Artículos / Articles de Nicolás
Andruskiewitsch
- On slim double Lie groupoids. (With J. Ochoa and A.
Tiraboschi). Abstract
and file, arXiv:0808.3147. 15 pages. Enviado.
- On pointed Hopf algebras associated with the symmetric
groups.
(With F.
Fantino and S. Zhang). Abstract
and file, arXiv:0807.2406. Manuscripta Math., Vol. 128, N.
3 (March 2009). Pages 359-371. Versión
publicada.
- New techniques for pointed Hopf algebras. (With F.
Fantino). Abstract and
file,
arXiv:0803.3486. 29 pages. To appear in Proceedings of the Sixth
Workshop in Lie Theory and Geometry, Contemp. Math.
- The Nichols algebra of a semisimple Yetter-Drinfeld
module.
(With I.
Heckenberger and H.-J.
Schneider ). Abstract
and
file, arXiv:0803.2430.
Enviado.
- Quantum subgroups of a simple quantum group at roots of 1.
(With G.
García). Abstract
and
file, arXiv:0707.0070.
Compositio Math. 145 (2009), 476-500.
- On Nichols algebras with generic braiding. (With I.
Angiono). Abstract
and
file,arXiv:math/0703924v2 . In "Modules
and Comodules". Trends in Mathematics. Brzezinski, T.; Gómez
Pardo, J.L.; Shestakov, I.; Smith, P.F. (Eds.), pp. 47-64 (2008). ISBN:
978-3-7643-8741-9.
- 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 Vol. 14, N. 1
(March 2009). Pages 1-27. Versión
publicada.
- 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. J. Pure Appl. Algebra Volume
213, Issue 6, June 2009,
Pages 1031-1045. Versión
publicada.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. 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). IRMA
Lectures in Mathematics and Theoretical Physics Vol. 12. Quantum Groups
pp. 107-134. 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). pdf.
- 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
Hans-Jürgen Schneider. hanssch at
rz.mathematik.uni-muenchen.de
- Lectures on Hopf algebras. Trabajos de Matemática
31/95.
FaMAF. pdf texdvi.
Akira Masuoka. akira@math.tsukuba.ac.jpFoto
- Extensions of Hopf algebras. Trabajos de
Matemática
41/99.
FaMAF. ps.
Eric Müller. eric.mueller@akdb.de
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