Andruskiewitsch, Nicolás; Angiono, Iván; Yakimov, Milen Poisson orders on large quantum groups. (English) Zbl 07707517 Adv. Math. 428, Article ID 109134, 66 p. (2023). Reviewer: Serban Raianu (Torrance) MSC: 16T05 16T20 17B37 17B62 PDFBibTeX XMLCite \textit{N. Andruskiewitsch} et al., Adv. Math. 428, Article ID 109134, 66 p. (2023; Zbl 07707517) Full Text: DOI arXiv
Andruskiewitsch, Nicolás; Angiono, Iván; Rossi Bertone, Fiorela Lie algebras arising from Nichols algebras of diagonal type. (English) Zbl 07672855 Int. Math. Res. Not. 2023, No. 4, 3424-3459 (2023). Reviewer: Luz Adriana Mejia Castaño (Barranquilla) MSC: 16T20 16T05 17B37 PDFBibTeX XMLCite \textit{N. Andruskiewitsch} et al., Int. Math. Res. Not. 2023, No. 4, 3424--3459 (2023; Zbl 07672855) Full Text: DOI arXiv
Andruskiewitsch, Nicolás; Dumas, François; Peña Pollastri, Héctor Martín On the double of the Jordan plane. (English) Zbl 1511.16026 Ark. Mat. 60, No. 2, 213-229 (2022). Reviewer: Sonia Natale (Córdoba) MSC: 16T05 16S36 16T20 PDFBibTeX XMLCite \textit{N. Andruskiewitsch} et al., Ark. Mat. 60, No. 2, 213--229 (2022; Zbl 1511.16026) Full Text: DOI arXiv
Andruskiewitsch, N.; Angiono, I.; Pevtsova, J.; Witherspoon, S. Cohomology rings of finite-dimensional pointed Hopf algebras over abelian groups. (English) Zbl 1510.16005 Res. Math. Sci. 9, No. 1, Paper No. 12, 132 p. (2022). Reviewer: Arkadiusz Bochniak (Garching) MSC: 16E40 16T20 PDFBibTeX XMLCite \textit{N. Andruskiewitsch} et al., Res. Math. Sci. 9, No. 1, Paper No. 12, 132 p. (2022; Zbl 1510.16005) Full Text: DOI arXiv
Andruskiewitsch, Nicolás; Bagio, Dirceu; Flora, Saradia Della; Flôres, Daiana Examples of finite-dimensional pointed Hopf algebras in characteristic 2. (English) Zbl 1507.16035 Glasg. Math. J. 64, No. 1, 65-78 (2022). Reviewer: Jörg Feldvoss (Mobile) MSC: 16T20 17B37 PDFBibTeX XMLCite \textit{N. Andruskiewitsch} et al., Glasg. Math. J. 64, No. 1, 65--78 (2022; Zbl 1507.16035) Full Text: DOI arXiv
Andruskiewitsch, Nicolás; Pollastri, Héctor Martín Peña On the finite-dimensional representations of the double of the Jordan plane. arXiv:2211.01581 Preprint, arXiv:2211.01581 [math.RT] (2022). MSC: 16T05 16T20 17B37 17B62 BibTeX Cite \textit{N. Andruskiewitsch} and \textit{H. M. P. Pollastri}, ``On the finite-dimensional representations of the double of the Jordan plane'', Preprint, arXiv:2211.01581 [math.RT] (2022) Full Text: arXiv OA License
Andruskiewitsch, Nicolás; Angiono, Iván; Heckenberger, István Examples of finite-dimensional pointed Hopf algebras in positive characteristic. (English) Zbl 1497.16033 Alekseev, Anton (ed.) et al., Representation theory, mathematical physics, and integrable systems. In honor of Nicolai Reshetikhin. Cham: Birkhäuser. Prog. Math. 340, 1-38 (2021). MSC: 16T20 17B37 PDFBibTeX XMLCite \textit{N. Andruskiewitsch} et al., Prog. Math. 340, 1--38 (2021; Zbl 1497.16033) Full Text: DOI arXiv
Andruskiewitsch, Nicolás; Angiono, Iván; Heckenberger, István On finite GK-dimensional Nichols algebras over abelian groups. (English) Zbl 1507.16002 Memoirs of the American Mathematical Society 1329. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4830-1/pbk; 978-1-4704-6636-7/ebook). ix, 125 p. (2021). Reviewer: Sorin Dascalescu (Bucureşti) MSC: 16-02 16T20 17B37 PDFBibTeX XMLCite \textit{N. Andruskiewitsch} et al., On finite GK-dimensional Nichols algebras over abelian groups. Providence, RI: American Mathematical Society (AMS) (2021; Zbl 1507.16002) Full Text: DOI arXiv
