Niestijl, Milan Generalized positive energy representations of groups of jets. (English) Zbl 07753236 Doc. Math. 28, No. 3, 709-763 (2023). Reviewer: Dmitry Artamonov (Moskva) MSC: 22E66 17B15 PDFBibTeX XMLCite \textit{M. Niestijl}, Doc. Math. 28, No. 3, 709--763 (2023; Zbl 07753236) Full Text: DOI arXiv
Tserunyan, Anush Mixing and double recurrence in probability groups. (English) Zbl 1526.37004 Fundam. Math. 260, No. 1, 77-98 (2023). Reviewer: Michael L. Blank (Moskva) MSC: 37A15 22D40 22F10 03C20 05E16 28C10 37A25 20A15 PDFBibTeX XMLCite \textit{A. Tserunyan}, Fundam. Math. 260, No. 1, 77--98 (2023; Zbl 1526.37004) Full Text: DOI arXiv
Benayadi, Saïd; Boucetta, Mohamed On pseudo-Euclidean Lie algebras whose Levi-Civita product is left Leibniz. (English) Zbl 1518.17008 Differ. Geom. Appl. 87, Article ID 101986, 25 p. (2023). Reviewer: Ernest L. Stitzinger (Raleigh) MSC: 17B05 17A32 22E60 53B05 PDFBibTeX XMLCite \textit{S. Benayadi} and \textit{M. Boucetta}, Differ. Geom. Appl. 87, Article ID 101986, 25 p. (2023; Zbl 1518.17008) Full Text: DOI
Melcher, Tai Stochastic integrals and Brownian motion on abstract nilpotent Lie groups. (English) Zbl 1486.58021 J. Math. Soc. Japan 73, No. 4, 1159-1185 (2021). Reviewer: Athanasios Yannacopoulos (Athína) MSC: 58J65 22E66 28D05 60H05 60J65 PDFBibTeX XMLCite \textit{T. Melcher}, J. Math. Soc. Japan 73, No. 4, 1159--1185 (2021; Zbl 1486.58021) Full Text: DOI arXiv Link
Zlatoš, Pavol Jan Gordon’s conjectures 1 and 2: Pontryagin-van Kampen duality in the hyperfinite setting. (English) Zbl 1486.22006 J. Log. Anal. 13, Paper No. 1, 71 p. (2021). Reviewer: Isaac Goldbring (Irvine) MSC: 22D99 03H05 26E35 28E05 54J05 PDFBibTeX XMLCite \textit{P. J. Zlatoš}, J. Log. Anal. 13, Paper No. 1, 71 p. (2021; Zbl 1486.22006) Full Text: DOI arXiv
Albeverio, Sergio; De Vecchi, Francesco C.; Morando, Paola; Ugolini, Stefania Random transformations and invariance of semimartingales on Lie groups. (English) Zbl 1470.60145 Random Oper. Stoch. Equ. 29, No. 1, 41-65 (2021). MSC: 60H10 22E30 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Random Oper. Stoch. Equ. 29, No. 1, 41--65 (2021; Zbl 1470.60145) Full Text: DOI arXiv
Bambozzi, Federico; Murro, Simone On the uniqueness of invariant states. (English) Zbl 1453.81035 Adv. Math. 376, Article ID 107445, 38 p. (2021). Reviewer: Dmitry Artamonov (Moskva) MSC: 81R05 46L30 53D17 22E70 81R25 58J28 37A05 PDFBibTeX XMLCite \textit{F. Bambozzi} and \textit{S. Murro}, Adv. Math. 376, Article ID 107445, 38 p. (2021; Zbl 1453.81035) Full Text: DOI arXiv
Goldin, Gerald A. Diffeomorphism groups in quantum theory and statistical physics. (English) Zbl 1472.81114 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVIII. Workshop, Białowieża, Poland, June 30 – July 6, 2019. Cham: Birkhäuser. Trends Math., 345-350 (2020). MSC: 81R10 22E66 22E70 81Qxx 81Sxx 82B05 82B10 PDFBibTeX XMLCite \textit{G. A. Goldin}, in: Geometric methods in physics XXXVIII. Workshop, Białowieża, Poland, June 30 -- July 6, 2019. Cham: Birkhäuser. 345--350 (2020; Zbl 1472.81114) Full Text: DOI
Pestov, Vladimir An amenability-like property of finite energy path and loop groups. (Une propriété semblable à la moyennabilité des groupes de chemins et de lacets à énergie finie.) (English. French summary) Zbl 1491.43002 C. R., Math., Acad. Sci. Paris 358, No. 11-12, 1139-1155 (2020). Reviewer: Maedeh Soroushmehr (Tehran) MSC: 43A07 81R10 22E67 PDFBibTeX XMLCite \textit{V. Pestov}, C. R., Math., Acad. Sci. Paris 358, No. 11--12, 1139--1155 (2020; Zbl 1491.43002) Full Text: DOI arXiv
