and file, math.QA/0502157. Ann. Math., aceptado. 43 pp. Versión final.
• Tensor categories attached to double groupoids. (With Sonia Natale). Abstract and file, math.QA/0408045. Adv. Math. 200 (2006) pp. 539-583.
• Examples of weak Hopf algebras arising from vacant double groupoids. (With Juan Martín Mombelli). Abstract and file, math.QA/0405374. Nagoya Math. J. 181 (2006), 1--27.
• On the quiver-theoretical quantum Yang-Baxter equation. Abstract and file, math.QA/0402269. Selecta Math., New ser. 11 (2005), 203-246. tex, pdf.
• Representations of matched pairs of groupoids and applications to weak Hopf algebras. (With Marcelo Aguiar). Abstract and file, math.QA/0402118. Versión final: pdf. Contemp. Math. 376 (2005), 127-173.
• Irreducible representations of liftings of quantum planes. (With M. Beattie). pdf. Proceedings of V International Workshop "Lie Theory and Its Applications in Physics", (Varna, June 2003), eds. H.-D. Doebner and V.K. Dobrev, (World Sci, Singapore, 2004, ISBN 981-238-936-9). Corrected version, math/0609515.
• Double categories and quantum groupoids. (With S. Natale). Abstract and file, math.QA/0308228. Versión final, Publ. Mat. Urug. 10 11-51 (2005).
• Examples of liftings of Nichols algebras over racks. ps. (With M. Graña). En Algebra Montpellier Announcements, 6 pp.
• Some remarks on Nichols algebras. Abstract and file. En "Hopf algebras", Bergen, Catoiu and Chin (eds.), 25-45 (2004), M. Dekker.
• The coradical of the dual of a lifting of a quantum plane. (With M. Beattie). dvi. En "Hopf algebras", Bergen, Catoiu and Chin (eds.), 47-63 (2004), M. Dekker.
• On simple real Lie bialgebras Abstract and file. (With P. Jancsa). IMRN 2004:3 (2004) 139-158.
• On the automorphisms of $U_q^+({\mathfrak g})$. Abstract and file. (With F. Dumas). Versión final.
• Braided Hopf algebras arising from matched pairs of groups. Abstract and file. (With S. Natale). J. Pure Appl. Alg. 182, 119--149 (2003).
• From racks to pointed Hopf algebras. (With M. Graña) Abstract and file. Adv. in Math. 178 (2), 177--243 (2003).
• A characterization of quantum groups . (With H.-J. Schneider ). Abstract and file. J. Reine Angew. Math. 577, 81--104 (2004).
• Pointed Hopf algebras . (With H.-J. Schneider). In "New directions in Hopf algebras", MSRI series Cambridge Univ. Press; 1--68 (2002). ps.
• Co-Frobenius Hopf algebras and the coradical filtration . (With S. Dascalescu). Math. Z. 243 (2003), no. 1, 145--154. dvi.
• On finite quantum groups at -1 . (With S. Dascalescu). Algebr. Represent. Theory 8 (2005), no. 1, 11--34. dvi.
• New Trends in Hopf Algebra Theory . (Editor, with W. Ferrer Santos and H.-J. Schneider). Contemporary Mathematics, vol. 267. Amer. Math. Soc. (2000).
• Triangular Hopf Algebras With The Chevalley Property . (With P. Etingof and S. Gelaki). Michigan Math. J. 49 (2001), 277--298. Abstract. ps. dvi. Versión publicada
• About finite dimensional Hopf algebras . Notes of a course given at the CIMPA School "Quantum symmetries in theoretical physics and mathematics", Bariloche 2000. Contemp. Math 294, 1--57 (2002). ps. See Contemp. Math. 294
• Harmonic analysis on semisimple Hopf algebras . (With S. Natale). Algebra i Analiz 12, no. 5, (2000), pp. 3--27. Also in St. Petersburg Math. J. 12, no. 5, 713--733 (2001). ps.
• Counting arguments for Hopf algebras of low dimension . (With S. Natale). Tsukuba Math. J. 25, No. 1 (2001), pp. 187--201. Version of March 21, 2000. dvi. tex.
• Finite quantum groups over abelian groups of prime exponent . (With H.-J. Schneider). Preprint (1999). Ann. Sci. Ec. Norm. Super. 35 (2002), 1--26. ps publ.
• Compact matrix quantum groups arising from hermitian Yang-Baxter coalgebras . (With A. Abella). Commun. Alg. 30 (7), 3107--3142 (2002). ps.
• Lie quasi-bialgebras with quasi-triangular decomposition . (With A. Tiraboschi). J. of Lie Theory 10 (2000) 383--397. Abstract. dvi. tex.
