Diatta, André; Manga, Bakary; Mbaye, Ameth On the classification of 2-solvable Frobenius Lie algebras. (English) Zbl 07734120 J. Lie Theory 33, No. 3, 799-830 (2023). MSC: 17B05 17B08 15A27 53A15 53D15 22E60 17B60 70G45 16W25 13B25 PDFBibTeX XMLCite \textit{A. Diatta} et al., J. Lie Theory 33, No. 3, 799--830 (2023; Zbl 07734120) Full Text: arXiv Link
Kurdachenko, L. A.; Otal, J.; Subbotin, I. Ya. On groups whose subnormal abelian subgroups are normal. (English) Zbl 1516.20059 Adv. Group Theory Appl. 14, 67-94 (2022). Reviewer: Egle Bettio (Venezia) MSC: 20E15 20E34 17B05 PDFBibTeX XMLCite \textit{L. A. Kurdachenko} et al., Adv. Group Theory Appl. 14, 67--94 (2022; Zbl 1516.20059) Full Text: arXiv Link
Engel, Philip Hurwitz theory of elliptic orbifolds. I. (English) Zbl 1472.14034 Geom. Topol. 25, No. 1, 229-274 (2021). MSC: 14H30 05B45 14H52 14K25 17B69 11F23 PDFBibTeX XMLCite \textit{P. Engel}, Geom. Topol. 25, No. 1, 229--274 (2021; Zbl 1472.14034) Full Text: DOI arXiv
di Micco, Davide; Van der Linden, Tim Universal central extensions of internal crossed modules via the non-abelian tensor product. (English) Zbl 1511.18008 Appl. Categ. Struct. 28, No. 5, 717-748 (2020). Reviewer: George Janelidze (Cape Town) MSC: 18E50 18G45 18E13 18D40 20J05 17B55 PDFBibTeX XMLCite \textit{D. di Micco} and \textit{T. Van der Linden}, Appl. Categ. Struct. 28, No. 5, 717--748 (2020; Zbl 1511.18008) Full Text: DOI arXiv
Cigoli, Alan S.; Duvieusart, Arnaud; Gran, Marino; Mantovani, Sandra Galois theory and the categorical Peiffer commutator. (English) Zbl 1440.18010 Homology Homotopy Appl. 22, No. 2, 323-346 (2020). MSC: 18C40 18E13 18G45 20J15 17B55 20J05 PDFBibTeX XMLCite \textit{A. S. Cigoli} et al., Homology Homotopy Appl. 22, No. 2, 323--346 (2020; Zbl 1440.18010) Full Text: DOI arXiv
Coulembier, Kevin The classification of blocks in BGG category \(\mathcal{O}\). (English) Zbl 1483.17009 Math. Z. 295, No. 1-2, 821-837 (2020). Reviewer: Jonathan Gruber (Lausanne) MSC: 17B10 17B20 18E10 20F55 PDFBibTeX XMLCite \textit{K. Coulembier}, Math. Z. 295, No. 1--2, 821--837 (2020; Zbl 1483.17009) Full Text: DOI arXiv
Watanabe, Tatsunari On the completion of the mapping class group of genus two. (English) Zbl 1400.14076 J. Algebra 501, 303-327 (2018). MSC: 14H10 17B30 14C30 14K10 20F65 32G20 55R40 PDFBibTeX XMLCite \textit{T. Watanabe}, J. Algebra 501, 303--327 (2018; Zbl 1400.14076) Full Text: DOI arXiv
Cellini, Paola; Marietti, Mario Root polytopes and abelian ideals. (English) Zbl 1291.05214 J. Algebr. Comb. 39, No. 3, 607-645 (2014). MSC: 05E10 05E16 17B22 52C07 PDFBibTeX XMLCite \textit{P. Cellini} and \textit{M. Marietti}, J. Algebr. Comb. 39, No. 3, 607--645 (2014; Zbl 1291.05214) Full Text: DOI arXiv