Kochubei, Anatoly N.; Kondratiev, Yuri Representations of the infinite-dimensional \(p\)-adic affine group. (English) Zbl 1441.22032 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 23, No. 1, Article ID 2050002, 11 p. (2020). MSC: 22E66 60B15 PDFBibTeX XMLCite \textit{A. N. Kochubei} and \textit{Y. Kondratiev}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 23, No. 1, Article ID 2050002, 11 p. (2020; Zbl 1441.22032) Full Text: DOI arXiv
Górka, Przemyslaw; Kostrzewa, Tomasz A second look of Sobolev spaces on metrizable groups. (English) Zbl 1453.46038 Ann. Acad. Sci. Fenn., Math. 45, No. 1, 95-120 (2020). MSC: 46E36 22B99 43A80 PDFBibTeX XMLCite \textit{P. Górka} and \textit{T. Kostrzewa}, Ann. Acad. Sci. Fenn., Math. 45, No. 1, 95--120 (2020; Zbl 1453.46038) Full Text: DOI
Christensen, Ole; Goh, Say Song The unitary extension principle on locally compact abelian groups. (English) Zbl 1440.42149 Appl. Comput. Harmon. Anal. 47, No. 1, 1-29 (2019). Reviewer: Bin Han (Edmonton) MSC: 42C15 42C40 22B05 PDFBibTeX XMLCite \textit{O. Christensen} and \textit{S. S. Goh}, Appl. Comput. Harmon. Anal. 47, No. 1, 1--29 (2019; Zbl 1440.42149) Full Text: DOI arXiv
Glöckner, Helge Completeness of infinite-dimensional Lie groups in their left uniformity. (English) Zbl 1409.22016 Can. J. Math. 71, No. 1, 131-152 (2019). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E65 22A05 22E67 46A13 46M40 58D05 PDFBibTeX XMLCite \textit{H. Glöckner}, Can. J. Math. 71, No. 1, 131--152 (2019; Zbl 1409.22016) Full Text: DOI arXiv
Kosyak, Alexander Criteria of irreducibility of the Koopman representations for the group \(\mathrm{GL}_0(2\infty,\mathbb R)\). (English) Zbl 1403.22020 J. Funct. Anal. 276, No. 1, 78-126 (2019). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E65 28C20 43A80 58D20 PDFBibTeX XMLCite \textit{A. Kosyak}, J. Funct. Anal. 276, No. 1, 78--126 (2019; Zbl 1403.22020) Full Text: DOI arXiv
Herbst, Manuel; Neeb, Karl-Hermann On the first order cohomology of infinite-dimensional unitary groups. (Sur la 1-cohomologie des groupes unitaires de dimension infinie.) (English. French summary) Zbl 1412.22027 Ann. Inst. Fourier 68, No. 5, 2149-2176 (2018). Reviewer: Dongwen Liu (Zhejiang) MSC: 22E41 PDFBibTeX XMLCite \textit{M. Herbst} and \textit{K.-H. Neeb}, Ann. Inst. Fourier 68, No. 5, 2149--2176 (2018; Zbl 1412.22027) Full Text: DOI arXiv
Vershik, A. M.; Graev, M. I. Nonunitary representations of the groups of \(U(p, q)\)-currents for \(q\geq p > 1\). (English. Russian original) Zbl 1397.22017 J. Math. Sci., New York 232, No. 2, 99-120 (2018); translation from Zap. Nauchn. Semin. POMI 462, 5-38 (2017). Reviewer: V. V. Gorbatsevich (Moskva) MSC: 22E65 22E46 22D30 PDFBibTeX XMLCite \textit{A. M. Vershik} and \textit{M. I. Graev}, J. Math. Sci., New York 232, No. 2, 99--120 (2018; Zbl 1397.22017); translation from Zap. Nauchn. Semin. POMI 462, 5--38 (2017) Full Text: DOI arXiv
Juršėnas, Rytis Computation of the unitary group for the Rashba spin-orbit coupled operator, with application to point-interactions. (English) Zbl 1387.81392 J. Phys. A, Math. Theor. 51, No. 1, Article ID 015203, 21 p. (2018). MSC: 81V55 81R05 22D10 PDFBibTeX XMLCite \textit{R. Juršėnas}, J. Phys. A, Math. Theor. 51, No. 1, Article ID 015203, 21 p. (2018; Zbl 1387.81392) Full Text: DOI arXiv
