Caprace, Pierre-Emmanuel; Willis, George A. A totally disconnected invitation to locally compact groups. (English) Zbl 07823033 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 3. Sections 1–4. Berlin: European Mathematical Society (EMS). 1554-1576 (2023). MSC: 22D05 20E15 20E32 20E08 22F50 43A07 PDFBibTeX XMLCite \textit{P.-E. Caprace} and \textit{G. A. Willis}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 3. Sections 1--4. Berlin: European Mathematical Society (EMS). 1554--1576 (2023; Zbl 07823033) Full Text: DOI arXiv OA License
Caprace, Pierre-Emmanuel; Kassabov, Martin Tame automorphism groups of polynomial rings with property (T) and infinitely many alternating group quotients. (English) Zbl 07752628 Trans. Am. Math. Soc. 376, No. 11, 7983-8021 (2023). Reviewer: Egle Bettio (Venezia) MSC: 22D55 20F67 05C48 20D06 14E07 PDFBibTeX XMLCite \textit{P.-E. Caprace} and \textit{M. Kassabov}, Trans. Am. Math. Soc. 376, No. 11, 7983--8021 (2023; Zbl 07752628) Full Text: DOI arXiv
Azevedo, João; Shumyatsky, Pavel Compact groups with probabilistically central monothetic subgroups. (English) Zbl 07720447 Isr. J. Math. 255, No. 2, 955-973 (2023). Reviewer: Xabier Domínguez (A Coruña) MSC: 22C05 20P05 PDFBibTeX XMLCite \textit{J. Azevedo} and \textit{P. Shumyatsky}, Isr. J. Math. 255, No. 2, 955--973 (2023; Zbl 07720447) Full Text: DOI arXiv
Azevedo, João; Shumyatsky, Pavel Compact groups with high commuting probability of monothetic subgroups. (English) Zbl 1516.22003 J. Algebra 623, 34-41 (2023). Reviewer: Mattia Brescia (Napoli) MSC: 22C05 20P05 PDFBibTeX XMLCite \textit{J. Azevedo} and \textit{P. Shumyatsky}, J. Algebra 623, 34--41 (2023; Zbl 1516.22003) Full Text: DOI arXiv
Haferkamp, J.; Montealegre-Mora, F.; Heinrich, M.; Eisert, J.; Gross, D.; Roth, I. Efficient unitary designs with a system-size independent number of non-Clifford gates. (English) Zbl 1519.81111 Commun. Math. Phys. 397, No. 3, 995-1041 (2023). MSC: 81P45 81P68 81P65 22E70 20G45 68Q12 15A67 81P94 PDFBibTeX XMLCite \textit{J. Haferkamp} et al., Commun. Math. Phys. 397, No. 3, 995--1041 (2023; Zbl 1519.81111) Full Text: DOI arXiv
Pham, Lam L. Uniform Kazhdan constants and paradoxes of the affine plane. (English) Zbl 1497.20041 Transform. Groups 27, No. 1, 239-269 (2022). Reviewer: Marco Trombetti (Napoli) MSC: 20F19 20E07 20F05 22D55 20G40 PDFBibTeX XMLCite \textit{L. L. Pham}, Transform. Groups 27, No. 1, 239--269 (2022; Zbl 1497.20041) Full Text: DOI arXiv
Fakhruddin, Najmuddin; Khare, Chandrashekhar; Patrikis, Stefan Lifting and automorphy of reducible mod \(p\) Galois representations over global fields. (English) Zbl 1492.11102 Invent. Math. 228, No. 1, 415-492 (2022). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11F80 11F70 11R39 11F33 22E50 PDFBibTeX XMLCite \textit{N. Fakhruddin} et al., Invent. Math. 228, No. 1, 415--492 (2022; Zbl 1492.11102) Full Text: DOI arXiv