Friedlander, Eric M. Spectrum of group cohomology and support varieties. (English) Zbl 1297.20055 J. \(K\)-Theory 11, No. 3, 507-516 (2013). Reviewer: Christopher P. Bendel (Menomonie) MSC: 20J06 20C20 20G10 20G05 17B50 17B56 14L15 PDFBibTeX XMLCite \textit{E. M. Friedlander}, J. \(K\)-Theory 11, No. 3, 507--516 (2013; Zbl 1297.20055) Full Text: DOI Link
Schiffmann, Olivier Lectures on canonical and crystal bases of Hall algebras. (English) Zbl 1356.17015 Brion, Michel (ed.), Geometric methods in representation theory. II. Selected papers based on the presentations at the summer school, Grenoble, France, June 16 – July 4, 2008. Paris: Société Mathématique de France (ISBN 978-2-85629-361-4/pbk). Séminaires et Congrès 24, pt. 2, 143-259 (2012). MSC: 17B37 14D23 14D24 14L30 18E30 PDFBibTeX XMLCite \textit{O. Schiffmann}, Sémin. Congr. 24, 143--259 (2012; Zbl 1356.17015) Full Text: arXiv
Hilgert, Joachim; Neeb, Karl-Hermann Structure and geometry of Lie groups. (English) Zbl 1229.22008 Springer Monographs in Mathematics. Berlin: Springer (ISBN 978-0-387-84793-1/hbk; 978-0-387-84794-8/ebook). x, 744 p. (2012). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E15 22-01 17B05 53C30 PDFBibTeX XMLCite \textit{J. Hilgert} and \textit{K.-H. Neeb}, Structure and geometry of Lie groups. Berlin: Springer (2012; Zbl 1229.22008) Full Text: DOI
Khalili, Valiollah Extension data and their Lie algebras. (English) Zbl 1253.17015 Algebra Colloq. 18, No. 3, 461-474 (2011). Reviewer: Michael Kuznetsov (Nizhnij Novgorod) MSC: 17B67 17B20 17B05 PDFBibTeX XMLCite \textit{V. Khalili}, Algebra Colloq. 18, No. 3, 461--474 (2011; Zbl 1253.17015) Full Text: DOI Link
Johnson, Marianne; Stöhr, Ralph Free central extensions of groups and modular Lie powers of relation modules. (English) Zbl 1227.20025 Proc. Am. Math. Soc. 138, No. 11, 3807-3814 (2010). Reviewer: Natalia Yu. Makarenko (Mulhouse) MSC: 20E05 20E22 17B01 20F14 20J05 20E07 20C07 PDFBibTeX XMLCite \textit{M. Johnson} and \textit{R. Stöhr}, Proc. Am. Math. Soc. 138, No. 11, 3807--3814 (2010; Zbl 1227.20025) Full Text: DOI
Ramírez, Felipe A. Cocycles over higher-rank abelian actions on quotients of semisimple Lie groups. (English) Zbl 1200.37006 J. Mod. Dyn. 3, No. 3, 335-357 (2009). Reviewer: Yuri V. Rogovchenko (Umeå) MSC: 37A20 17B56 47A67 57T10 PDFBibTeX XMLCite \textit{F. A. Ramírez}, J. Mod. Dyn. 3, No. 3, 335--357 (2009; Zbl 1200.37006) Full Text: DOI arXiv
Isaev, Alexei P.; Pyatov, Pavel Spectral extension of the quantum group cotangent bundle. (English) Zbl 1179.58003 Commun. Math. Phys. 288, No. 3, 1137-1179 (2009). Reviewer: Akira Asada (Takarazuka) MSC: 58B32 16T20 81R50 17B37 20G42 14K25 PDFBibTeX XMLCite \textit{A. P. Isaev} and \textit{P. Pyatov}, Commun. Math. Phys. 288, No. 3, 1137--1179 (2009; Zbl 1179.58003) Full Text: DOI arXiv