Albeverio, S.; Driver, B. K.; Gordina, Maria; Vershik, A. M. Equivalence of the Brownian and energy representations. (English) Zbl 1360.22026 J. Math. Sci., New York 219, No. 5, 612-630 (2016) and Zap. Nauchn. Semin. POMI 441, 17-44 (2015). Reviewer: Jacques Franchi (Strasbourg) MSC: 22E65 58J65 22E30 60H30 22E45 60B15 PDFBibTeX XMLCite \textit{S. Albeverio} et al., J. Math. Sci., New York 219, No. 5, 612--630 (2016; Zbl 1360.22026) Full Text: DOI arXiv
Cornulier, Yves Gradings on Lie algebras, systolic growth, and cohopfian properties of nilpotent groups. (Graduations sur les algèbres de Lie, croissance systolique, et propriétés cohopfiennes des groupes nilpotents.) (English. French summary) Zbl 1370.17015 Bull. Soc. Math. Fr. 144, No. 4, 693-744 (2016). Reviewer: Andrea Caranti (Trento) MSC: 17B30 17B70 20F18 20F69 20E07 22E25 22E40 PDFBibTeX XMLCite \textit{Y. Cornulier}, Bull. Soc. Math. Fr. 144, No. 4, 693--744 (2016; Zbl 1370.17015) Full Text: arXiv
Jorgensen, Palle E. T.; Neeb, Karl-Hermann; Ólafsson, Gestur Reflection positive stochastic processes indexed by Lie groups. (English) Zbl 1343.22008 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 058, 49 p. (2016). Reviewer: Guy Jumarie (Montréal) MSC: 22E45 60G15 81S40 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 058, 49 p. (2016; Zbl 1343.22008) Full Text: DOI arXiv
De Vecchi, Francesco C.; Morando, Paola; Ugolini, Stefania Symmetries of stochastic differential equations: a geometric approach. (English) Zbl 1382.60081 J. Math. Phys. 57, No. 6, 063504, 17 p. (2016). MSC: 60H10 22E60 35R60 17B81 PDFBibTeX XMLCite \textit{F. C. De Vecchi} et al., J. Math. Phys. 57, No. 6, 063504, 17 p. (2016; Zbl 1382.60081) Full Text: DOI arXiv
Sládek, Filip; Zlatoš, Pavol A local stability principle for continuous group homomorphisms in nonstandard setting. (English) Zbl 1328.22002 Aequationes Math. 89, No. 4, 991-1001 (2015). Reviewer: Dieter Remus (Hagen) MSC: 22D12 54J05 22C05 PDFBibTeX XMLCite \textit{F. Sládek} and \textit{P. Zlatoš}, Aequationes Math. 89, No. 4, 991--1001 (2015; Zbl 1328.22002) Full Text: DOI
Neeb, K. H. Semibounded unitary representations of double extensions of Hilbert-loop groups. (Représentations unitaires délimitèes ci-dessous de double-extensions des groupes de lacettes hilbertiens.) (English. French summary) Zbl 1315.22024 Ann. Inst. Fourier 64, No. 5, 1823-1892 (2014). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 22E65 22E45 22E66 22E67 81R10 PDFBibTeX XMLCite \textit{K. H. Neeb}, Ann. Inst. Fourier 64, No. 5, 1823--1892 (2014; Zbl 1315.22024) Full Text: DOI arXiv
Kelbert, M.; Suhov, Yu.; Yambartsev, A. A Mermin-Wagner theorem on Lorentzian triangulations with quantum spins. (English) Zbl 1303.82011 Braz. J. Probab. Stat. 28, No. 4, 515-537 (2014). MSC: 82B20 05C80 22E70 60J80 PDFBibTeX XMLCite \textit{M. Kelbert} et al., Braz. J. Probab. Stat. 28, No. 4, 515--537 (2014; Zbl 1303.82011) Full Text: DOI arXiv Euclid
Kosyak, Alexandre V. Induced representations of infinite-dimensional groups. I. (English) Zbl 1290.22013 J. Funct. Anal. 266, No. 6, 3395-3434 (2014). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E65 46L10 22D25 PDFBibTeX XMLCite \textit{A. V. Kosyak}, J. Funct. Anal. 266, No. 6, 3395--3434 (2014; Zbl 1290.22013) Full Text: DOI arXiv
