Faitg, Matthieu A note on symmetric linear forms and traces on the restricted quantum group \(\bar U_q(\mathfrak{sl}(2))\). (English) Zbl 07224922 Osaka J. Math. 57, No. 3, 575-595 (2020). Reviewer: Jörg Feldvoss (Mobile) MSC: 16T20 17B37 16T05 PDF BibTeX XML Cite \textit{M. Faitg}, Osaka J. Math. 57, No. 3, 575--595 (2020; Zbl 07224922) Full Text: Euclid
Faitg, Matthieu Modular group representations in combinatorial quantization with non-semisimple Hopf algebras. (English) Zbl 1422.16032 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 077, 39 p. (2019). MSC: 16T05 81R05 PDF BibTeX XML Cite \textit{M. Faitg}, SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 077, 39 p. (2019; Zbl 1422.16032) Full Text: DOI arXiv
Dobson, Liam; Kolb, Stefan Factorisation of quasi \(K\)-matrices for quantum symmetric pairs. (English) Zbl 1442.17017 Sel. Math., New Ser. 25, No. 4, Paper No. 63, 55 p. (2019). Reviewer: Sonia Natale (Córdoba) MSC: 17B37 PDF BibTeX XML Cite \textit{L. Dobson} and \textit{S. Kolb}, Sel. Math., New Ser. 25, No. 4, Paper No. 63, 55 p. (2019; Zbl 1442.17017) Full Text: DOI arXiv
Amano, Fumiya; Mizusawa, Yasushi; Morishita, Masanori On mod 3 triple Milnor invariants and triple cubic residue symbols in the Eisenstein number field. (English) Zbl 1444.11222 Res. Number Theory 4, No. 1, Paper No. 7, 29 p. (2018). MSC: 11R32 57K16 PDF BibTeX XML Cite \textit{F. Amano} et al., Res. Number Theory 4, No. 1, Paper No. 7, 29 p. (2018; Zbl 1444.11222) Full Text: DOI arXiv
Moore, Stephen Non-semisimple planar algebras from the representation theory of \(\bar{U}_q(\mathfrak{s} \mathfrak{l}_2)\). (English) Zbl 1434.16018 Rev. Math. Phys. 30, No. 9, Article ID 1850017, 27 p. (2018). MSC: 16T20 17B37 18M05 PDF BibTeX XML Cite \textit{S. Moore}, Rev. Math. Phys. 30, No. 9, Article ID 1850017, 27 p. (2018; Zbl 1434.16018) Full Text: DOI
Mickelsson, Jouko The phase of the scattering operator from the geometry of certain infinite-dimensional groups. (English) Zbl 1302.22015 Lett. Math. Phys. 104, No. 10, 1189-1199 (2014). Reviewer: Walter Freyn (Augsburg) MSC: 22E65 81Q70 81R10 22E67 PDF BibTeX XML Cite \textit{J. Mickelsson}, Lett. Math. Phys. 104, No. 10, 1189--1199 (2014; Zbl 1302.22015) Full Text: DOI arXiv
Gu, Haixia; Wang, Jianpan Krull-Schmidt decomposition of the tensor products of certain simple \(U_q(\mathfrak{gl}_n)\)-modules at a root of unity. (English) Zbl 1313.17021 J. East China Norm. Univ., Nat. Sci. Ed. 2013, No. 6, 1-13 (2013). MSC: 17B37 20G42 PDF BibTeX XML Cite \textit{H. Gu} and \textit{J. Wang}, J. East China Norm. Univ., Nat. Sci. Ed. 2013, No. 6, 1--13 (2013; Zbl 1313.17021) Full Text: DOI
Chen, Qi; Yu, Chih-Chien; Zhang, Yu Three-manifold invariants associated with restricted quantum groups. (English) Zbl 1257.57012 Math. Z. 272, No. 3-4, 987-999 (2012). Reviewer: Kazuo Habiro (Kyoto) MSC: 57M27 81R50 PDF BibTeX XML Cite \textit{Q. Chen} et al., Math. Z. 272, No. 3--4, 987--999 (2012; Zbl 1257.57012) Full Text: DOI
