More recent
D. Bagio, G. A. García and Oscar Márquez.
Liftings of Nichols algebras of type B_3.
Preprint:
abstract and file.
G. A. García,
F. Gavarini and Margherita Paolini.
Multiparameter quantum supergroups, deformations and specializations.
Preprint:
abstract and file.
G. A. García and
F. Gavarini .
Quantum group deformations and quantum R-(co)matrices vs. Quantum Duality
Principle.
Preprint:
abstract and file.
G. A. García and
M. Mastnak.
On Hopf algebras whose coradical is a cocentral abelian cleft extension.
Comm. Algebra 52 (8) (2024), 3209–3236. https://doi.org/10.1080/00927872.2024.2316311.
On-line
.
Featured publications
G. A. García and
C. Vay.
Simple modules of small quantum groups at dihedral groups,
DM 29 (2024), no. 1, pp. 1–38.
Open access:
here.
G. A. García and J. A. Gutiérrez.
Quantum subgroups of simple twisted quantum groups at roots of one. Transactions of the AMS,
Vol. 370, No. 5, (2018), 3609--3637.
On line
here .
Preprint:
abstract and file.
Notes.
G. A. García and
M. Mastnak. Deformation by cocycles of pointed Hopf algebras over non-abelian groups, Math. Res. Lett. 22 (2015), 59--92.
On line.
Preprint:
abstract and file.
G. A. García,
F. Gavarini and Margherita Paolini.
Multiparameter quantum supergroups, deformations and specializations.
Preprint:
abstract and file.
G. A. García and
F. Gavarini .
Formal multiparameter quantum groups, deformations and specializations.
nnales de l'Institut Fourier, to appear.
Preprint:
abstract and file.
M. Farinati and G. A. García.
Quantum function algebras from finite-dimensional Nichols algebras.
J. Noncommutative Geometry, Volume 14, Issue 3, 2020, pp. 879--911.
On line.
Preprint:
abstract and file.
G. A. García and
F. Gavarini .
Multiparameter quantum groups at roots of unity.
J. Noncommut. Geom. 16 (2022), 839--926. DOI: 10.4171/JNCG/471.
Preprint:
abstract and file.
Notes.
G. A. García and J. A. Gutiérrez.
Quantum subgroups of simple twisted quantum groups at roots of one. Transactions of the AMS,
Vol. 370, No. 5, (2018), 3609--3637.
On line
here .
Preprint:
abstract and file.
Notes.
G. A. García. Multiparameter quantum groups, bosonizations and cocycle deformations.
Rev. Un. Mat. Argentina, Vol. 57, no. 2 (2016), 1-23.
Online first.
pdf
G. A. García and
M. Mastnak.
On Hopf algebras whose coradical is a cocentral abelian cleft extension.
Comm. Algebra 52 (8) (2024), 3209–3236. https://doi.org/10.1080/00927872.2024.2316311.
On-line
.
N. Andruskiewitsch,
G. Carnovale and
G. A. García.
Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type VII.
Semisimple classes in PSL(n,q) and PSp(2n,q). J. Algebra,
Volume 639, 1 February 2024, Pages 354--397.
On-line
.
Preprint:
abstract and file.
D. Bagio, G. A. García, J. M. Jury Giraldi and O. Marquez.
Finite-dimensional Nichols algebras over dual Radford algebras.
Journal of Algebra and its Applications, Proceedings of the conference "QUANTUM 60 Colloquium on Algebras and
Representations", Vol. 20, No. 01, 2140001 (2021).
DOI
.
Preprint:
abstract and file.
Notes
.
N. Andruskiewitsch,
G. Carnovale and G. A. García.
Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type V.
Mixed classes in Chevalley and Steinberg groups. Manuscripta Mathematica, 166, 605--647 (2021).
On line (free)
here.
Preprint:
abstract and file.
N. Andruskiewitsch,
G. Carnovale and G. A. García.
Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type IV.
Unipotent classes in Chevalley and Steinberg groups. Algebr. Represent. Theory, 23 (2020), 621--655.
On line
here.
Preprint:
abstract and file.
N. Andruskiewitsch,
G. Carnovale and G. A. García. Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type II.
Unipotent classes in symplectic groups. Comm. Contemp. Math., Vol. 18, No. 4 (2016) 1550053 (35 pages)
On-line.
Preprint: abstract and file.
Ktulu (He's so heavy) by Beatallica.
G. A. García and J. M. Jury Giraldi.
On Hopf algebras over quantum subgroups. J. Pure Appl. Algebra, Volume 223 (2019), Issue 2, 738--768.
On line.
Preprint:
abstract and file.
M. Beattie, G. A. García,
Siu-Hung Ng
and Jolie Roat.
Nonsemisimple Hopf algebras of dimension 8p with the Chevalley property, Contemp. Math.,
Volume 728 (2019), 49--66.
On line.
Preprint:
abstract and file.
G. A. García and
M. Mastnak. Deformation by cocycles of pointed Hopf algebras over non-abelian groups, Math. Res. Lett. 22 (2015), 59--92.
On line.
Preprint:
abstract and file.
M. Beattie and G. A. García. Classifying Hopf algebras of a given dimension.
Contemp. Math. 585 (2013), 125--152.
On line.
Preprint:
abstract and file.
M. Beattie and G. A. García. Techniques for classifying Hopf algebras and applications to dimension p^3.
Comm. Algebra, 41 (2013), 3108–3129.
On-line.
Preprint:
abstract and file.
G. A. García and C. Vay. Hopf algebras of dimension 16.
Algebr. Represent. Theory 13, no. 4 (2010), 383--405.
On line.
Preprint:
abstract and file.
G. A. García. On Hopf algebras of dimension p^3.
Tsukuba J. Math. 29 (2005), no. 1, 259--284.
Preprint:
abstract and file.
G. A. García and
C. Vay.
Simple modules of small quantum groups at dihedral groups,
DM 29 (2024), no. 1, pp. 1–38.
Open access:
here.
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