Jing, Naihuan On classes of local unitary transformations. (English) Zbl 1239.81033 Algebra Colloq. 19, No. 2, 283-292 (2012). MSC: 81P45 81P15 81R05 22E46 22E70 PDFBibTeX XMLCite \textit{N. Jing}, Algebra Colloq. 19, No. 2, 283--292 (2012; Zbl 1239.81033) Full Text: DOI arXiv Link
Applebaum, David Pseudo-differential operators and Markov semigroups on compact Lie groups. (English) Zbl 1228.22009 J. Math. Anal. Appl. 384, No. 2, 331-348 (2011). Reviewer: Huoxiong Wu (Xiamen Fujian) MSC: 22E30 43A30 60G51 PDFBibTeX XMLCite \textit{D. Applebaum}, J. Math. Anal. Appl. 384, No. 2, 331--348 (2011; Zbl 1228.22009) Full Text: DOI arXiv Link
Pickrell, Doug Heat kernel measures and critical limits. (English) Zbl 1278.58004 Neeb, Karl-Hermann (ed.) et al., Developments and trends in infinite-dimensional Lie theory. Basel: Birkhäuser (ISBN 978-0-8176-4740-7/hbk; 978-0-8176-4741-4/ebook). Progress in Mathematics 288, 393-415 (2011). MSC: 58D20 22E65 22E67 PDFBibTeX XMLCite \textit{D. Pickrell}, Prog. Math. 288, 393--415 (2011; Zbl 1278.58004) Full Text: DOI arXiv
Hasebe, Takahiro White noise analysis on manifolds and the energy representation of a gauge group. (English) Zbl 1218.22014 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 13, No. 4, 619-627 (2010). Reviewer: Yuri E. Gliklikh (Voronezh) MSC: 22E66 81R10 60H40 PDFBibTeX XMLCite \textit{T. Hasebe}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 13, No. 4, 619--627 (2010; Zbl 1218.22014) Full Text: DOI arXiv
Neeb, Karl-Hermann On differentiable vectors for representations of infinite dimensional Lie groups. (English) Zbl 1204.22016 J. Funct. Anal. 259, No. 11, 2814-2855 (2010). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 22E66 22E65 17B65 58B25 58B10 46G25 PDFBibTeX XMLCite \textit{K.-H. Neeb}, J. Funct. Anal. 259, No. 11, 2814--2855 (2010; Zbl 1204.22016) Full Text: DOI arXiv
Ando, Hiroshi On the local structure of the representation of a local gauge group. (English) Zbl 1203.22015 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 13, No. 2, 223-242 (2010). Reviewer: Vladimir V. Kisil (Leeds) MSC: 22E65 22E70 06B15 81R10 PDFBibTeX XMLCite \textit{H. Ando}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 13, No. 2, 223--242 (2010; Zbl 1203.22015) Full Text: DOI arXiv
Anashin, Vladimir S. Noncommutative algebraic dynamics: ergodic theory for profinite groups. (English. Russian original) Zbl 1201.37010 Proc. Steklov Inst. Math. 265, 30-58 (2009); translation from Tr. Mat. Inst. Steklova 265, 36-65 (2009). Reviewer: Yuefei Wang (Beijing) MSC: 37P20 11S82 20E18 22D40 37A45 PDFBibTeX XMLCite \textit{V. S. Anashin}, Proc. Steklov Inst. Math. 265, 30--58 (2009; Zbl 1201.37010); translation from Tr. Mat. Inst. Steklova 265, 36--65 (2009) Full Text: DOI
Fan, Hong-Yi; Liu, Shu-Guang New \(n\)-mode Bose operator realization of SU(2) Lie algebra and its application in entangled fractional Fourier transform. (English) Zbl 1170.81321 Mod. Phys. Lett. A 24, No. 8, 615-624 (2009). MSC: 81P68 22E70 PDFBibTeX XMLCite \textit{H.-Y. Fan} and \textit{S.-G. Liu}, Mod. Phys. Lett. A 24, No. 8, 615--624 (2009; Zbl 1170.81321) Full Text: DOI