Magee, Michael Random unitary representations of surface groups. I: Asymptotic expansions. (English) Zbl 07493709 Commun. Math. Phys. 391, No. 1, 119-171 (2022). MSC: 57M05 22E55 32Gxx 14H60 20C30 20C35 22D10 32G15 46L54 70S15 PDFBibTeX XMLCite \textit{M. Magee}, Commun. Math. Phys. 391, No. 1, 119--171 (2022; Zbl 07493709) Full Text: DOI arXiv
Abdollahi, Alireza; Malekan, Meisam Soleimani Commuting probability of compact groups. (English) Zbl 1493.22002 Bull. Aust. Math. Soc. 105, No. 1, 87-91 (2022). Reviewer: Francesco G. Russo (Rondebosch) MSC: 22C05 20E18 20P05 PDFBibTeX XMLCite \textit{A. Abdollahi} and \textit{M. S. Malekan}, Bull. Aust. Math. Soc. 105, No. 1, 87--91 (2022; Zbl 1493.22002) Full Text: DOI arXiv
Kazeem, Eniola A list of open problems for the subgroup commutativity degree of groups. (English) Zbl 07410243 Topol. Proc. 57, 225-239 (2021). MSC: 20P05 22A05 PDFBibTeX XMLCite \textit{E. Kazeem}, Topol. Proc. 57, 225--239 (2021; Zbl 07410243) Full Text: Link
Tsouvalas, Konstantinos On Borel Anosov representations in even dimensions. (English) Zbl 07310900 Comment. Math. Helv. 95, No. 4, 749-763 (2020). MSC: 20F65 22E40 20H10 PDFBibTeX XMLCite \textit{K. Tsouvalas}, Comment. Math. Helv. 95, No. 4, 749--763 (2020; Zbl 07310900) Full Text: DOI arXiv
Garibaldi, Skip; Guralnick, Robert Generically free representations. I: Large representations. (English) Zbl 1511.20184 Algebra Number Theory 14, No. 6, 1577-1611 (2020). MSC: 20G05 17B10 17B20 17B45 22E60 PDFBibTeX XMLCite \textit{S. Garibaldi} and \textit{R. Guralnick}, Algebra Number Theory 14, No. 6, 1577--1611 (2020; Zbl 1511.20184) Full Text: DOI arXiv
Garibaldi, Skip; Guralnick, Robert M. Generically free representations. III: Extremely bad characteristic. (English) Zbl 1484.20077 Transform. Groups 25, No. 3, 819-841 (2020). MSC: 20G05 20G15 22E60 PDFBibTeX XMLCite \textit{S. Garibaldi} and \textit{R. M. Guralnick}, Transform. Groups 25, No. 3, 819--841 (2020; Zbl 1484.20077) Full Text: DOI arXiv
Garibaldi, Skip; Guralnick, Robert M. Generically free representations. II: Irreducible representations. (English) Zbl 1484.20076 Transform. Groups 25, No. 3, 793-817 (2020). MSC: 20G05 20G15 22E60 PDFBibTeX XMLCite \textit{S. Garibaldi} and \textit{R. M. Guralnick}, Transform. Groups 25, No. 3, 793--817 (2020; Zbl 1484.20076) Full Text: DOI arXiv
Gurevich, Shamgar; Howe, Roger Rank and duality in representation theory. (English) Zbl 1469.11078 Jpn. J. Math. (3) 15, No. 2, 223-309 (2020). Reviewer: Chunhui Wang (Wuhan) MSC: 11F27 20C33 20C35 20G40 20G05 22E50 PDFBibTeX XMLCite \textit{S. Gurevich} and \textit{R. Howe}, Jpn. J. Math. (3) 15, No. 2, 223--309 (2020; Zbl 1469.11078) Full Text: DOI arXiv
Ye, Shengkui Symmetries of flat manifolds, Jordan property and the general Zimmer program. (English) Zbl 1439.22028 J. Lond. Math. Soc., II. Ser. 100, No. 3, 1065-1080 (2019). Reviewer: Stephan Rosebrock (Karlsruhe) MSC: 22F05 20F65 57S17 PDFBibTeX XMLCite \textit{S. Ye}, J. Lond. Math. Soc., II. Ser. 100, No. 3, 1065--1080 (2019; Zbl 1439.22028) Full Text: DOI arXiv
