Shtern, A. I. Extension of characters from the radical of a connected Lie group to a one-dimensional pure pseudorepresentation of the group revisited. (English) Zbl 07822064 Russ. J. Math. Phys. 31, No. 1, 146-148 (2024). Reviewer: Enrico Jabara (Venezia) MSC: 22E46 20C99 PDFBibTeX XMLCite \textit{A. I. Shtern}, Russ. J. Math. Phys. 31, No. 1, 146--148 (2024; Zbl 07822064) Full Text: DOI
Shtern, A. I. Lie’s theorem for solvable connected Lie groups without the continuity assumption. (English) Zbl 07788025 Russ. J. Math. Phys. 30, No. 4, 701-703 (2023). Reviewer: Enrico Jabara (Venezia) MSC: 22E46 20F16 20C15 PDFBibTeX XMLCite \textit{A. I. Shtern}, Russ. J. Math. Phys. 30, No. 4, 701--703 (2023; Zbl 07788025) Full Text: DOI
Shtern, A. I. Continuity of locally bounded endomorphisms of connected Lie groups without nontrivial compact. (English) Zbl 07782914 Adv. Stud. Contemp. Math., Kyungshang 33, No. 2, 107-110 (2023). MSC: 22A25 22E25 PDFBibTeX XMLCite \textit{A. I. Shtern}, Adv. Stud. Contemp. Math., Kyungshang 33, No. 2, 107--110 (2023; Zbl 07782914) Full Text: DOI
Shtern, A. I. Continuity conditions for locally bounded endomorphisms of linear Lie groups. (English) Zbl 07782904 Adv. Stud. Contemp. Math., Kyungshang 33, No. 1, 1-5 (2023). MSC: 22A99 22E99 PDFBibTeX XMLCite \textit{A. I. Shtern}, Adv. Stud. Contemp. Math., Kyungshang 33, No. 1, 1--5 (2023; Zbl 07782904) Full Text: DOI
Shtern, A. I. The discontinuity group of a locally bounded homomorphism of a connected Lie group into a connected Lie group is commutative. (English) Zbl 07741505 Russ. J. Math. Phys. 30, No. 3, 397-398 (2023). Reviewer: Enrico Jabara (Venezia) MSC: 22E15 PDFBibTeX XMLCite \textit{A. I. Shtern}, Russ. J. Math. Phys. 30, No. 3, 397--398 (2023; Zbl 07741505) Full Text: DOI arXiv
Shtern, A. I. Commutativity of the discontinuity group for a locally bounded homomorphism of a connected Lie group into a linear connected Lie group. (English) Zbl 07731440 Proc. Jangjeon Math. Soc. 26, No. 3, 341-344 (2023). MSC: 22E15 PDFBibTeX XMLCite \textit{A. I. Shtern}, Proc. Jangjeon Math. Soc. 26, No. 3, 341--344 (2023; Zbl 07731440) Full Text: DOI
Shtern, A. I. A version of the Weyl complete reducibility theorem for not necessarily continuous representations of connected Lie groups. (English) Zbl 07712745 Russ. J. Math. Phys. 30, No. 2, 257-258 (2023). MSC: 22E45 PDFBibTeX XMLCite \textit{A. I. Shtern}, Russ. J. Math. Phys. 30, No. 2, 257--258 (2023; Zbl 07712745) Full Text: DOI
Shtern, A. I. Continuity criterion for locally bounded endomorphisms of connected reductive Lie groups. (English) Zbl 07681437 Russ. J. Math. Phys. 30, No. 1, 126-127 (2023). MSC: 22E15 PDFBibTeX XMLCite \textit{A. I. Shtern}, Russ. J. Math. Phys. 30, No. 1, 126--127 (2023; Zbl 07681437) Full Text: DOI
Shtern, A. I. A special case of an unbounded pseudorepresentation of an amenable group. (English) Zbl 1516.22002 Adv. Stud. Contemp. Math., Kyungshang 32, No. 3, 431-433 (2022). MSC: 22A99 22E99 PDFBibTeX XMLCite \textit{A. I. Shtern}, Adv. Stud. Contemp. Math., Kyungshang 32, No. 3, 431--433 (2022; Zbl 1516.22002) Full Text: DOI
Shtern, A. I. A revised formula for a locally bounded pseudocharacter on an almost connected locally compact group. (English) Zbl 1516.22001 Adv. Stud. Contemp. Math., Kyungshang 32, No. 4, 543-548 (2022). MSC: 22A99 22E99 PDFBibTeX XMLCite \textit{A. I. Shtern}, Adv. Stud. Contemp. Math., Kyungshang 32, No. 4, 543--548 (2022; Zbl 1516.22001) Full Text: DOI