Ludkovsky, S. V. Stochastic processes on geometric loop groups, diffeomorphism groups of connected manifolds, and associated unitary representations. (English. Russian original) Zbl 1153.60031 J. Math. Sci., New York 141, No. 3, 1331-1384 (2007); translation from Sovrem. Mat. Prilozh. 28, 103-158 (2005). Reviewer: Raouf Ghomrasni (Muizenberg) MSC: 60H05 58J65 22E67 PDFBibTeX XMLCite \textit{S. V. Ludkovsky}, J. Math. Sci., New York 141, No. 3, 1331--1384 (2007; Zbl 1153.60031); translation from Sovrem. Mat. Prilozh. 28, 103--158 (2005) Full Text: DOI
Beltiţă, Daniel; Ratiu, Tudor S.; Tumpach, Alice Barbara The restricted Grassmannian, Banach Lie-Poisson spaces, and coadjoint orbits. (English) Zbl 1120.22007 J. Funct. Anal. 247, No. 1, 138-168 (2007). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E65 46H70 PDFBibTeX XMLCite \textit{D. Beltiţă} et al., J. Funct. Anal. 247, No. 1, 138--168 (2007; Zbl 1120.22007) Full Text: DOI arXiv
Neeb, Karl-Hermann Towards a Lie theory of locally convex groups. (English) Zbl 1161.22012 Jpn. J. Math. (3) 1, No. 2, 291-468 (2006). Reviewer: Christoph Wockel (Göttingen) MSC: 22E65 22E15 PDFBibTeX XMLCite \textit{K.-H. Neeb}, Jpn. J. Math. (3) 1, No. 2, 291--468 (2006; Zbl 1161.22012) Full Text: DOI arXiv
Albeverio, Sergio; Kosyak, Alexandre Quasiregular representations of the infinite-dimensional nilpotent group. (English) Zbl 1098.22009 J. Funct. Anal. 236, No. 2, 634-681 (2006). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 22E65 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{A. Kosyak}, J. Funct. Anal. 236, No. 2, 634--681 (2006; Zbl 1098.22009) Full Text: DOI
Shimada, Yoshihito On irreducibility of the energy representation of the gauge group and the white noise distribution theory. (English) Zbl 1070.58007 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 8, No. 2, 153-177 (2005). MSC: 58D05 22E65 PDFBibTeX XMLCite \textit{Y. Shimada}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 8, No. 2, 153--177 (2005; Zbl 1070.58007) Full Text: DOI arXiv
Albeverio, Sergio; Kosyak, Alexandre Quasiregular representations of the infinite-dimensional Borel group. (English) Zbl 1058.22015 J. Funct. Anal. 218, No. 2, 445-474 (2005). Reviewer: Kun Soo Chang (Seoul) MSC: 22E65 28C20 43A80 58D20 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{A. Kosyak}, J. Funct. Anal. 218, No. 2, 445--474 (2005; Zbl 1058.22015) Full Text: DOI
Bertram, W.; Glöckner, H.; Neeb, K.-H. Differential calculus over general base fields and rings. (English) Zbl 1099.58006 Expo. Math. 22, No. 3, 213-282 (2004). Reviewer: Sergey Lüdkovsky (Moskva) MSC: 58C20 22E65 26E15 26E20 26E30 PDFBibTeX XMLCite \textit{W. Bertram} et al., Expo. Math. 22, No. 3, 213--282 (2004; Zbl 1099.58006) Full Text: DOI
Glebsky, L. Yu.; Gordon, E. I. On approximation of locally compact groups by finite algebraic systems. (English) Zbl 1104.22006 Electron. Res. Announc. Am. Math. Soc. 10, 21-28 (2004). MSC: 22D05 42A38 68Q99 PDFBibTeX XMLCite \textit{L. Yu. Glebsky} and \textit{E. I. Gordon}, Electron. Res. Announc. Am. Math. Soc. 10, 21--28 (2004; Zbl 1104.22006) Full Text: DOI EuDML EMIS
Yasuda, Kumi Trace formula on the \(p\)-adic upper half-plane. (English) Zbl 1059.22011 J. Funct. Anal. 216, No. 2, 422-454 (2004). Reviewer: Eugene Kryachko (Liège) MSC: 22E35 60J99 PDFBibTeX XMLCite \textit{K. Yasuda}, J. Funct. Anal. 216, No. 2, 422--454 (2004; Zbl 1059.22011) Full Text: DOI
