Edit Profile (opens in new tab) Nebe, Gabriele Co-Author Distance Author ID: nebe.gabriele Published as: Nebe, Gabriele; Nebe, G. Homepage: http://www.math.rwth-aachen.de/~Gabriele.Nebe/ External Links: MGP · Wikidata · GND · IdRef · theses.fr Documents Indexed: 116 Publications since 1993, including 4 Books 5 Contributions as Editor · 2 Further Contributions Reviewing Activity: 86 Reviews Co-Authors: 67 Co-Authors with 78 Joint Publications 1,778 Co-Co-Authors all top 5 Co-Authors 41 single-authored 11 Venkov, Boris B. 7 Bachoc, Christine 6 Coulangeon, Renaud 6 Rains, Eric M. 5 Sloane, Neil James Alexander 4 Hentschel, Michael 3 Günther, Annika 3 Hu, Sihuang 3 Kirschmer, Markus 3 Koch, Helmut 3 Krieg, Aloys 3 Plesken, Wilhelm 2 Bayer-Fluckiger, Eva 2 Borello, Martino 2 Braun, Oliver 2 Cohen, Arjeh Marcel 2 El Maazouz, Yassine 2 Gross, Benedict Hyman 2 Liebhold, Dirk 2 Stanojkovski, Mima 1 Abramenko, Peter 1 Agricola, Ilka 1 Anas Hahn, Marvin 1 Böcherer, Siegfried 1 Bracken, Carl 1 Byrne, Eimear 1 Chill, Ralph 1 Chisholm, Sarah 1 Dalla Volta, Francesca 1 de Oliveira Filho, Fernando Mário 1 Deines-Schartz, Alyson 1 Eick, Bettina 1 Eisenbarth, Simon 1 Feaver, Amy 1 Feulner, Thomas 1 Fourier, Ghislain 1 Gohlisch, Claudia 1 Götze, Friedrich 1 Grötschel, Martin 1 Haensch, Anna 1 Henn, Andreas 1 Hertweck, Martin 1 Holt, Derek F. 1 Hulek, Klaus 1 Jespers, Eric 1 Kimmerle, Wolfgang 1 Künzer, Matthias 1 Liu, Jingbo 1 Long, Ling 1 Marciniak, Zbigniew S. 1 McGuire, Gary 1 Michor, Peter Wolfram 1 Miezaki, Tsuyoshi 1 Munemasa, Akihiro 1 Nossek, Elisabeth 1 O’Brien, Eamonn A. 1 Pellarin, Federico 1 Prömel, Hans Jürgen 1 Quebbemann, Heinz-Georg 1 Rees, Sarah 1 Schäfer, Artur 1 Schindelar, Kristina 1 Schönnenbeck, Sebastian 1 Solé, Patrick 1 Steel, Allan K. 1 Sturmfels, Bernd 1 Swisher, Holly 1 Teider, Maria 1 Vallentin, Frank 1 Vázquez-Castro, Ángeles 1 Villar, Darwin 1 Vygen, Jens 1 Willems, Wolfgang 1 Woeginger, Gerhard 1 Xing, Chaoping all top 5 Serials 10 Journal of Algebra 8 Journal of Number Theory 6 Archiv der Mathematik 6 Journal de Théorie des Nombres de Bordeaux 5 International Journal of Number Theory 4 Journal für die Reine und Angewandte Mathematik 4 Mathematische Nachrichten 4 Experimental Mathematics 4 Oberwolfach Reports 4 Advances in Mathematics of Communications 3 Communications in Algebra 3 Designs, Codes and Cryptography 3 L’Enseignement Mathématique. 2e Série 3 Finite Fields and their Applications 3 Albanian Journal of Mathematics 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Mathematics of Computation 2 Beiträge zur Algebra und Geometrie 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Bulletin of the London Mathematical Society 2 European Journal of Combinatorics 2 Journal of Group Theory 2 Aachener Beiträge zur Mathematik 1 Discrete Mathematics 1 IEEE Transactions on Information Theory 1 Israel Journal of Mathematics 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 Acta Arithmetica 1 Compositio Mathematica 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of the London Mathematical Society. Second Series 1 Journal of Pure and Applied Algebra 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Journal of the Ramanujan Mathematical Society 1 Geometric and Functional Analysis. GAFA 1 Journal of Algebraic Combinatorics 1 St. Petersburg Mathematical Journal 1 Kyushu Journal of Mathematics 1 Resenhas do Instituto do Matemática e Estatística da Universidade de São Paulo 1 Representation Theory 1 Algebras and Representation Theory 1 Algebra and Discrete Mathematics 1 Algorithms and Computation in Mathematics 1 Mathematics in Computer Science 1 International Journal of Combinatorics 1 Mathematics all top 5 Fields 86 Number theory (11-XX) 47 Group theory and generalizations (20-XX) 31 Information and communication theory, circuits (94-XX) 17 Associative rings and algebras (16-XX) 13 Combinatorics (05-XX) 6 General and overarching topics; collections (00-XX) 5 Algebraic geometry (14-XX) 4 Convex and discrete geometry (52-XX) 3 Geometry (51-XX) 2 Commutative algebra (13-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Topological groups, Lie groups (22-XX) 