Panyushev, Dmitri; Röhrle, Gerhard On spherical ideals of Borel subalgebras. (English) Zbl 1076.14061 Arch. Math. 84, No. 3, 225-232 (2005). Reviewer: Christopher P. Bendel (Menomonie) MSC: 14L30 17B45 14M17 17B05 20G15 PDFBibTeX XMLCite \textit{D. Panyushev} and \textit{G. Röhrle}, Arch. Math. 84, No. 3, 225--232 (2005; Zbl 1076.14061) Full Text: DOI
Panyushev, Dmitri I. Long Abelian ideals. (English) Zbl 1052.17002 Adv. Math. 186, No. 2, 307-316 (2004). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B10 14L30 17B35 PDFBibTeX XMLCite \textit{D. I. Panyushev}, Adv. Math. 186, No. 2, 307--316 (2004; Zbl 1052.17002) Full Text: DOI arXiv
Panyushev, Dmitri I. Abelian ideals of a Borel subalgebra and long positive roots. (English) Zbl 1067.17004 Int. Math. Res. Not. 2003, No. 35, 1889-1913 (2003). Reviewer: M. Pilar Benito Clavijo (Logroño) MSC: 17B05 17B20 PDFBibTeX XMLCite \textit{D. I. Panyushev}, Int. Math. Res. Not. 2003, No. 35, 1889--1913 (2003; Zbl 1067.17004) Full Text: DOI arXiv
Bautista, César Braided identities, quantum groups, and Clifford algebras. (English) Zbl 0976.17008 Int. J. Theor. Phys. 40, No. 1, 55-65 (2001). Reviewer: Earl J.Taft (New Brunswick) MSC: 17B37 15A66 81R50 18E10 16W30 PDFBibTeX XMLCite \textit{C. Bautista}, Int. J. Theor. Phys. 40, No. 1, 55--65 (2001; Zbl 0976.17008) Full Text: DOI
Pianzola, A. Line bundles and conjugacy theorems for toroidal Lie algebras. (English) Zbl 1011.17008 C. R. Math. Acad. Sci., Soc. R. Can. 22, No. 3, 125-128 (2000). Reviewer: O.Ninnemann (Berlin) MSC: 17B05 14L15 PDFBibTeX XMLCite \textit{A. Pianzola}, C. R. Math. Acad. Sci., Soc. R. Can. 22, No. 3, 125--128 (2000; Zbl 1011.17008)
Mazorchuk, V. Verma modules over Lie algebras defined by torsion-free abelian groups. (English) Zbl 0954.17015 Mat. Stud. 9, No. 2, 120-124 (1998). MSC: 17B68 17B10 PDFBibTeX XMLCite \textit{V. Mazorchuk}, Mat. Stud. 9, No. 2, 120--124 (1998; Zbl 0954.17015)
Kostant, Bertram The set of abelian ideals of a Borel subalgebra, Cartan decompositions, and discrete series representations. (English) Zbl 0896.17002 Int. Math. Res. Not. 1998, No. 5, 225-252 (1998). Reviewer: M.R.Sepanski (Stillwater) MSC: 17B05 22E47 PDFBibTeX XMLCite \textit{B. Kostant}, Int. Math. Res. Not. 1998, No. 5, 225--252 (1998; Zbl 0896.17002) Full Text: DOI
Finkelstein, Robert J. \(q\)-gravity. (English) Zbl 0858.17031 Lett. Math. Phys. 38, No. 1, 53-62 (1996). MSC: 17B81 83C99 81T13 81R50 PDFBibTeX XMLCite \textit{R. J. Finkelstein}, Lett. Math. Phys. 38, No. 1, 53--62 (1996; Zbl 0858.17031) Full Text: DOI