Kosyak, A. V.; Léandre, R. Regular representations of the central extension of the group of diffeomorphisms of the circle. (English) Zbl 1146.22303 Dokl. Math. 66, No. 1, 75-77 (2002) and Dokl. Akad. Nauk 385, No. 4, 453-455 (2002). MSC: 22F50 22E65 17B65 PDFBibTeX XMLCite \textit{A. V. Kosyak} and \textit{R. Léandre}, Dokl. Math. 66, No. 1, 75--77 (2002; Zbl 1146.22303) Full Text: DOI
Glöckner, Helge Lie group structures on quotient groups and universal complexifications for infinite-dimensional Lie groups. (English) Zbl 1022.22021 J. Funct. Anal. 194, No. 2, 347-409 (2002). Reviewer: Joachim Hilgert (Clausthal) MSC: 22E65 PDFBibTeX XMLCite \textit{H. Glöckner}, J. Funct. Anal. 194, No. 2, 347--409 (2002; Zbl 1022.22021) Full Text: DOI
Hall, Brian C. Harmonic analysis with respect to heat kernel measure. (English) Zbl 0971.22008 Bull. Am. Math. Soc., New Ser. 38, No. 1, 43-78 (2001). Reviewer: Jeffrey J.Mitchell (Waco) MSC: 22E30 81S30 53D50 60H30 43A32 46E20 PDFBibTeX XMLCite \textit{B. C. Hall}, Bull. Am. Math. Soc., New Ser. 38, No. 1, 43--78 (2001; Zbl 0971.22008) Full Text: DOI arXiv
Smirnova, M. G. Representation of Green’s function for the heat equation on a compact Lie group. (English. Russian original) Zbl 0982.60069 Math. Notes 67, No. 3, 333-347 (2000); translation from Mat. Zametki 67, No. 3, 397-413 (2000). Reviewer: Jeffrey J.Mitchell (Waco) MSC: 60H99 22E30 31-XX 58J99 PDFBibTeX XMLCite \textit{M. G. Smirnova}, Math. Notes 67, No. 3, 397--413 (2000; Zbl 0982.60069); translation from Mat. Zametki 67, No. 3, 397--413 (2000) Full Text: DOI
Kosyak, A. V. Inversion quasi-invariant Gaussian measures on the group of upper-triangular matrices of infinite order. (English. Russian original) Zbl 0961.43001 Funct. Anal. Appl. 34, No. 1, 70-72 (2000); translation from Funkts. Anal. Prilozh. 34, No. 1, 86-90 (2000). Reviewer: Aubrey Wulfsohn (Coventry) MSC: 43A05 22E65 PDFBibTeX XMLCite \textit{A. V. Kosyak}, Funct. Anal. Appl. 34, No. 1, 70--72 (2000; Zbl 0961.43001); translation from Funkts. Anal. Prilozh. 34, No. 1, 86--90 (2000) Full Text: DOI
Wang, Zheng-Dong Invariant sectors of the regular representation of loop groups. (English) Zbl 0870.22013 Lett. Math. Phys. 37, No. 4, 461-465 (1996). Reviewer: V.F.Molchanov (Tambov) MSC: 22E67 PDFBibTeX XMLCite \textit{Z.-D. Wang}, Lett. Math. Phys. 37, No. 4, 461--465 (1996; Zbl 0870.22013) Full Text: DOI
Coşkun, Erdal; Heyer, Herbert On the generating functional of a convolution semigroup. (English) Zbl 0857.22003 Ann. Math. Blaise Pascal 3, No. 1, 51-64 (1996). MSC: 22A20 60B15 PDFBibTeX XMLCite \textit{E. Coşkun} and \textit{H. Heyer}, Ann. Math. Blaise Pascal 3, No. 1, 51--64 (1996; Zbl 0857.22003) Full Text: DOI Numdam
Gordon, E. I.; Korchagina, I. A. Hyperfinite approximations of compact groups and their representations. (English. Russian original) Zbl 0855.22009 Sib. Math. J. 36, No. 2, 270-286 (1995); translation from Sib. Mat. Zh. 36, No. 2, 308-327 (1995). Reviewer: E.Kryachko (Kiev) MSC: 22D10 43A25 43A90 PDFBibTeX XMLCite \textit{E. I. Gordon} and \textit{I. A. Korchagina}, Sib. Math. J. 36, No. 2, 270--286 (1995; Zbl 0855.22009); translation from Sib. Mat. Zh. 36, No. 2, 308--327 (1995) Full Text: DOI