2 Statistics (62-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 \(K\)-theory (19-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 96 Publications have been cited 608 times in 436 Documents Cited by ▼ Year ▼ Self-dual codes and invariant theory. Zbl 1173.94447Nebe, Gabriele; Rains, Eric M.; Sloane, Neil J. A. 59 2006 The invariants of the Clifford groups. Zbl 1002.11057Nebe, Gabriele; Rains, E. M.; Sloane, N. J. A. 28 2001 Finite rational matrix groups. Zbl 0837.20056Nebe, G.; Plesken, W. 28 1995 Automorphism groups of Gabidulin-like codes. Zbl 1348.94086Liebhold, Dirk; Nebe, Gabriele 24 2016 Designs in Grassmannian spaces and lattices. Zbl 1035.05027Bachoc, Christine; Coulangeon, Renaud; Nebe, Gabriele 21 2002 Finite quaternionic matrix groups. Zbl 0901.20035Nebe, Gabriele 21 1998 On the Euclidean minimum of some real number fields. Zbl 1161.11032Bayer-Fluckiger, Eva; Nebe, Gabriele 21 2005 Lower bounds for measurable chromatic numbers. Zbl 1214.05022Bachoc, Christine; Nebe, Gabriele; de Oliveira Filho, Fernando Mário; Vallentin, Frank 18 2009 Some cyclo-quaternionic lattices. Zbl 0897.11022Nebe, Gabriele 16 1998 Lattice chain models for affine buildings of classical type. Zbl 1113.20028Abramenko, Peter; Nebe, Gabriele 15 2002 An even unimodular 72-dimensional lattice of minimum 8. Zbl 1270.11066Nebe, Gabriele 14 2012 The strongly perfect lattices of dimension 10. Zbl 0997.11049Nebe, Gabriele; Venkov, Boris 12 2000 Finite subgroups of \(\text{GL}_ n(\mathbb{Q})\) for \(25\leq n\leq 31\). Zbl 0856.20031Nebe, Gabriele 12 1996 On Siegel modular forms of weight 12. Zbl 0997.11039Nebe, Gabriele; Venkov, Boris 11 2001 On tight spherical designs. Zbl 1271.05021Nebe, G.; Venkov, B. 11 2013 Computing in arithmetic groups with Voronoï’s algorithm. Zbl 1323.16014Braun, Oliver; Coulangeon, Renaud; Nebe, Gabriele; Schönnenbeck, Sebastian 10 2015 Classification of two genera of 32-dimensional lattices of rank 8 over the Hurwitz order. Zbl 0886.11021Bachoc, Christine; Nebe, Gabriele 10 1997 Codes and invariant theory. Zbl 1077.94024Nebe, G.; Rains, E. M.; Sloane, N. J. A. 9 2004 Complete weight enumerators of generalized doubly-even self-dual codes. Zbl 1107.94013Nebe, Gabriele; Quebbemann, H.-G.; Rains, E. M.; Sloane, N. J. A. 9 2004 Network coding with flags. Zbl 1412.94254Liebhold, Dirk; Nebe, Gabriele; Vazquez-Castro, Angeles 9 2018 On the equivalence of quadratic APN functions. Zbl 1250.11101Bracken, Carl; Byrne, Eimear; McGuire, Gary; Nebe, Gabriele 8 2011 The root lattices of the complex reflection groups. Zbl 0930.20048Nebe, Gabriele 8 1999 Automorphisms of doubly even self-dual binary codes. Zbl 1184.94267Günther, Annika; Nebe, Gabriele 8 2009 Recognition of division algebras. Zbl 1184.16054Nebe, Gabriele; Steel, Allan 8 2009 On self-dual MRD codes. Zbl 1348.94100Nebe, Gabriele; Willems, Wolfgang 7 2016 \(p\)-adic analogues of Ramanujan type formulas for \(1/\pi\). Zbl 1296.11058Chisholm, Sarah; Deines, Alyson; Long, Ling; Nebe, Gabriele; Swisher, Holly 7 2013 On automorphisms of extremal even unimodular lattices. Zbl 1282.11075Nebe, Gabriele 7 2013 Orthogonal representations of finite groups and group rings. (Orthogonale Darstellungen endlicher Gruppen und Gruppenringe.) Zbl 1052.20005Nebe, Gabriele 7 1999 Unimodular lattices with long shadow. Zbl 1081.11049Nebe, Gabriele; Venkov, Boris 7 2003 Globally maximal arithmetic groups. Zbl 1113.20040Gross, Benedict H.; Nebe, Gabriele 7 2004 Kneser-Hecke-operators in coding theory. Zbl 1122.94053Nebe, G. 7 2006 Maximal integral forms of the algebraic group \(G_2\) defined by finite subgroups. Zbl 0920.11021Cohen, Arjeh M.; Nebe, Gabriele; Plesken, Wilhelm 7 1998 Finite rational matrix groups of degree \(24\). (Endliche rationale Matrixgruppen vom Grad \(24\).) Zbl 0837.20057Nebe, Gabriele 7 1995 Low-dimensional strongly perfect lattices. I: The 12-dimensional case. Zbl 1124.11031Nebe, Gabriele; Venkov, Boris 7 2005 Finite subgroups of \(\text{GL}_{24}(\mathbb{Q})\). Zbl 0870.20029Nebe, Gabriele 6 1996 Mini-workshop: Arithmetic of group rings. Abstracts from the mini-workshop held November 25 – December 1, 2007. (Mini-workshop: Arithmetik von Gruppenringen.) Zbl 1177.16002 6 2007 On the classification of lattices over \(\mathbb Q(\sqrt{-3})\), which are even unimodular \(\mathbb Z\)-lattices. Zbl 1229.11062Hentschel, Michael; Krieg, Aloys; Nebe, Gabriele 6 2010 A fourth extremal even unimodular lattice of dimension 48. Zbl 1319.11042Nebe, Gabriele 5 2014 The automorphism group of an extremal \([72, 36, 16]\) code does not contain \(Z_7\), \(Z_3\times Z_3\), or \(D_{10}\). Zbl 1364.94676Feulner, Thomas; Nebe, Gabriele 5 2012 Odd unimodular lattices of minimum 4. Zbl 0998.11034Bachoc, Christine; Nebe, Gabriele; Venkov, Boris 5 2002 Hermitian modular forms congruent to 1 modulo \(p\). Zbl 1213.11107Hentschel, Michael; Nebe, Gabriele 5 2009 Orthogonal Frobenius reciprocity. Zbl 0954.20005Nebe, Gabriele 5 2000 The normaliser action and strongly modular lattices. Zbl 0898.11026Nebe, Gabriele 5 1997 Boris Venkov’s theory of lattices and spherical designs. Zbl 1298.11002Nebe, Gabriele 4 2013 Elementary divisors of Gram matrices of certain Specht modules. Zbl 1062.20012Künzer, M.; Nebe, G. 4 2003 A simple construction for the Barnes-Wall lattices. Zbl 1039.94532Nebe, G.; Rains, E. M.; Sloane, N. J. A. 4 2002 On the classification of even unimodular lattices with a complex structure. Zbl 1246.11094Hentschel, Michael; Krieg, Aloys; Nebe, Gabriele 4 2012 Extremal lattices of minimum 8 related to the Mathieu group \(M_{22}\). Zbl 0885.11043Bachoc, Christine; Nebe, Gabriele 4 1998 An extremal \([72,36,16]\) binary code has no automorphism group containing \(Z_2 \times Z_4\), \(Q_8\), or \(Z_{10}\). Zbl 1258.94045Nebe, Gabriele 4 2012 Automorphisms of extremal unimodular lattices in dimension 72. Zbl 1387.11037Nebe, Gabriele 4 2016 Invariants of orthogonal \(G\)-modules from the character table. Zbl 0978.20004Nebe, Gabriele 3 2000 Über gerade unimodulare Gitter der Dimension 32. III. Mit einem Anhang von Gabriele Nebe: Die Funktion \(g^ A\) für einige Gitter mit Nachbardefekt 8. (On even unimodular lattices of dimension 32. III. With an appendix by Gabriele Nebe: The function \(g^ A\) for some lattices with neighbour defect 8). Zbl 0736.11022Koch, Helmut; Venkov, Boris B. 3 1991 Maximal finite subgroups and minimal classes. Zbl 1325.16014Coulangeon, Renaud; Nebe, Gabriele 3 2014 The automorphism group of a self-dual \([72, 36, 16]\) code does not contain \(\mathcal S_3\), \(\mathcal A_4\) or \(D_8\). Zbl 1283.94108Borello, Martino; Volta, Francesca Dalla; Nebe, Gabriele 3 2013 On the radical idealizer chain of symmetric orders. Zbl 1068.16018Nebe, Gabriele 3 2005 Lattices and modular forms. (Gitter und Modulformen.) Zbl 1160.11334Nebe, Gabriele 3 2002 On extremal quasi-modular forms after Kaneko and Koike. Zbl 1470.11075Pellarin, Federico; Nebe, Gabriele 3 2020 Low dimensional strongly perfect lattices. II: Dual strongly perfect lattices of dimension 13 and 15. Zbl 1271.11069Nebe, Gabriele; Nossek, Elisabeth; Venkov, Boris 3 2013 Nonexistence of extremal lattices in certain genera of modular lattices. Zbl 0863.11041Nebe, Gabriele; Venkov, Boris B. 3 1996 On theta series attached to maximal lattices and their adjoints. Zbl 1225.11048Böcherer, Siegfried; Nebe, Gabriele 3 2010 Low-dimensional strongly perfect lattices. III: Dual strongly perfect lattices of dimension 14. Zbl 1219.11103Nebe, Gabriele; Venkov, Boris 2 2010 Cayley orders. Zbl 0856.20030Cohen, Arjeh M.; Nebe, Gabriele; Plesken, Wilhelm 2 1996 On involutions in extremal self-dual codes and the dual distance of semi self-dual codes. Zbl 1368.94156Borello, Martino; Nebe, Gabriele 2 2015 On extremal self-dual ternary codes of length 48. Zbl 1251.94046Nebe, Gabriele 2 2012 Strongly modular lattices with long shadow. Zbl 1078.11047Nebe, Gabriele 2 2004 The principal block of \(\mathbb{Z}_pS_{2p}\). Zbl 1065.20016Nebe, Gabriele 2 2002 Zonal functions for the unitary groups and applications to Hermitian lattices. Zbl 1046.11050Bachoc, Christine; Nebe, Gabriele 2 2002 \(s\)-extremal strongly modular lattices. Zbl 1196.11097Nebe, Gabriele; Schindelar, Kristina 2 2007 One class genera of lattice chains over number fields. Zbl 1425.11065Kirschmer, Markus; Nebe, Gabriele 