• Lifting of Nichols Algebras of Type A₂ and Pointed Hopf Algebras of order p⁴ . (With H.-J. Schneider). Proceedings of the Colloquium "Hopf algebras and quantum groups", Brussels 1998, ed. S. Caeneppel, Marcel Dekker, (2000), 1-15. tex. dvi. ps.
• On the coradical filtration of Hopf algebras whose coradical is a Hopf subalgebra. (With H.-J. Schneider). Bol. Acad. Nacional de Ciencias (Córdoba) 65 (2000), pp. 45--51. tex. dvi.
• Finite quantum groups and Cartan matrices. (With H.-J. Schneider). Adv. Math. 154, 1-45 (2000). Abstract. dvi.
• Examples of self-dual Hopf algebras. (With S. Natale). J. Math. Sci. Univ. Tokyo 6, 181-215 (1999). tex . dvi. Versión publicada
• Braided Hopf algebras over non-abelian groups. (With M. Graña). Bol. Acad. Nacional de Ciencias (Córdoba) 63, 45-78 (1999). dvi.
• Compact quantum groups arising from the FRT construction. (With A. Abella). Bol. Acad. Nacional de Ciencias (Córdoba) 63, 15-44 (1999). ps.
• Lifting of quantum linear spaces and pointed Hopf algebras of order p³. (With H.-J. Schneider). J. Algebra 209, 658-691 (1998).
• Plancherel identity for semisimple Hopf algebras. (With S. Natale). Commun. Alg. 25 (10), 3239-3254 (1997) (MR 99a:16029). pdf
• Hopf algebras of order p² and braided Hopf algebras of order p. (With H.-J. Schneider). J. Algebra 199, 430-454 (1998) (MR 99c:16033).
• Notas de geometría no conmutativa. Boletín Academia Nacional de Ciencias (Córdoba) vol. 61 (1995), pp. 63-82.
• Compact involutions of semisimple quantum groups.  Czech. J. Phys., vol. 44 (1994) pp. 963-972 (MR 96g:16050). pdf.
• Notes on Extensions of Hopf algebras. Canadian J. of Math. 48(1996), pp. 3-42 (MR 97c:16046). Appendix (With H.-J. Schneider).
• Extensions of Hopf algebras. (With J. Devoto). Algebra i Analiz 7, no. 1 (1995), pp. 22-61 (MR 96f:16044).
• Quantum Heisenberg groups and Sklyanin algebras. (With J. Devoto and A.Tiraboschi). Letters in Math. Phys. 31, pp. 167-177, 1994. (MR 95i:17009).
• Lie superbialgebras and Poisson Lie supergroups. Abh. Math. Semin. Univ. Hamb. 63, pp. 147-163, 1993 (MR 94g:17004).
• Examples of compact matrix pseudogroups arising from the twisting operation. (With B. Enriquez). Commun. Math. Phys., 149, p. 195, 1992 (MR 93k:17022).
• Some exceptional compact matrix pseudogroups . Bull. Soc. Math. Fr., 120, p. 297-325, 1992 (MR 93k:17023).  Versión publicada
• On spherical modules. In Proc. of the Third Workshop on Lie Group Repr. and its appl., Carlos Paz, 1989. (Progress in Math. 105, Birkhauser.) (MR 93i:20047).
• On the realization of forms of Kac-Moody algebras. Indag. Mathem. N.S., 2(3), 275-281, 1991 (MR 93f:17036).
• The representation theory of almost compact inner forms of Kac-Moody algebras. Tôhoku Math. J., vol. 43 n. 3 p. 425-445, 1991 (MR 93c:17011).
• Some forms of Kac-Moody algebras. J. of Algebra vol. 147, p. 324- 344, 1992 (MR 93j: 17048). Apéndice por N. A. y G. Rousseau.
• A restriction theorem for modules having a spherical submodule. (With J. Tirao). Trans. AMS, vol. 331, p. 705-725, 1992 (MR 92h:14034).
• Computing some rings of invariants. Actas de la IX Esc. Latinoamer. de Matemática, Notas de Matematica Soc. Mat. Chile vol. IX, núm. 1, pp. 1-18, 1991 (MR 95f:13006).
• A new proof of Tirao's Restriction Theorem. Rev. Unión Mat. Argent., Vol. 35 (dedicado al Prof. J. Rey Pastor), pp. 19-26, 1991. (MR 95a:22016).
• On the Complicatedness of the pair (g, K). Rev. Mat. Univ. Complutense Madr., Vol. 2, n. 1, pp. 13-28, 1989 (MR 90b:14064). Ver comentarios de F. Knop sobre este trabajo.  Versión publicada
• Sur les Algèbres de polynômes graduées. C. R. Acad. Sci. Paris, t. 1308, Serie I, p. 63-65, 1989 (MR 90a:13013).

Otras publicaciones / Other articles

• Lectures on Hopf algebras. Trabajos de Matemática 31/95. FaMAF. pdf texdvi.
• Lectures on Hopf algebras II. In preparation.

• Extensions of Hopf algebras. Trabajos de Matemática 41/99. FaMAF. ps.

• Computation of Bilinear forms. A C++ program for Nichols algebras; Documentation of the program in plain TeX.