Molchanov, V. A. Nonstandard extensions of uniform algebraic systems. (English. Russian original) Zbl 0853.03022 Sib. Math. J. 35, No. 5, 976-985 (1994); translation from Sib. Mat. Zh. 35, No. 5, 1094-1105 (1994). MSC: 03H05 22A30 54J05 54E15 46S20 PDFBibTeX XMLCite \textit{V. A. Molchanov}, Sib. Math. J. 35, No. 5, 976--985 (1994; Zbl 0853.03022); translation from Sib. Mat. Zh. 35, No. 5, 1094--1105 (1994) Full Text: DOI
Neretin, Yurij A. Some remarks on quasi-invariant actions of loop groups and the group of diffeomorphisms of the circle. (English) Zbl 0840.22036 Commun. Math. Phys. 164, No. 3, 599-626 (1994). Reviewer: A.Tralle (Szczecin) MSC: 22E67 58D05 PDFBibTeX XMLCite \textit{Y. A. Neretin}, Commun. Math. Phys. 164, No. 3, 599--626 (1994; Zbl 0840.22036) Full Text: DOI
Albeverio, S.; Torresani, B. Some remarks on representations of jet groups and gauge groups. (English) Zbl 0833.22025 J. Math. Phys. 35, No. 9, 4897-4908 (1994). Reviewer: F.M.Ragab (Cairo) MSC: 22E70 81R10 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{B. Torresani}, J. Math. Phys. 35, No. 9, 4897--4908 (1994; Zbl 0833.22025) Full Text: DOI HAL
Marion, J. A unitarization process for some non-locally compact topological groups. (English) Zbl 0790.22011 Math. Z. 214, No. 2, 217-224 (1993). Reviewer: J.Marion (Marseille) MSC: 22E65 28C20 58D20 PDFBibTeX XMLCite \textit{J. Marion}, Math. Z. 214, No. 2, 217--224 (1993; Zbl 0790.22011) Full Text: DOI EuDML
Marion, Jean Cylindrical representations of some infinite dimensional nuclear Lie groups. (English) Zbl 0763.22014 Bull. Aust. Math. Soc. 46, No. 2, 295-310 (1992). Reviewer: P.Godin (Bruxelles) MSC: 22E65 58B25 PDFBibTeX XMLCite \textit{J. Marion}, Bull. Aust. Math. Soc. 46, No. 2, 295--310 (1992; Zbl 0763.22014) Full Text: DOI
Gross, Leonard Logarithmic Sobolev inequalities on loop groups. (English) Zbl 0742.22003 J. Funct. Anal. 102, No. 2, 268-313 (1991). Reviewer: E.J.Akutowicz (Montpellier) MSC: 22E30 22E67 60J65 43A05 PDFBibTeX XMLCite \textit{L. Gross}, J. Funct. Anal. 102, No. 2, 268--313 (1991; Zbl 0742.22003) Full Text: DOI
Kosyak, A. V. Irreducibility criterion for regular Gaussian representations of groups of finite upper triangular matrices. (English. Russian original) Zbl 0780.22007 Funct. Anal. Appl. 24, No. 3, 243-245 (1990); translation from Funkts. Anal. Prilozh. 24, No. 3, 82-83 (1990). MSC: 22E65 PDFBibTeX XMLCite \textit{A. V. Kosyak}, Funct. Anal. Appl. 24, No. 3, 243--245 (1990; Zbl 0780.22007); translation from Funkts. Anal. Prilozh. 24, No. 3, 82--83 (1990) Full Text: DOI
Piazza, Paolo; Wu, Siye Automorphisms of extended current algebras. (English) Zbl 0676.22013 Proc. Am. Math. Soc. 106, No. 4, 1099-1106 (1989). Reviewer: E.Abe MSC: 22E65 17B67 58B25 PDFBibTeX XMLCite \textit{P. Piazza} and \textit{S. Wu}, Proc. Am. Math. Soc. 106, No. 4, 1099--1106 (1989; Zbl 0676.22013) Full Text: DOI
Marion, J.; Testard, D. Energy representations of gauge groups associated with Riemannian flags. (English) Zbl 0652.53033 J. Funct. Anal. 76, No. 1, 160-175 (1988). Reviewer: M.Nagaraj MSC: 53C30 22E46 53C80 PDFBibTeX XMLCite \textit{J. Marion} and \textit{D. Testard}, J. Funct. Anal. 76, No. 1, 160--175 (1988; Zbl 0652.53033) Full Text: DOI
Wallach, Nolan R. On the irreducibility and inequivalence of unitary representations of gauge groups. (English) Zbl 0632.22014 Compos. Math. 64, 3-29 (1987). Reviewer: A.K.Guc MSC: 22E65 53C20 PDFBibTeX XMLCite \textit{N. R. Wallach}, Compos. Math. 64, 3--29 (1987; Zbl 0632.22014) Full Text: Numdam EuDML