2 2017 Slopes of Euclidean lattices, tensor product and group actions. Zbl 1451.11064Coulangeon, Renaud; Nebe, Gabriele 1 2020 An analogue of the Pless symmetry code. Zbl 1433.94130Nebe, Gabriele; Villar, Darwin 1 2013 Automorphisms of modular lattices. Zbl 1469.11227Nebe, Gabriele 1 2021 The group ring of \(\text{SL}_2(2^f)\) over 2-adic integers. Zbl 1043.20009Nebe, Gabriele 1 2000 Extremal even unimodular lattices of rank 32 and related codes. Zbl 0793.11012Koch, Helmut; Nebe, Gabriele 1 1993 A nilpotent non abelian group code. Zbl 1354.94069Nebe, Gabriele; Schäfer, Artur 1 2014 The group ring of \(\text{SL}_2(p^f)\) over \(p\)-adic integers for \(p\) odd. Zbl 1043.20008Nebe, Gabriele 1 2000 Dense lattices as Hermitian tensor products. Zbl 1298.11063Coulangeon, Renaud; Nebe, Gabriele 1 2013 The orthogonal character table of \(\mathrm{SL}_{2}(q)\). Zbl 1467.20003Braun, Oliver; Nebe, Gabriele 1 2017 On extremal even unimodular 72-dimensional lattices. Zbl 1283.11099Nebe, Gabriele; Parker, Richard 1 2014 Hecke actions on certain strongly modular genera of lattices. Zbl 1192.11026Nebe, Gabriele; Teider, Maria 1 2005 On blocks with cyclic defect groups and their head orders. Zbl 1072.20011Nebe, Gabriele 1 2005 On the cokernel of the Witt decomposition map. Zbl 0993.11020Nebe, Gabriele 1 2000 Even lattices with covering radius \(< \sqrt{2}\). Zbl 1142.11340Nebe, Gabriele 1 2003 On group ring automorphisms. Zbl 1054.20002Hertweck, Martin; Nebe, Gabriele 1 2004 Finite Weil representations and associated Hecke algebras. Zbl 1247.11061Nebe, Gabriele 1 2009 On lattices whose minimal vectors form a 6-design. Zbl 1172.05010Nebe, Gabriele; Venkov, Boris 1 2009 Clifford-Weil groups of quotient representations. Zbl 1210.94111Günther, Annika; Nebe, Gabriele; Rains, Eric M. 1 2008 Clifford-Weil groups for finite group rings, some examples. Zbl 1210.94110Günther, Annika; Nebe, Gabriele 1 2008 Bolytrope orders. Zbl 07682940El Maazouz, Yassine; Nebe, Gabriele; Stanojkovski, Mima 1 2023 Quaternary quadratic lattices over number fields. Zbl 1439.11107Kirschmer, Markus; Nebe, Gabriele 1 2019 Orthogonal determinants of characters. Zbl 1514.20030Nebe, Gabriele 1 2022 Construction and investigation of lattices with matrix groups. Zbl 0970.11025Nebe, Gabriele 1 1999 The group ring of \(\text{SL}_2(p^2)\) over the \(p\)-adic integers. Zbl 0923.20003Nebe, Gabriele 1 1998 Self-dual codes over chain rings. Zbl 1456.94132Eisenbarth, Simon; Nebe, Gabriele 1 2020 Strongly perfect lattices sandwiched between Barnes-Wall lattices. Zbl 1467.11061Hu, Sihuang; Nebe, Gabriele 1 2020 A Gilbert-Varshamov type bound for Euclidean packings. Zbl 1211.11083Nebe, Gabriele; Xing, Chaoping 1 2008 Bolytrope orders. Zbl 07682940El Maazouz, Yassine; Nebe, Gabriele; Stanojkovski, Mima 1 2023 Orthogonal determinants of characters. Zbl 1514.20030Nebe, Gabriele 1 2022 Automorphisms of modular lattices. Zbl 1469.11227Nebe, Gabriele 1 2021 On extremal quasi-modular forms after Kaneko and Koike. Zbl 1470.11075Pellarin, Federico; Nebe, Gabriele 3 2020 Slopes of Euclidean lattices, tensor product and group actions. Zbl 1451.11064Coulangeon, Renaud; Nebe, Gabriele 1 2020 Self-dual codes over chain rings. Zbl 1456.94132Eisenbarth, Simon; Nebe, Gabriele 1 2020 Strongly perfect lattices sandwiched between Barnes-Wall lattices. Zbl 1467.11061Hu, Sihuang; Nebe, Gabriele 1 2020 Quaternary quadratic lattices over number fields. Zbl 1439.11107Kirschmer, Markus; Nebe, Gabriele 1 2019 Network coding with flags. Zbl 1412.94254Liebhold, Dirk; Nebe, Gabriele; Vazquez-Castro, Angeles 9 2018 One class genera of lattice chains over number fields. Zbl 1425.11065Kirschmer, Markus; Nebe, Gabriele 2 2017 The orthogonal character table of \(\mathrm{SL}_{2}(q)\). Zbl 1467.20003Braun, Oliver; Nebe, Gabriele 1 2017 Automorphism groups of Gabidulin-like codes. Zbl 1348.94086Liebhold, Dirk; Nebe, Gabriele 24 2016 On self-dual MRD codes. Zbl 1348.94100Nebe, Gabriele; Willems, Wolfgang 7 2016 Automorphisms of extremal unimodular lattices in dimension 72. Zbl 1387.11037Nebe, Gabriele 4 2016 Computing in arithmetic groups with Voronoï’s algorithm. Zbl 