Andruskiewitsch, Nicolás; Sanmarco, Guillermo Finite GK-dimensional pre-Nichols algebras of quantum linear spaces and of Cartan type. (English) Zbl 1484.16041 Trans. Am. Math. Soc., Ser. B 8, 296-329 (2021). Reviewer: Can Hatipoglu (Egaila) MSC: 16T20 17B37 PDFBibTeX XMLCite \textit{N. Andruskiewitsch} and \textit{G. Sanmarco}, Trans. Am. Math. Soc., Ser. B 8, 296--329 (2021; Zbl 1484.16041) Full Text: DOI arXiv
Andruskiewitsch, Nicolás (ed.); Nikshych, Dmitri (ed.) Tensor categories and Hopf algebras. Scientific session of the Mathematical Congress of the Americas ‘Hopf algebras and tensor categories’, Montreal, Canada, July 27–28, 2017. (English) Zbl 1415.18001 Contemporary Mathematics 728. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4321-4/pbk; 978-1-4704-5239-1/ebook). viii, 199 p. (2019). MSC: 18-02 16-02 16D90 16E65 16T05 16T20 16W50 17B37 17D05 18D10 20G05 00B25 PDFBibTeX XMLCite \textit{N. Andruskiewitsch} (ed.) and \textit{D. Nikshych} (ed.), Tensor categories and Hopf algebras. Scientific session of the Mathematical Congress of the Americas `Hopf algebras and tensor categories', Montreal, Canada, July 27--28, 2017. Providence, RI: American Mathematical Society (AMS) (2019; Zbl 1415.18001) Full Text: DOI
Andruskiewitsch, Nicolás; Schweigert, Christoph On unrolled Hopf algebras. (English) Zbl 1434.16016 J. Knot Theory Ramifications 27, No. 10, Article ID 1850053, 15 p. (2018). MSC: 16T05 16T20 PDFBibTeX XMLCite \textit{N. Andruskiewitsch} and \textit{C. Schweigert}, J. Knot Theory Ramifications 27, No. 10, Article ID 1850053, 15 p. (2018; Zbl 1434.16016) Full Text: DOI arXiv
Andruskiewitsch, Nicolás; Angiono, Iván; Mejía, Adriana; Renz, Carolina Simple modules of the quantum double of the Nichols algebra of unidentified diagonal type \(\mathfrak{ufo}(7)\). (English) Zbl 1440.16037 Commun. Algebra 46, No. 4, 1770-1798 (2018). MSC: 16T20 17B37 PDFBibTeX XMLCite \textit{N. Andruskiewitsch} et al., Commun. Algebra 46, No. 4, 1770--1798 (2018; Zbl 1440.16037) Full Text: DOI arXiv Link
Andruskiewitsch, Nicolás; Angiono, Iván; Rossi Bertone, Fiorela The quantum divided power algebra of a finite-dimensional Nichols algebra of diagonal type. (English) Zbl 1406.16035 Math. Res. Lett. 24, No. 3, 619-643 (2017). MSC: 16T20 16T05 PDFBibTeX XMLCite \textit{N. Andruskiewitsch} et al., Math. Res. Lett. 24, No. 3, 619--643 (2017; Zbl 1406.16035) Full Text: DOI arXiv
Andruskiewitsch, Nicolás; Angiono, Iván On finite dimensional Nichols algebras of diagonal type. (English) Zbl 1407.16028 Bull. Math. Sci. 7, No. 3, 353-573 (2017). MSC: 16T05 16T20 17B22 17B37 17B50 PDFBibTeX XMLCite \textit{N. Andruskiewitsch} and \textit{I. Angiono}, Bull. Math. Sci. 7, No. 3, 353--573 (2017; Zbl 1407.16028) Full Text: DOI arXiv
Andruskiewitsch, Nicolás; Angiono, Iván; Bertone, Fiorela Rossi A finite-dimensional Lie algebra arising from a Nichols algebra of diagonal type (rank 2). (English) Zbl 1425.17016 Bull. Belg. Math. Soc. - Simon Stevin 24, No. 1, 15-34 (2017). MSC: 17B35 16T05 16T20 17B22 PDFBibTeX XMLCite \textit{N. Andruskiewitsch} et al., Bull. Belg. Math. Soc. - Simon Stevin 24, No. 1, 15--34 (2017; Zbl 1425.17016) Full Text: arXiv Euclid