Torresani, Bruno Unitary positive energy representations of the gauge group. (English) Zbl 0618.22013 Lett. Math. Phys. 13, 7-15 (1987). Reviewer: A.Klimyk MSC: 22E65 22E70 17B65 PDFBibTeX XMLCite \textit{B. Torresani}, Lett. Math. Phys. 13, 7--15 (1987; Zbl 0618.22013) Full Text: DOI
Frenkel, I. B. Orbital theory for affine Lie algebras. (English) Zbl 0548.17007 Invent. Math. 77, 301-352 (1984). Reviewer: W.Rossmann MSC: 17B65 22E30 22E45 PDFBibTeX XMLCite \textit{I. B. Frenkel}, Invent. Math. 77, 301--352 (1984; Zbl 0548.17007) Full Text: DOI EuDML
Albeverio, Sergio; Høegh-Krohn, Raphael; Testard, Daniel Factoriality of representations of the group of paths on SU(n). (English) Zbl 0541.22013 J. Funct. Anal. 57, 49-55 (1984). Reviewer: B.Radhakrishnan MSC: 22E65 43A75 20F38 22A25 28B10 PDFBibTeX XMLCite \textit{S. Albeverio} et al., J. Funct. Anal. 57, 49--55 (1984; Zbl 0541.22013) Full Text: DOI
Albeverio, Sergio; Blanchard, Phillip; Combe, Ph.; Høegh-Krohn, Raphael; Sirugue, M. Local relativistic invariant flows for quantum fields. (English) Zbl 0538.46053 Commun. Math. Phys. 90, 329-351 (1983). Reviewer: P.Hillion MSC: 46L60 81T05 22E70 46N99 81R10 81T20 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Commun. Math. Phys. 90, 329--351 (1983; Zbl 0538.46053) Full Text: DOI
Erven, Joachim; Falkowski, Bernd-Jürgen Low-order cohomology of semi-simple Lie groups with applications to continuous tensor products and current groups. (English) Zbl 0532.22013 Acta Appl. Math. 1, 333-354 (1983). MSC: 22E41 22E70 81R10 43A65 43A35 22E46 22D10 PDFBibTeX XMLCite \textit{J. Erven} and \textit{B.-J. Falkowski}, Acta Appl. Math. 1, 333--354 (1983; Zbl 0532.22013) Full Text: DOI
Albeverio, Sergio; Høegh-Krohn, Raphael; Testard, Daniel; Vershik, A. Factorial representations of path groups. (English) Zbl 0522.22013 J. Funct. Anal. 51, 115-131 (1983). MSC: 22E65 22D25 22E70 PDFBibTeX XMLCite \textit{S. Albeverio} et al., J. Funct. Anal. 51, 115--131 (1983; Zbl 0522.22013) Full Text: DOI
Marion, Jean Generalized energy representations for current groups. (English) Zbl 0521.58018 J. Funct. Anal. 54, 1-17 (1983). MSC: 58D15 22E65 81R10 PDFBibTeX XMLCite \textit{J. Marion}, J. Funct. Anal. 54, 1--17 (1983; Zbl 0521.58018) Full Text: DOI
Albeverio, Sergio; Høegh-Krohn, Raphael; Testard, Daniel Irreducibility and reducibility for the energy representation of the group of mappings of a Riemannian manifold into a compact semisimple Lie group. (English) Zbl 0488.22038 J. Funct. Anal. 41, 378-396 (1981). MSC: 22E65 22E70 PDFBibTeX XMLCite \textit{S. Albeverio} et al., J. Funct. Anal. 41, 378--396 (1981; Zbl 0488.22038) Full Text: DOI
Combe, Ph.; Høegh-Krohn, Raphael; Rodriguez, R.; Sirugue, M.; Sirugue-Collin, M. Poisson processes on groups and Feynman path integrals. (English) Zbl 0526.22003 Commun. Math. Phys. 77, 269-288 (1980). MSC: 22A25 81S40 81R10 60J99 PDFBibTeX XMLCite \textit{Ph. Combe} et al., Commun. Math. Phys. 77, 269--288 (1980; Zbl 0526.22003) Full Text: DOI
Albeverio, Sergio; Høegh-Krohn, Raphael Ergodic actions by compact groups on C*-algebras. (English) Zbl 0417.46067 Math. Z. 174, 1-17 (1980). MSC: 46L55 22D25 46L51 46L53 46L54 46L35 46L40 22C05 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{R. Høegh-Krohn}, Math. Z. 174, 1--17 (1980; Zbl 0417.46067) Full Text: DOI EuDML