Lauret, Emilio A. Spectral uniqueness of bi-invariant metrics on symplectic groups. (English) Zbl 1434.58013 Transform. Groups 24, No. 4, 1157-1164 (2019). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 58J53 22E47 22E15 PDFBibTeX XMLCite \textit{E. A. Lauret}, Transform. Groups 24, No. 4, 1157--1164 (2019; Zbl 1434.58013) Full Text: DOI arXiv
Abels, Herbert; Noskov, Gennady A. The topological generating rank of solvable Lie groups. (English) Zbl 1486.22007 J. Lie Theory 29, No. 2, 457-471 (2019). Reviewer: Béchir Dali (Bizerte) MSC: 22E25 PDFBibTeX XMLCite \textit{H. Abels} and \textit{G. A. Noskov}, J. Lie Theory 29, No. 2, 457--471 (2019; Zbl 1486.22007) Full Text: Link
Parab, Abhishek Absolute convergence of the twisted trace formula. (English) Zbl 1446.11099 Math. Z. 292, No. 1-2, 529-567 (2019). MSC: 11F72 11F70 22E55 PDFBibTeX XMLCite \textit{A. Parab}, Math. Z. 292, No. 1--2, 529--567 (2019; Zbl 1446.11099) Full Text: DOI arXiv Backlinks: MO
Caprace, Pierre-Emmanuel Non-discrete simple locally compact groups. (English) Zbl 1403.22004 Mehrmann, Volker (ed.) et al., European congress of mathematics. Proceedings of the 7th ECM (7ECM) congress, Berlin, Germany, July 18–22, 2016. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-176-7/hbk; 978-3-03719-676-2/ebook). 333-354 (2018). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 22Dxx 22D05 PDFBibTeX XMLCite \textit{P.-E. Caprace}, in: European congress of mathematics. Proceedings of the 7th ECM (7ECM) congress, Berlin, Germany, July 18--22, 2016. Zürich: European Mathematical Society (EMS). 333--354 (2018; Zbl 1403.22004) Full Text: DOI
Fisher, David; Larsen, Michael; Spatzier, Ralf; Stover, Matthew Character varieties and actions on products of trees. (English) Zbl 1454.22007 Isr. J. Math. 225, No. 2, 889-907 (2018). MSC: 22E40 20F65 37C85 57M60 PDFBibTeX XMLCite \textit{D. Fisher} et al., Isr. J. Math. 225, No. 2, 889--907 (2018; Zbl 1454.22007) Full Text: DOI arXiv
Draper Fontanals, Cristina Notes on \(G_2\): the Lie algebra and the Lie group. (English) Zbl 1430.17038 Differ. Geom. Appl. 57, 23-74 (2018). MSC: 17B25 22E60 PDFBibTeX XMLCite \textit{C. Draper Fontanals}, Differ. Geom. Appl. 57, 23--74 (2018; Zbl 1430.17038) Full Text: DOI arXiv
Bradford, Henry Expansion, random walks and sieving in \(SL_2({\mathbb{F}_p}[t])\). (English) Zbl 1360.22012 Isr. J. Math. 215, No. 2, 559-582 (2016). Reviewer: Jacques Franchi (Strasbourg) MSC: 22E30 60B15 20H05 20P05 PDFBibTeX XMLCite \textit{H. Bradford}, Isr. J. Math. 215, No. 2, 559--582 (2016; Zbl 1360.22012) Full Text: DOI arXiv
Bezrukavnikov, Roman; Kazhdan, David; Varshavsky, Yakov On the depth \(r\) Bernstein projector. (English) Zbl 1370.22013 Sel. Math., New Ser. 22, No. 4, 2271-2311 (2016). Reviewer: Jeffrey Adler (Washington) MSC: 22E50 22E35 PDFBibTeX XMLCite \textit{R. Bezrukavnikov} et al., Sel. Math., New Ser. 22, No. 4, 2271--2311 (2016; Zbl 1370.22013) Full Text: DOI arXiv