Tuite, Michael P. Generalised Moonshine and abelian orbifold constructions. (English) Zbl 0841.17016 Dong, Chongying (ed.) et al., Moonshine, the monster, and related topics. Joint summer research conference on moonshine, the monster, and related topics, June 18-23, 1994, Mount Holyoke College, South Hadley, MA, USA. Providence, RI: American Mathematical Society. Contemp. Math. 193, 353-368 (1996). Reviewer: M.Primc (Zagreb) MSC: 17B69 81T40 20D08 11F22 PDFBibTeX XMLCite \textit{M. P. Tuite}, Contemp. Math. 193, 353--368 (1996; Zbl 0841.17016) Full Text: arXiv
Shimizu, Yuji Abelian conformal field theory and \(N=2\) supercurves. (English) Zbl 0848.17026 J. Math. Kyoto Univ. 35, No. 4, 583-605 (1995). Reviewer: W.Kleinert (Berlin) MSC: 17B68 81T40 30F99 14H05 14K25 14H10 PDFBibTeX XMLCite \textit{Y. Shimizu}, J. Math. Kyoto Univ. 35, No. 4, 583--605 (1995; Zbl 0848.17026) Full Text: DOI
Weibel, Charles A. An introduction to homological algebra. 1st pbk-ed. 1st pbk-ed. (English) Zbl 0834.18001 Cambridge Studies in Advanced Mathematics. 38. Cambridge: Cambridge Univ. Press. xiv, 450 p. (1995). MSC: 18-01 18Gxx 55Uxx 16Exx 18E30 20F99 17B55 PDFBibTeX XMLCite \textit{C. A. Weibel}, An introduction to homological algebra. 1st pbk-ed. Cambridge: Cambridge Univ. Press (1995; Zbl 0834.18001)
de Azcárraga, José A.; Izquierdo, José M. Lie groups, Lie algebras, cohomology and some applications in physics. (English) Zbl 0836.22027 Cambridge Monographs on Mathematical Physics. Cambridge: Cambridge Univ. Press. xvii, 455 p. (1995). Reviewer: A.A.Bogush (Minsk) MSC: 22E60 17B56 17B65 17B67 57T10 81R10 17B68 81T13 17-02 22-02 20J06 20J05 PDFBibTeX XMLCite \textit{J. A. de Azcárraga} and \textit{J. M. Izquierdo}, Lie groups, Lie algebras, cohomology and some applications in physics. Cambridge: Cambridge Univ. Press (1995; Zbl 0836.22027)
Barnich, Glenn; Brandt, Friedemann; Henneaux, Marc Local BRST cohomology in Einstein-Yang-Mills theory. (English) Zbl 0925.53044 Nucl. Phys., B 455, No. 1-2, 357-408 (1995). MSC: 53Z05 81T13 17B56 83C99 81T70 PDFBibTeX XMLCite \textit{G. Barnich} et al., Nucl. Phys., B 455, No. 1--2, 357--408 (1995; Zbl 0925.53044) Full Text: DOI arXiv
Weibel, Charles A. An introduction to homological algebra. (English) Zbl 0797.18001 Cambridge Studies in Advanced Mathematics. 38. Cambridge: Cambridge University Press. xiv, 450 p. (1994). Reviewer: Werner Kleinert (Berlin) MSC: 18-01 18Gxx 16Exx 18E30 20F99 17B55 55Uxx PDFBibTeX XMLCite \textit{C. A. Weibel}, An introduction to homological algebra. Cambridge: Cambridge University Press (1994; Zbl 0797.18001)
Zhang, Hantao A case study of completion modulo distributivity and abelian groups. (English) Zbl 1503.68297 Kirchner, Claude (ed.), Rewriting techniques and applications. 5th international conference RTA-93, Montréal, Canada, June 16–18, 1993. Proceedings. Berlin: Springer-Verlag. Lect. Notes Comput. Sci. 690, 32-46 (1993). MSC: 68V15 03B35 17-08 17D05 20-08 20K99 68Q42 PDFBibTeX XMLCite \textit{H. Zhang}, Lect. Notes Comput. Sci. 690, 32--46 (1993; Zbl 1503.68297) Full Text: DOI