1323.16014Braun, Oliver; Coulangeon, Renaud; Nebe, Gabriele; Schönnenbeck, Sebastian 10 2015 On involutions in extremal self-dual codes and the dual distance of semi self-dual codes. Zbl 1368.94156Borello, Martino; Nebe, Gabriele 2 2015 A fourth extremal even unimodular lattice of dimension 48. Zbl 1319.11042Nebe, Gabriele 5 2014 Maximal finite subgroups and minimal classes. Zbl 1325.16014Coulangeon, Renaud; Nebe, Gabriele 3 2014 A nilpotent non abelian group code. Zbl 1354.94069Nebe, Gabriele; Schäfer, Artur 1 2014 On extremal even unimodular 72-dimensional lattices. Zbl 1283.11099Nebe, Gabriele; Parker, Richard 1 2014 On tight spherical designs. Zbl 1271.05021Nebe, G.; Venkov, B. 11 2013 \(p\)-adic analogues of Ramanujan type formulas for \(1/\pi\). Zbl 1296.11058Chisholm, Sarah; Deines, Alyson; Long, Ling; Nebe, Gabriele; Swisher, Holly 7 2013 On automorphisms of extremal even unimodular lattices. Zbl 1282.11075Nebe, Gabriele 7 2013 Boris Venkov’s theory of lattices and spherical designs. Zbl 1298.11002Nebe, Gabriele 4 2013 The automorphism group of a self-dual \([72, 36, 16]\) code does not contain \(\mathcal S_3\), \(\mathcal A_4\) or \(D_8\). Zbl 1283.94108Borello, Martino; Volta, Francesca Dalla; Nebe, Gabriele 3 2013 Low dimensional strongly perfect lattices. II: Dual strongly perfect lattices of dimension 13 and 15. Zbl 1271.11069Nebe, Gabriele; Nossek, Elisabeth; Venkov, Boris 3 2013 An analogue of the Pless symmetry code. Zbl 1433.94130Nebe, Gabriele; Villar, Darwin 1 2013 Dense lattices as Hermitian tensor products. Zbl 1298.11063Coulangeon, Renaud; Nebe, Gabriele 1 2013 An even unimodular 72-dimensional lattice of minimum 8. Zbl 1270.11066Nebe, Gabriele 14 2012 The automorphism group of an extremal \([72, 36, 16]\) code does not contain \(Z_7\), \(Z_3\times Z_3\), or \(D_{10}\). Zbl 1364.94676Feulner, Thomas; Nebe, Gabriele 5 2012 On the classification of even unimodular lattices with a complex structure. Zbl 1246.11094Hentschel, Michael; Krieg, Aloys; Nebe, Gabriele 4 2012 An extremal \([72,36,16]\) binary code has no automorphism group containing \(Z_2 \times Z_4\), \(Q_8\), or \(Z_{10}\). Zbl 1258.94045Nebe, Gabriele 4 2012 On extremal self-dual ternary codes of length 48. Zbl 1251.94046Nebe, Gabriele 2 2012 On the equivalence of quadratic APN functions. Zbl 1250.11101Bracken, Carl; Byrne, Eimear; McGuire, Gary; Nebe, Gabriele 8 2011 On the classification of lattices over \(\mathbb Q(\sqrt{-3})\), which are even unimodular \(\mathbb Z\)-lattices. Zbl 1229.11062Hentschel, Michael; Krieg, Aloys; Nebe, Gabriele 6 2010 On theta series attached to maximal lattices and their adjoints. Zbl 1225.11048Böcherer, Siegfried; Nebe, Gabriele 3 2010 Low-dimensional strongly perfect lattices. III: Dual strongly perfect lattices of dimension 14. Zbl 1219.11103Nebe, Gabriele; Venkov, Boris 2 2010 Lower bounds for measurable chromatic numbers. Zbl 1214.05022Bachoc, Christine; Nebe, Gabriele; de Oliveira Filho, Fernando Mário; Vallentin, Frank 18 2009 Automorphisms of doubly even self-dual binary codes. Zbl 1184.94267Günther, Annika; Nebe, Gabriele 8 2009 Recognition of division algebras. Zbl 1184.16054Nebe, Gabriele; Steel, Allan 8 2009 Hermitian modular forms congruent to 1 modulo \(p\). Zbl 1213.11107Hentschel, Michael; Nebe, Gabriele 5 2009 Finite Weil representations and associated Hecke algebras. Zbl 1247.11061Nebe, Gabriele 1 2009 On lattices whose minimal vectors form a 6-design. Zbl 1172.05010Nebe, Gabriele; Venkov, Boris 1 2009 Clifford-Weil groups of quotient representations. Zbl 1210.94111Günther, Annika; Nebe, Gabriele; Rains, Eric M. 1 2008 Clifford-Weil groups for finite group rings, some examples. Zbl 1210.94110Günther, Annika; Nebe, Gabriele 1 2008 A Gilbert-Varshamov type bound for Euclidean packings. Zbl 1211.11083Nebe, Gabriele; Xing, Chaoping 1 2008 Mini-workshop: Arithmetic of group rings. Abstracts from the mini-workshop held November 25 – December 1, 2007. (Mini-workshop: Arithmetik von Gruppenringen.) Zbl 1177.16002 6 2007 \(s\)-extremal strongly modular lattices. Zbl 1196.11097Nebe, Gabriele; Schindelar, Kristina 2 2007 Self-dual codes and invariant theory. Zbl 