Murakami, Jun; Nagamoto, Koyokazu Logarithmic knot invariants arising from restricted quantum groups. (English) Zbl 1210.57016 Int. J. Math. 19, No. 10, 1203-1213 (2008). MSC: 57M27 17B37 PDF BibTeX XML Cite \textit{J. Murakami} and \textit{K. Nagamoto}, Int. J. Math. 19, No. 10, 1203--1213 (2008; Zbl 1210.57016) Full Text: DOI
Cao, Wancang; Liu, Xiaoshu; Bai, Hongbo; Long, Guilu Bang-bang control suppression of amplitude damping in a three-level atom. (English) Zbl 1210.81042 Sci. China, Ser. G 51, No. 1, 29-37 (2008). MSC: 81Q93 93C95 49J30 PDF BibTeX XML Cite \textit{W. Cao} et al., Sci. China, Ser. G 51, No. 1, 29--37 (2008; Zbl 1210.81042) Full Text: DOI
Gao, Yajun Double Ernst formulation and related symmetries for two dimensional string effective theory in some restricted backgrounds. (Chinese. English summary) Zbl 1079.81562 J. Bohai Univ., Nat. Sci. 25, No. 4, 309-314 (2004). MSC: 81T30 PDF BibTeX XML Cite \textit{Y. Gao}, J. Bohai Univ., Nat. Sci. 25, No. 4, 309--314 (2004; Zbl 1079.81562)
Catoiu, Stefan; Chin, William; Krop, Leonid Two-sided ideals of some finite-dimensional algebras. (English) Zbl 1044.16001 Bahturin, Yuri (ed.), Groups, rings, Lie and Hopf algebras. Based on the international workshop, St. John’s, Canada, May 28–June 1, 2001. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-1220-9/hbk). Math. Appl., Dordr. 555, 25-37 (2003). Reviewer: Jörg Feldvoss (Mobile) MSC: 16D25 16G60 17B50 20C05 16P10 16W35 17B37 PDF BibTeX XML Cite \textit{S. Catoiu} et al., in: Groups, rings, Lie and Hopf algebras. Based on the international workshop, St. John's, Canada, May 28--June 1, 2001. Dordrecht: Kluwer Academic Publishers. 25--37 (2003; Zbl 1044.16001)
Baumann, Pierre; Schmitt, Frédéric Classification of bicovariant differential calculi on quantum groups. (A representation-theoretic approach). (English) Zbl 0926.17012 Commun. Math. Phys. 194, No. 1, 71-86 (1998). Reviewer: P.Šťovíček (Praha) MSC: 17B37 58B32 16W35 PDF BibTeX XML Cite \textit{P. Baumann} and \textit{F. Schmitt}, Commun. Math. Phys. 194, No. 1, 71--86 (1998; Zbl 0926.17012) Full Text: DOI
Ottesen, Johnny T. Infinite dimensional groups and algebras in quantum physics. (English) Zbl 0848.22026 Lecture Notes in Physics. New Series m: Monographs. 27. Berlin: Springer-Verlag. ix, 218 p. (1995). Reviewer: A.N.Pressley (London) MSC: 22E67 22-02 17B68 81R10 81-02 17-02 17B67 PDF BibTeX XML Cite \textit{J. T. Ottesen}, Infinite dimensional groups and algebras in quantum physics. Berlin: Springer-Verlag (1995; Zbl 0848.22026) Full Text: DOI