Zarkhin, Yu. G. Abelian varieties and Lie algebras. (English. Russian original) Zbl 0877.14029 Bazykin, A. (ed.) et al., Mathematics and modelling. Commack, NY: Nova Science Publishers, Inc. 83-142 (1993). Reviewer: T.Ooe (MR 95f:14087) MSC: 14K05 17B10 PDFBibTeX XMLCite \textit{Yu. G. Zarkhin}, in: Mathematics and modelling. Commack, NY: Nova Science Publishers, Inc.. 83--142 (1993; Zbl 0877.14029)
Malyshev, C. Underlying algebraic and gauge structures of the theory of disclinations. (English) Zbl 0785.73067 Arch. Mech. 45, No. 1, 93-105 (1993). MSC: 74A60 74M25 74Axx 81T13 17B81 PDFBibTeX XMLCite \textit{C. Malyshev}, Arch. Mech. 45, No. 1, 93--105 (1993; Zbl 0785.73067)
Bullejos, M.; Carrasco, P.; Cabello, J. G.; Cegarra, A. M.; Garzon, A. R.; Miranda, J. G. Homotopical methods in the theory of algebraic obstruction. (Spanish) Zbl 0809.55010 Hommage to Pablo Bobillo Guerrero. Granada: Universidad de Granada, Departamento de Análisis Matemático, 163-181 (1992). Reviewer: M.Bullejos (Granada) MSC: 55U35 55S35 20J05 17B55 PDFBibTeX XMLCite \textit{M. Bullejos} et al., in: Homenaje a Pablo Bobillo Guerrero. Granada: Universidad de Granada, Departamento de Análisis Matemático. 163--181 (1992; Zbl 0809.55010)
de la Peña, J. A. The Weyl group of a wild graph. (English) Zbl 0797.16017 Representations of finite dimensional algebras, Proc. 5th ICRA Conf., Tsukuba /Japan 1990, CMS Conf. Proc. 11, 159-171 (1991). Reviewer: V.L.Popov (Moskva) MSC: 16G60 20F55 20C07 20E07 17B67 20C15 16G20 20G05 PDFBibTeX XMLCite \textit{J. A. de la Peña}, CMS Conf. Proc. 11, 159--171 (1991; Zbl 0797.16017)
Ozawa, Tetsuya Quantization of a Poisson algebra and polynomials associated to links. (English) Zbl 0716.57005 Nagoya Math. J. 120, 113-127 (1990). Reviewer: J.Huebschmann MSC: 57M25 57N05 17B65 81R50 57M05 57N10 PDFBibTeX XMLCite \textit{T. Ozawa}, Nagoya Math. J. 120, 113--127 (1990; Zbl 0716.57005) Full Text: DOI
Shafarevich, Igor R. Collected mathematical papers. Translated from the Russian. (English) Zbl 0669.12001 Berlin etc.: Springer-Verlag (ISBN 3-540-13618-5). 784 p. (1989). Reviewer: Jean Dieudonné (Paris) MSC: 12-03 01A75 11R32 14-03 14G25 14G05 17B50 20E18 20F29 PDFBibTeX XMLCite \textit{I. R. Shafarevich}, Collected mathematical papers. Translated from the Russian. Berlin etc.: Springer-Verlag (1989; Zbl 0669.12001)
Bunce, L. J.; Wright, J. D. Maitland Introduction to the K-theory of Jordan \(C^*\)-algebras. (English) Zbl 0713.46042 Q. J. Math., Oxf. II. Ser. 40, No. 160, 377-398 (1989). Reviewer: Sh.A.Ayupov MSC: 46L70 46L80 17C65 PDFBibTeX XMLCite \textit{L. J. Bunce} and \textit{J. D. M. Wright}, Q. J. Math., Oxf. II. Ser. 40, No. 160, 377--398 (1989; Zbl 0713.46042) Full Text: DOI