1173.94447Nebe, Gabriele; Rains, Eric M.; Sloane, Neil J. A. 59 2006 Kneser-Hecke-operators in coding theory. Zbl 1122.94053Nebe, G. 7 2006 On the Euclidean minimum of some real number fields. Zbl 1161.11032Bayer-Fluckiger, Eva; Nebe, Gabriele 21 2005 Low-dimensional strongly perfect lattices. I: The 12-dimensional case. Zbl 1124.11031Nebe, Gabriele; Venkov, Boris 7 2005 On the radical idealizer chain of symmetric orders. Zbl 1068.16018Nebe, Gabriele 3 2005 Hecke actions on certain strongly modular genera of lattices. Zbl 1192.11026Nebe, Gabriele; Teider, Maria 1 2005 On blocks with cyclic defect groups and their head orders. Zbl 1072.20011Nebe, Gabriele 1 2005 Codes and invariant theory. Zbl 1077.94024Nebe, G.; Rains, E. M.; Sloane, N. J. A. 9 2004 Complete weight enumerators of generalized doubly-even self-dual codes. Zbl 1107.94013Nebe, Gabriele; Quebbemann, H.-G.; Rains, E. M.; Sloane, N. J. A. 9 2004 Globally maximal arithmetic groups. Zbl 1113.20040Gross, Benedict H.; Nebe, Gabriele 7 2004 Strongly modular lattices with long shadow. Zbl 1078.11047Nebe, Gabriele 2 2004 On group ring automorphisms. Zbl 1054.20002Hertweck, Martin; Nebe, Gabriele 1 2004 Unimodular lattices with long shadow. Zbl 1081.11049Nebe, Gabriele; Venkov, Boris 7 2003 Elementary divisors of Gram matrices of certain Specht modules. Zbl 1062.20012Künzer, M.; Nebe, G. 4 2003 Even lattices with covering radius \(< \sqrt{2}\). Zbl 1142.11340Nebe, Gabriele 1 2003 Designs in Grassmannian spaces and lattices. Zbl 1035.05027Bachoc, Christine; Coulangeon, Renaud; Nebe, Gabriele 21 2002 Lattice chain models for affine buildings of classical type. Zbl 1113.20028Abramenko, Peter; Nebe, Gabriele 15 2002 Odd unimodular lattices of minimum 4. Zbl 0998.11034Bachoc, Christine; Nebe, Gabriele; Venkov, Boris 5 2002 A simple construction for the Barnes-Wall lattices. Zbl 1039.94532Nebe, G.; Rains, E. M.; Sloane, N. J. A. 4 2002 Lattices and modular forms. (Gitter und Modulformen.) Zbl 1160.11334Nebe, Gabriele 3 2002 The principal block of \(\mathbb{Z}_pS_{2p}\). Zbl 1065.20016Nebe, Gabriele 2 2002 Zonal functions for the unitary groups and applications to Hermitian lattices. Zbl 1046.11050Bachoc, Christine; Nebe, Gabriele 2 2002 The invariants of the Clifford groups. Zbl 1002.11057Nebe, Gabriele; Rains, E. M.; Sloane, N. J. A. 28 2001 On Siegel modular forms of weight 12. Zbl 0997.11039Nebe, Gabriele; Venkov, Boris 11 2001 The strongly perfect lattices of dimension 10. Zbl 0997.11049Nebe, Gabriele; Venkov, Boris 12 2000 Orthogonal Frobenius reciprocity. Zbl 0954.20005Nebe, Gabriele 5 2000 Invariants of orthogonal \(G\)-modules from the character table. Zbl 0978.20004Nebe, Gabriele 3 2000 The group ring of \(\text{SL}_2(2^f)\) over 2-adic integers. Zbl 1043.20009Nebe, Gabriele 1 2000 The group ring of \(\text{SL}_2(p^f)\) over \(p\)-adic integers for \(p\) odd. Zbl 1043.20008Nebe, Gabriele 1 2000 On the cokernel of the Witt decomposition map. Zbl 0993.11020Nebe, Gabriele 1 2000 The root lattices of the complex reflection groups. Zbl 0930.20048Nebe, Gabriele 8 1999 Orthogonal representations of finite groups and group rings. (Orthogonale Darstellungen endlicher Gruppen und Gruppenringe.) Zbl 1052.20005Nebe, Gabriele 7 1999 Construction and investigation of lattices with matrix groups. Zbl 0970.11025Nebe, Gabriele 1 1999 Finite quaternionic matrix groups. Zbl 0901.20035Nebe, Gabriele 21 1998 Some cyclo-quaternionic lattices. Zbl 0897.11022Nebe, Gabriele 16 1998 Maximal integral forms of the algebraic group \(G_2\) defined by finite subgroups. Zbl 0920.11021Cohen, Arjeh M.; Nebe, Gabriele; Plesken, Wilhelm 7 1998 Extremal lattices of minimum 8 related to the Mathieu group \(M_{22}\). Zbl 0885.11043Bachoc, Christine; Nebe, Gabriele 4 1998 The group ring of \(\text{SL}_2(p^2)\) over the \(p\)-adic integers. Zbl 0923.20003Nebe, Gabriele 1 1998 Classification of two genera of 32-dimensional lattices of rank 8 over the Hurwitz order. Zbl 0886.11021Bachoc, Christine; Nebe, Gabriele 10 1997 The normaliser action and strongly modular lattices. Zbl 0898.11026Nebe, Gabriele 5 1997 Finite subgroups of \(\text{GL}_ n(\mathbb{Q})\) for \(25\leq n\leq 31\). Zbl 0856.20031Nebe, Gabriele 12 1996 Finite subgroups of \(\text{GL}_{24}(\mathbb{Q})\). Zbl 0870.20029Nebe, Gabriele 6 1996 Nonexistence of extremal lattices in certain genera of modular lattices. Zbl 0863.11041Nebe, Gabriele; Venkov, Boris B. 3 1996 Cayley orders. Zbl 0856.20030Cohen, Arjeh M.; Nebe, Gabriele; Plesken, Wilhelm 2 1996 Finite rational matrix groups. Zbl 0837.20056Nebe, G.; Plesken, W. 28 1995 Finite rational matrix groups of degree \(24\). (Endliche rationale Matrixgruppen vom Grad \(24\).) Zbl 0837.20057Nebe, Gabriele 7 1995 Extremal even unimodular lattices of rank 32 and related codes. Zbl 0793.11012Koch, Helmut; Nebe, Gabriele 1 1993 Über gerade unimodulare Gitter der Dimension 32. III. Mit einem Anhang von Gabriele Nebe: Die Funktion \(g^ A\) für einige Gitter mit Nachbardefekt 8. (On even unimodular lattices of dimension 32. III. With an appendix by Gabriele Nebe: The function \(g^ A\) for some lattices with neighbour defect 8). Zbl 0736.11022Koch, Helmut; Venkov, Boris B. 3 1991 all cited Publications top 5 cited Publications all top 5 Cited by 521 Authors 44 Nebe, Gabriele 13 Vallentin, Frank 11 Bachoc, Christine 11 Zullo, Ferdinando 9 Bannai, Eiichi 9 Dougherty, Steven T. 8 Kirschmer, Markus 8 Oura, Manabu 7 Bayer-Fluckiger, Eva 7 de Oliveira Filho, Fernando Mário 6 Ehler, Martin 6 Ferrari, Agnaldo José 6 Harada, Masaaki 6 Jitman, Somphong 6 Jorge, Grasiele Cristiane 6 Kim, Jon-Lark 6 Navarro-Pérez, Miguel Ángel 6 Venkov, Boris B. 5 Alonso-González, Clementa 5 Borello, Martino 5 Costa, Sueli Irene Rodrigues 5 Coulangeon, Renaud 5 Gräf, Manuel 5 Krieg, Aloys 5 Miezaki, Tsuyoshi 5 Schönnenbeck, Sebastian 5 Soler-Escrivà, Xaro 5 Zanella, Corrado 4 Bannai, Etsuko 4 Csajbók, Bence 4 de Andrade, Antonio Aparecido 4 de la Cruz, Javier 4 Dymarsky, Anatoly 4 Eisele, Florian 4 Fukshansky, Lenny 4 Lee, Yoonjin 4 Long, Ling 4 Marino, Giuseppe 4 Rains, Eric M. 4 Schürmann, Achill 4 Swisher, Holly 4 Tonchev, Vladimir D. 4 Zhou, Yue 4 Zhu, Yan 3 Abdukhalikov, Kanat S. 3 Achar, Pramod N. 3 Aubert, Anne-Marie 3 Braun, Oliver 3 Chenevier, Gaëtan 3 Crnković, Dean 3 de Laat, David 3 DeCorte, Evan 3 Dutour-Sikiric, Mathieu 3 Fan, Yun 3 Gaborit, Philippe 3 Hentschel, Michael 3 Hu, Sihuang 3 Kurz, Sascha 3 Margolis, Leo 3 Munemasa, Akihiro 3 Nagaoka, Shoyu 3 Panicaud, Benoit 3 Park, Youngho 3 Plesken, Wilhelm 3 Polverino, Olga 3 Rahm, Alexander Daniel 3 Rehman, Abdur 3 Sheekey, John 3 Shi, Minjia 3 Sloane, Neil James Alexander 3 Tiep Pham Huu 3 Yu, Wei-Hsuan 3 Zhao, Da 2 Aghamollaei, Gholamreza 2 Ali, Ilyas 2 Arenas-Carmona, Luis 2 Bardestani, Mohammad 2 Basak, Tathagata 2 Benson, David John 2 Betsumiya, Koichi 2 Böcherer, Siegfried 2 Boĭvalenkov, Pet”r Georgiev 2 Breger, Anna 2 Bui, Anh Tuan 2 Chakraborty, Himadri Shekhar 2 Chiera, Francesco Ludovico 2 Choi, Whan-Hyuk 2 De Araujo, Robson Ricardo 2 Dempwolff, Ulrich 2 Detinko, Alla S. 2 Dummigan, Neil 2 Eisenbarth, Simon 2 Etayo, Ujué 2 Flannery, Dane Laurence 2 Fuselier, Jenny G. 2 Garibaldi, Skip 2 Gemünden, Thomas 2 Grabner, Peter J. 2 Griess, Robert L. jun. 2 Guralnick, Robert Michael ...and 421 more Authors all top 5 Cited in 118 Serials 39 Journal of Algebra 27 Journal of Number Theory 27 Designs, Codes and Cryptography 26 Finite Fields and their Applications 16 Journal de Théorie des Nombres de Bordeaux 15 International Journal of Number Theory 13 Discrete Mathematics 12 Journal of Algebraic Combinatorics 9 Mathematics of Computation 9 Linear Algebra and its Applications 9 Advances in Mathematics of Communications 8 Advances in Mathematics 8 Experimental Mathematics 7 Archiv der Mathematik 7 Journal of Algebra, Combinatorics, Discrete Structures and Applications 6 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 6 Journal of Pure and Applied Algebra 6 European Journal of Combinatorics 6 Journal of High Energy Physics 5 Duke Mathematical Journal 5 Journal of Combinatorial Theory. Series A 5 Discrete & Computational Geometry 4 Communications in Algebra 4 Journal of the London Mathematical Society. Second Series 4 Transactions of the American Mathematical Society 4 Mathematical Programming. Series