Guichardet, Alain On the definitions of the quantum group \(\mathcal{U}_ h(\text{sl}(2,k))\) and the restricted dual of \(\mathcal {U}_ h(\text{sl}(n,k))\). (English) Zbl 0824.17015 Tanner, Elizabeth A. (ed.) et al., Noncompact Lie groups and some of their applications: Proceedings of the NATO advanced research workshop on noncompact Lie groups and their physical applications, held in San Antonio, Texas, January 4-8, 1993. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 429, 413-422 (1994). Reviewer: H.H.Andersen (Aarhus) MSC: 17B37 16W30 PDF BibTeX XML Cite \textit{A. Guichardet}, NATO ASI Ser., Ser. C, Math. Phys. Sci. 429, 413--422 (1994; Zbl 0824.17015)
Andersen, H. H.; Jantzen, J. C.; Soergel, Wolfgang Representations of quantum groups at a \(p\)-th root of unity and of semisimple groups in characteristic \(p\): independence of \(p\). (English) Zbl 0802.17009 Astérisque. 220. Paris: Société Mathématique de France, 321 p. (1994). Reviewer: A.N.Pressley (London) MSC: 17B37 17-02 20G40 17B67 PDF BibTeX XML Cite \textit{H. H. Andersen} et al., Representations of quantum groups at a \(p\)-th root of unity and of semisimple groups in characteristic \(p\): independence of \(p\). Paris: Société Mathématique de France (1994; Zbl 0802.17009) Full Text: Link
Nielsen, Erik B. Remarks on the symmetric space \({\mathcal S}p_ 2(\mathcal H )/\mathcal U(\mathcal H)\) and its quantization. (English) Zbl 0814.46067 Math. Scand. 73, No. 2, 190-196 (1993). MSC: 46N50 81S10 22E70 PDF BibTeX XML Cite \textit{E. B. Nielsen}, Math. Scand. 73, No. 2, 190--196 (1993; Zbl 0814.46067) Full Text: DOI EuDML
Andersen, Henning Haahr; Polo, Patrick; Wen, Kexin Injective modules for quantum algebras. (English) Zbl 0755.17005 Am. J. Math. 114, No. 3, 571-604 (1992). Reviewer: E.J.Taft (New Brunswick) MSC: 17B37 20G05 16W30 PDF BibTeX XML Cite \textit{H. H. Andersen} et al., Am. J. Math. 114, No. 3, 571--604 (1992; Zbl 0755.17005) Full Text: DOI
Wollenberg, Manfred On smooth asymptotic constants for the Poincaré group. I. (English) Zbl 0655.47010 Math. Nachr. 135, 213-221 (1988). Reviewer: M.Demuth MSC: 47A40 81U99 PDF BibTeX XML Cite \textit{M. Wollenberg}, Math. Nachr. 135, 213--221 (1988; Zbl 0655.47010) Full Text: DOI
Doughty, Noel A.; Wiltshire, David L. Weyl field strength symmetries for arbitrary helicity and gauge invariant Fierz-Pauli and Rarita-Schwinger wave equations. (English) Zbl 0617.58051 J. Phys. A 19, 3727-3739 (1986). MSC: 58Z05 81T08 35Q99 PDF BibTeX XML Cite \textit{N. A. Doughty} and \textit{D. L. Wiltshire}, J. Phys. A, Math. Gen. 19, 3727--3739 (1986; Zbl 0617.58051) Full Text: DOI
Rehberg, Joachim A representation theorem for four-point functionals in axiomatic quantum field theory. (English) Zbl 0614.46067 Rep., Akad. Wiss. DDR, Inst. Math. R-MATH-02/86, 78 p. (1986). Reviewer: H.Yamagata MSC: 46N99 81T05 81U10 47A40 PDF BibTeX XML
Baumgärtel, H.; Wollenberg, M. Interpolating asymptotic constants for the Poincaré group, in particular on Fock space. (English) Zbl 0577.47010 Math. Nachr. 119, 15-40 (1984). Reviewer: J.Weidmann MSC: 47A40 81U99 PDF BibTeX XML Cite \textit{H. Baumgärtel} and \textit{M. Wollenberg}, Math. Nachr. 119, 15--40 (1984; Zbl 0577.47010) Full Text: DOI