Pickrell, Doug On the Mickelsson-Faddeev extension and unitary representations. (English) Zbl 0688.22003 Commun. Math. Phys. 123, No. 4, 617-625 (1989). Reviewer: E.Kryachko MSC: 22E65 22E70 81T60 17B65 58J50 81R10 81T05 PDFBibTeX XMLCite \textit{D. Pickrell}, Commun. Math. Phys. 123, No. 4, 617--625 (1989; Zbl 0688.22003) Full Text: DOI
Hou, Bo Yu; Zhang, Yao Zhong Some remarks on the extension of loop groups. (English) Zbl 0636.22014 J. Phys. A 21, No. 2, 345-352 (1988). Reviewer: Sidney Scull (Downsview / Ontario) MSC: 22E65 17B67 81R20 81T08 PDFBibTeX XMLCite \textit{B. Y. Hou} and \textit{Y. Z. Zhang}, J. Phys. A, Math. Gen. 21, No. 2, 345--352 (1988; Zbl 0636.22014) Full Text: DOI
Baumslag, Gilbert; Stammbach, Urs Free exterior powers of nonfree modules and homology. (English) Zbl 0611.20033 Am. J. Math. 109, 35-56 (1987). Reviewer: J.R.J.Groves MSC: 20J05 20F16 17B55 16S34 20C07 PDFBibTeX XMLCite \textit{G. Baumslag} and \textit{U. Stammbach}, Am. J. Math. 109, 35--56 (1987; Zbl 0611.20033) Full Text: DOI
O’Raifeartaigh, L. Group structure of gauge theories. (English) Zbl 0606.22013 Cambridge Monographs on Mathematical Physics. Cambridge etc.: Cambridge University Press (ISBN 0-521-25293-8/hbk; 978-0-511-56403-1/ebook). IX, 172 p. (1986). Reviewer: R.C.King MSC: 22E70 17B10 81T60 53C80 22-02 81-02 22E46 PDFBibTeX XMLCite \textit{L. O'Raifeartaigh}, Group structure of gauge theories. Cambridge etc.: Cambridge University Press (1986; Zbl 0606.22013) Full Text: DOI
Artamonov, V. A. Projective non-free modules over universal enveloping algebras. (Russian) Zbl 0732.17005 Studies in algebra, Tbilisi, 5-19 (1984). MSC: 17B10 17B35 16S34 17B05 PDFBibTeX XML
André, Yves Sur certaines algèbres de Lie associées aux schémas abéliens. (On certain Lie algebras associated with abelian schemes). (French) Zbl 0609.14024 C. R. Acad. Sci., Paris, Sér. I 299, 137-140 (1984). MSC: 14K20 53C05 17B45 14G99 PDFBibTeX XMLCite \textit{Y. André}, C. R. Acad. Sci., Paris, Sér. I 299, 137--140 (1984; Zbl 0609.14024)
Zarkhin, Yu. G. Abelian varieties, \(\ell\)-adic representations and Lie algebras. Rank independence on \(\ell\). (English) Zbl 0424.14015 Invent. Math. 55, 165-176 (1979). MSC: 14K15 14G25 17B20 14L30 11R32 PDFBibTeX XMLCite \textit{Yu. G. Zarkhin}, Invent. Math. 55, 165--176 (1979; Zbl 0424.14015) Full Text: DOI EuDML
Wall, G. E. Lie methods in group theory. (English) Zbl 0404.20033 Top. in Algebra, Proc. 18th Summer Res. Inst. Aust. math. Soc., Canberra 1978, Lect. Notes Math. 697, 137-173 (1978). MSC: 20F40 20F50 20F14 20C05 20C07 20E05 20E10 20K99 16W10 16W50 16S34 17B60 PDFBibTeX XML