Shtern, A. I. Group of one-dimensional bounded pseudorepresentations of a group. (English) Zbl 1507.22013 Adv. Stud. Contemp. Math., Kyungshang 32, No. 2, 247-249 (2022). MSC: 22A25 22E15 PDFBibTeX XMLCite \textit{A. I. Shtern}, Adv. Stud. Contemp. Math., Kyungshang 32, No. 2, 247--249 (2022; Zbl 1507.22013)
Shtern, A. I. Continuity criterion for locally bounded finite-dimensional representations of simply connected solvable Lie groups. (English) Zbl 1518.22014 Russ. J. Math. Phys. 29, No. 2, 238-239 (2022). MSC: 22E27 PDFBibTeX XMLCite \textit{A. I. Shtern}, Russ. J. Math. Phys. 29, No. 2, 238--239 (2022; Zbl 1518.22014) Full Text: DOI
Shtern, A. I. Tensor products of irreducible finite-dimensional locally bounded pseudorepresentations of connected simple Lie groups. (English) Zbl 1492.22017 Adv. Stud. Contemp. Math., Kyungshang 32, No. 1, 1-4 (2022). MSC: 22E99 22A99 PDFBibTeX XMLCite \textit{A. I. Shtern}, Adv. Stud. Contemp. Math., Kyungshang 32, No. 1, 1--4 (2022; Zbl 1492.22017) Full Text: DOI
Shtern, A. I. Continuity criterion for locally bounded automorphisms of central extensions of perfect Lie groups with discrete center. (English) Zbl 1507.22026 Russ. J. Math. Phys. 29, No. 1, 119-120 (2022). MSC: 22E15 PDFBibTeX XMLCite \textit{A. I. Shtern}, Russ. J. Math. Phys. 29, No. 1, 119--120 (2022; Zbl 1507.22026) Full Text: DOI
Shtern, A. I. A generalization of Lie’s theorem to certain non-Lie solvable groups. (English) Zbl 07683393 Proc. Jangjeon Math. Soc. 24, No. 2, 263-267 (2021). MSC: 20F16 20C15 22E10 22E27 PDFBibTeX XMLCite \textit{A. I. Shtern}, Proc. Jangjeon Math. Soc. 24, No. 2, 263--267 (2021; Zbl 07683393) Full Text: DOI
Shtern, A. I. Locally bounded automorphisms of connected Lie groups without nontrivial compact connected subgroups. (English) Zbl 1492.22016 Adv. Stud. Contemp. Math., Kyungshang 31, No. 4, 501-504 (2021). MSC: 22E99 22A99 PDFBibTeX XMLCite \textit{A. I. Shtern}, Adv. Stud. Contemp. Math., Kyungshang 31, No. 4, 501--504 (2021; Zbl 1492.22016) Full Text: DOI
Shtern, A. I. Groups of one-dimensional pure pseudo representations of groups. (English) Zbl 1492.22015 Adv. Stud. Contemp. Math., Kyungshang 31, No. 3, 389-393 (2021). MSC: 22E99 22A99 PDFBibTeX XMLCite \textit{A. I. Shtern}, Adv. Stud. Contemp. Math., Kyungshang 31, No. 3, 389--393 (2021; Zbl 1492.22015) Full Text: DOI
Shtern, A. I. Continuity criteria for locally bounded automorphisms of central extensions of perfect Lie groups. (English) Zbl 1487.22007 Russ. J. Math. Phys. 28, No. 4, 543-544 (2021). MSC: 22E15 PDFBibTeX XMLCite \textit{A. I. Shtern}, Russ. J. Math. Phys. 28, No. 4, 543--544 (2021; Zbl 1487.22007) Full Text: DOI
Shtern, A. I. Continuity criterion for locally bounded automorphisms of connected reductive Lie groups. (English) Zbl 1481.22006 Russ. J. Math. Phys. 28, No. 3, 356-357 (2021). Reviewer: Laura Geatti (Roma) MSC: 22E15 PDFBibTeX XMLCite \textit{A. I. Shtern}, Russ. J. Math. Phys. 28, No. 3, 356--357 (2021; Zbl 1481.22006) Full Text: DOI
Shtern, A. I. Continuous finite-dimensional pseudorepresentations of \(\mathrm{SL} (2, \mathbb{Q}_p )\) with small defect are trivial: a quantitative approach. (English) Zbl 1441.22030 Russ. J. Math. Phys. 27, No. 2, 251-253 (2020). MSC: 22E50 PDFBibTeX XMLCite \textit{A. I. Shtern}, Russ. J. Math. Phys. 27, No. 2, 251--253 (2020; Zbl 1441.22030) Full Text: DOI
Shtern, A. I. Connected Lie groups admitting an embedding in a connected amenable Lie group. (English) Zbl 1441.22010 Russ. J. Math. Phys. 26, No. 4, 499-500 (2019). MSC: 22E20 43A07 PDFBibTeX XMLCite \textit{A. I. Shtern}, Russ. J. Math. Phys. 26, No. 4, 499--500 (2019; Zbl 1441.22010) Full Text: DOI