Andruskiewitsch, Nicolás On finite-dimensional Hopf algebras. (English) Zbl 1373.16056 Jang, Sun Young (ed.) et al., Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13–21, 2014. Vol. II: Invited lectures. Seoul: KM Kyung Moon Sa (ISBN 978-89-6105-805-6/hbk; 978-89-6105-803-2/set). 117-141 (2014). MSC: 16T05 16T20 17B37 16T25 20G42 PDFBibTeX XMLCite \textit{N. Andruskiewitsch}, in: Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13--21, 2014. Vol. II: Invited lectures. Seoul: KM Kyung Moon Sa. 117--141 (2014; Zbl 1373.16056) Full Text: arXiv
Andruskiewitsch, Nicolás; Bichon, Julien Examples of inner linear Hopf algebras. (English) Zbl 1218.16018 Rev. Unión Mat. Argent. 51, No. 1, 7-18 (2010). MSC: 16T05 16T20 17B37 PDFBibTeX XMLCite \textit{N. Andruskiewitsch} and \textit{J. Bichon}, Rev. Unión Mat. Argent. 51, No. 1, 7--18 (2010; Zbl 1218.16018) Full Text: arXiv
Andruskiewitsch, Nicolás (ed.); Natale, Sonia (ed.) Special issue: Selected papers based on the presentations at the colloquium on Hopf algebras, quantum groups and tensor categories, La Falda, Córdoba, Spain, August 31–September 4, 2009 and the conference in honor of Hans-Jürgen Schneider’s 65th birthday, Córdoba, Argentina, September 5, 2009. (English) Zbl 1217.16002 Rev. Unión Mat. Argent. 51, No. 1, 210 p. (2010). MSC: 16-06 00B25 16T05 16T20 PDFBibTeX XML
Andruskiewitsch, Nicolás; García, Gastón Andrés Quantum subgroups of a simple quantum group at roots of one. (English) Zbl 1236.17019 Compos. Math. 145, No. 2, 476-500 (2009). Reviewer: Sorin Dascalescu (Bucureşti) MSC: 17B37 16T20 20G42 PDFBibTeX XMLCite \textit{N. Andruskiewitsch} and \textit{G. A. García}, Compos. Math. 145, No. 2, 476--500 (2009; Zbl 1236.17019) Full Text: DOI arXiv
Andruskiewitsch, Nicolás; Angiono, Iván Ezequiel On Nichols algebras with generic braiding. (English) Zbl 1227.16022 Brzeziński, Tomasz (ed.) et al., Modules and comodules. Proceedings of the international conference, Porto, Portugal, September 6–8, 2006. Dedicated to Robert Wisbauer on the occasion of his 65th birthday. Basel: Birkhäuser (ISBN 978-3-7643-8741-9/hbk). Trends in Mathematics, 47-64 (2008). MSC: 16T05 16P90 17B37 16T20 16W20 PDFBibTeX XMLCite \textit{N. Andruskiewitsch} and \textit{I. E. Angiono}, in: Modules and comodules. Proceedings of the international conference, Porto, Portugal, September 6--8, 2006. Dedicated to Robert Wisbauer on the occasion of his 65th birthday. Basel: Birkhäuser. 47--64 (2008; Zbl 1227.16022) Full Text: arXiv
Andruskiewitsch, N.; Beattie, Margaret Irreducible representations of liftings of quantum planes. (English) Zbl 1229.16025 Doebner, H.-D.(ed.) et al., Lie theory and its applications in physics V. Proceedings of the 5th international workshop, Varna, Bulgaria, June 16–22, 2003. Hackensack, NJ: World Scientific (ISBN 981-238-936-9). 414-423 (2005). MSC: 16T20 17B37 PDFBibTeX XMLCite \textit{N. Andruskiewitsch} and \textit{M. Beattie}, in: Lie theory and its applications in physics V. Proceedings of the 5th international workshop, Varna, Bulgaria, June 16--22, 2003. Hackensack, NJ: World Scientific. 414--423 (2005; Zbl 1229.16025) Full Text: DOI arXiv
Andruskiewitsch, Nicolás Compact involutions of semisimple quantum groups. (English) Zbl 1247.16030 Czech. J. Phys. 44, No. 11-12, 963-972 (1994). MSC: 16T20 17B37 PDFBibTeX XMLCite \textit{N. Andruskiewitsch}, Czech. J. Phys. 44, No. 11--12, 963--972 (1994; Zbl 1247.16030) Full Text: DOI