A. Series B 4 Applicable Algebra in Engineering, Communication and Computing 3 Communications in Mathematical Physics 3 Memoirs of the American Mathematical Society 3 Results in Mathematics 3 Journal of Complexity 3 St. Petersburg Mathematical Journal 3 Representation Theory 3 The Ramanujan Journal 3 Proceedings of the Steklov Institute of Mathematics 3 Korean Journal of Mathematics 2 Acta Mechanica 2 International Journal of Theoretical Physics 2 Israel Journal of Mathematics 2 Applied Mathematics and Computation 2 Journal of the Mathematical Society of Japan 2 Journal für die Reine und Angewandte Mathematik 2 Manuscripta Mathematica 2 Mathematische Annalen 2 Monatshefte für Mathematik 2 Proceedings of the American Mathematical Society 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Graphs and Combinatorics 2 SIAM Journal on Discrete Mathematics 2 Bulletin of the American Mathematical Society. New Series 2 Applied and Computational Harmonic Analysis 2 Mathematical Problems in Engineering 2 Journal of Group Theory 2 Journal of the European Mathematical Society (JEMS) 2 Journal of Applied Mathematics and Computing 2 Journal of Algebra and its Applications 2 Journal of Physics A: Mathematical and Theoretical 2 Discrete Mathematics, Algorithms and Applications 2 Science China. Mathematics 2 Forum of Mathematics, Sigma 1 Information Processing Letters 1 Journal d’Analyse Mathématique 1 Linear and Multilinear Algebra 1 Nuclear Physics. B 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 Chaos, Solitons and Fractals 1 Beiträge zur Algebra und Geometrie 1 Annales de l’Institut Fourier 1 Czechoslovak Mathematical Journal 1 Geometriae Dedicata 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Geometry 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Topology and its Applications 1 Bulletin of the Korean Mathematical Society 1 Journal of Symbolic Computation 1 Constructive Approximation 1 Journal of Theoretical Probability 1 Journal of the American Mathematical Society 1 Forum Mathematicum 1 International Journal of Algebra and Computation 1 Geometric and Functional Analysis. GAFA 1 L’Enseignement Mathématique. 2e Série 1 Expositiones Mathematicae 1 SIAM Journal on Optimization 1 Computational Complexity 1 Journal of Mathematical Sciences (New York) 1 Kyushu Journal of Mathematics 1 Filomat 1 The Electronic Journal of Combinatorics 1 The Journal of Fourier Analysis and Applications 1 Transformation Groups 1 Taiwanese Journal of Mathematics 1 Algebras and Representation Theory 1 Communications in Contemporary Mathematics 1 Algebraic & Geometric Topology 1 Foundations of Computational Mathematics ...and 18 more Serials all top 5 Cited in 43 Fields 224 Number theory (11-XX) 149 Information and communication theory, circuits (94-XX) 103 Group theory and generalizations (20-XX) 80 Combinatorics (05-XX) 33 Associative rings and algebras (16-XX) 32 Geometry (51-XX) 26 Convex and discrete geometry (52-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 20 Operations research, mathematical programming (90-XX) 19 Algebraic geometry (14-XX) 19 Quantum theory (81-XX) 12 Topological groups, Lie groups (22-XX) 11 Nonassociative rings and algebras (17-XX) 9 Special functions (33-XX) 8 Computer science (68-XX) 7 Numerical analysis (65-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Field theory and polynomials (12-XX) 5 Functional analysis (46-XX) 5 Differential geometry (53-XX) 4 Commutative algebra (13-XX) 4 Relativity and gravitational theory (83-XX) 3 Approximations and expansions (41-XX) 3 Integral transforms, operational calculus (44-XX) 3 Algebraic topology (55-XX) 3 Manifolds and cell complexes (57-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 General and overarching topics; collections (00-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Category theory; homological algebra (18-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Ordinary differential equations (34-XX) 2 Abstract harmonic analysis (43-XX) 2 Probability theory and stochastic processes (60-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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