Marrani, Alessio Freudenthal duality in gravity: from groups of type \(E_{7}\) to pre-homogeneous spaces. (English) Zbl 1339.83074 \(p\)-Adic Numbers Ultrametric Anal. Appl. 7, No. 4, 322-331 (2015). MSC: 83E50 81V22 83C57 83E30 53B35 83C22 22E10 94A17 PDFBibTeX XMLCite \textit{A. Marrani}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 7, No. 4, 322--331 (2015; Zbl 1339.83074) Full Text: DOI arXiv
Zhang, Lei [Jiang, Dihua] Distinguished tame supercuspidal representations of symmetric pairs \(\mathrm{Sp}_{4n}(F), \mathrm{Sp}_{2n}(E))\). With an appendix by Dihua Jiang and Lei Zhang. (English) Zbl 1327.22022 Manuscr. Math. 148, No. 1-2, 213-233 (2015). Reviewer: Laure Blasco (Paris) MSC: 22E50 11F70 22E35 PDFBibTeX XMLCite \textit{L. Zhang}, Manuscr. Math. 148, No. 1--2, 213--233 (2015; Zbl 1327.22022) Full Text: DOI
Capdeboscq, Inna On the generation of discrete and topological Kac-Moody groups. (Sur les générateurs des groupes de Kac-Moody topologiques et discrets.) (English. Abridged French version) Zbl 1323.20047 C. R., Math., Acad. Sci. Paris 353, No. 8, 695-699 (2015). MSC: 20G44 22E67 20F05 PDFBibTeX XMLCite \textit{I. Capdeboscq}, C. R., Math., Acad. Sci. Paris 353, No. 8, 695--699 (2015; Zbl 1323.20047) Full Text: DOI
Florentino, Carlos; Lawton, Sean Topology of character varieties of abelian groups. (English) Zbl 1300.14045 Topology Appl. 173, 32-58 (2014). Reviewer: Alan Koch (Decatur) MSC: 14L30 14P25 14L17 14L24 22E46 PDFBibTeX XMLCite \textit{C. Florentino} and \textit{S. Lawton}, Topology Appl. 173, 32--58 (2014; Zbl 1300.14045) Full Text: DOI arXiv
Breuillard, Emmanuel; Green, Ben; Guralnick, Robert; Tao, Terence Strongly dense free subgroups of semisimple algebraic groups. (English) Zbl 1266.20060 Isr. J. Math. 192, Part A, 347-379 (2012). Reviewer: Bala Sury (Bangalore) MSC: 20G15 20G25 22E40 20E07 PDFBibTeX XMLCite \textit{E. Breuillard} et al., Isr. J. Math. 192, Part A, 347--379 (2012; Zbl 1266.20060) Full Text: DOI arXiv
Nikolov, Nikolay; Segal, Dan Generators and commutators in finite groups; abstract quotients of compact groups. (English) Zbl 1268.20031 Invent. Math. 190, No. 3, 513-602 (2012). Reviewer: Pavel Zalesskij (Brasília) MSC: 20E18 22C05 20F05 20E07 20F12 20D05 20D60 PDFBibTeX XMLCite \textit{N. Nikolov} and \textit{D. Segal}, Invent. Math. 190, No. 3, 513--602 (2012; Zbl 1268.20031) Full Text: DOI arXiv
Schwarz, Gerald W. Linear maps preserving orbits. (English. French summary) Zbl 1255.14040 Ann. Inst. Fourier 62, No. 2, 667-706 (2012). Reviewer: L. N. Vaserstein (University Park) MSC: 14L30 20G20 22E46 PDFBibTeX XMLCite \textit{G. W. Schwarz}, Ann. Inst. Fourier 62, No. 2, 667--706 (2012; Zbl 1255.14040) Full Text: DOI arXiv
Guralnick, Robert; Larsen, Michael; Manack, Corey Low degree representations of simple Lie groups. (English) Zbl 1247.22006 Proc. Am. Math. Soc. 140, No. 5, 1823-1834 (2012). Reviewer: Mladen Božičević (Varaždin) MSC: 22C05 22E46 PDFBibTeX XMLCite \textit{R. Guralnick} et al., Proc. Am. Math. Soc. 140, No. 5, 1823--1834 (2012; Zbl 1247.22006) Full Text: DOI arXiv
Abels, Herbert; Vinberg, E. B. Generating semisimple groups by tori. (English) Zbl 1220.22005 J. Algebra 328, No. 1, 114-121 (2011). Reviewer: Jorge Vargas (Cordoba) MSC: 22E46 PDFBibTeX XMLCite \textit{H. Abels} and \textit{E. B. Vinberg}, J. Algebra 328, No. 1, 114--121 (2011; Zbl 1220.22005) Full Text: DOI
Nien, Chufeng Local uniqueness of generalized Shalika models for \(\mathrm{SO}_{4n}\). (English) Zbl 1186.22013 J. Algebra 323, No. 2, 437-457 (2010). Reviewer: Osman Bizim (Bursa) MSC: 22E35 PDFBibTeX XMLCite \textit{C. Nien}, J. Algebra 323, No. 2, 437--457 (2010; Zbl 1186.22013) Full Text: DOI
Caprace, Pierre-Emmanuel; Monod, Nicolas Isometry groups of non-positively curved spaces: discrete subgroups. (English) Zbl 1187.53037 J. Topol. 2, No. 4, 701-746 (2009). MSC: 53C20 20F65 53C24 22E40 57S99 PDFBibTeX XMLCite \textit{P.-E. Caprace} and \textit{N. Monod}, J. Topol. 2, No. 4, 701--746 (2009; Zbl 1187.53037) Full Text: DOI arXiv
Zalesski, A. E. On eigenvalues of group elements in representations of simple algebraic groups and finite Chevalley groups. (English) Zbl 1230.20048 Acta Appl. Math. 108, No. 1, 175-195 (2009). MSC: 20G05 17B10 20C33 22E46 PDFBibTeX XMLCite \textit{A. E. Zalesski}, Acta Appl. Math. 108, No. 1, 175--195 (2009; Zbl 1230.20048) Full Text: DOI
Rezaei, Rashid; Erfanian, Ahmad On the commutativity degree of compact groups. (English) Zbl 1186.22009 Arch. Math. 93, No. 4, 345-356 (2009). Reviewer: Andrea Lucchini (Padova) MSC: 22C05 20D60 20P05 20D08 PDFBibTeX XMLCite \textit{R. Rezaei} and \textit{A. Erfanian}, Arch. Math. 93, No. 4, 345--356 (2009; Zbl 1186.22009) Full Text: DOI
Offen, Omer; Sayag, Eitan Uniqueness and disjointness of Klyachko models. (English) Zbl 1143.22013 J. Funct. Anal. 254, No. 11, 2846-2865 (2008). Reviewer: Eugene Kryachko (Liège) MSC: 22E50 PDFBibTeX XMLCite \textit{O. Offen} and \textit{E. Sayag}, J. Funct. Anal. 254, No. 11, 2846--2865 (2008; Zbl 1143.22013) Full Text: DOI arXiv
Ivanyos, Gábor Deciding universality of quantum gates. (English) Zbl 1110.81045 J. Algebra 310, No. 1, 49-56 (2007). MSC: 81P68 22E70 PDFBibTeX XMLCite \textit{G. Ivanyos}, J. Algebra 310, No. 1, 49--56 (2007; Zbl 1110.81045) Full Text: DOI arXiv
Bernik, Janez; Guralnick, Robert; Mastnak, Mitja Reduction theorems for groups of matrices. (English) Zbl 1054.15011 Linear Algebra Appl. 383, 119-126 (2004). Reviewer: G. E. Wall (Sydney) MSC: 15A21 15A30 20G15 22E20 PDFBibTeX XMLCite \textit{J. Bernik} et al., Linear Algebra Appl. 383, 119--126 (2004; Zbl 1054.15011) Full Text: DOI
Lapid, Erez M. Some results on multiplicities for SL(n). (English) Zbl 0937.22002 Isr. J. Math. 112, 157-186 (1999). Reviewer: S.J.Patterson (Göttingen) MSC: 22E35 PDFBibTeX XMLCite \textit{E. M. Lapid}, Isr. J. Math. 112, 157--186 (1999; Zbl 0937.22002) Full Text: DOI