Shtern, A. I. Stable pseudorepresentations of a connected Lie group. (English) Zbl 1426.22005 Russ. J. Math. Phys. 26, No. 3, 406-407 (2019). MSC: 22A99 22A25 22E99 PDFBibTeX XMLCite \textit{A. I. Shtern}, Russ. J. Math. Phys. 26, No. 3, 406--407 (2019; Zbl 1426.22005) Full Text: DOI
Shtern, A. I. Continuity criterion for the restriction to the commutator subgroup of a locally bounded finite-dimensional representation of a connected Lie group. (English) Zbl 1416.22015 Russ. J. Math. Phys. 26, No. 2, 206-207 (2019). MSC: 22E45 22D12 PDFBibTeX XMLCite \textit{A. I. Shtern}, Russ. J. Math. Phys. 26, No. 2, 206--207 (2019; Zbl 1416.22015) Full Text: DOI
Shtern, A. I. A version of the Weyl complete reducibility theorem for not necessarily continuous representations of connected Lie groups. (English) Zbl 1416.22014 Russ. J. Math. Phys. 26, No. 1, 75-76 (2019). MSC: 22E45 PDFBibTeX XMLCite \textit{A. I. Shtern}, Russ. J. Math. Phys. 26, No. 1, 75--76 (2019; Zbl 1416.22014) Full Text: DOI
Shtern, A. I. Continuity conditions for finite-dimensional locally bounded representations of connected locally compact groups. (English) Zbl 1401.22012 Russ. J. Math. Phys. 25, No. 3, 345-382 (2018). Reviewer: Vladimir M. Manuilov (Moskva) MSC: 22E45 22D12 22B05 PDFBibTeX XMLCite \textit{A. I. Shtern}, Russ. J. Math. Phys. 25, No. 3, 345--382 (2018; Zbl 1401.22012) Full Text: DOI
Shtern, A. I. Countably solvable connected pro-Lie groups are \(u\)-amenable. (English) Zbl 1391.22007 Russ. J. Math. Phys. 25, No. 1, 113-115 (2018). MSC: 22E25 20F10 43A07 PDFBibTeX XMLCite \textit{A. I. Shtern}, Russ. J. Math. Phys. 25, No. 1, 113--115 (2018; Zbl 1391.22007) Full Text: DOI
Shtern, A. I. Approximate automorphisms of solvable linear connected Lie groups. (English) Zbl 1378.22003 Proc. Jangjeon Math. Soc. 20, No. 3, 333-336 (2017). MSC: 22A99 22A25 22E25 PDFBibTeX XMLCite \textit{A. I. Shtern}, Proc. Jangjeon Math. Soc. 20, No. 3, 333--336 (2017; Zbl 1378.22003)
Shtern, A. I. Some almost connected locally compact groups whose group topology is determined by the bounded structure. (English) Zbl 1371.22010 Adv. Stud. Contemp. Math., Kyungshang 27, No. 2, 299-302 (2017). MSC: 22D12 22E15 PDFBibTeX XMLCite \textit{A. I. Shtern}, Adv. Stud. Contemp. Math., Kyungshang 27, No. 2, 299--302 (2017; Zbl 1371.22010)
Shtern, A. I. Absence of two Paley-Wiener properties for semisimple Lie groups of real rank one. (English) Zbl 1348.22020 Russ. J. Math. Phys. 23, No. 2, 281-282 (2016). MSC: 22E46 43A80 22E30 PDFBibTeX XMLCite \textit{A. I. Shtern}, Russ. J. Math. Phys. 23, No. 2, 281--282 (2016; Zbl 1348.22020) Full Text: DOI
Shtern, A. I. Restriction of Guichardet-Wigner pseudocharacters to subgroups. (English) Zbl 1344.22010 Adv. Stud. Contemp. Math., Kyungshang 26, No. 1, 221-226 (2016). MSC: 22E99 22D99 PDFBibTeX XMLCite \textit{A. I. Shtern}, Adv. Stud. Contemp. Math., Kyungshang 26, No. 1, 221--226 (2016; Zbl 1344.22010)
Shtern, A. I. Freudenthal-Weil theorem for pro-Lie groups. (English) Zbl 1342.22008 Russ. J. Math. Phys. 23, No. 1, 115-117 (2016). MSC: 22D05 22B05 22E15 PDFBibTeX XMLCite \textit{A. I. Shtern}, Russ. J. Math. Phys. 23, No. 1, 115--117 (2016; Zbl 1342.22008) Full Text: DOI
Shtern, A. I. A qualitative result concerning quasirepresentations of compact groups. (English) Zbl 1323.22010 Proc. Jangjeon Math. Soc. 18, No. 2, 139-143 (2015). Reviewer: Vladimir M. Manuilov (Moskva) MSC: 22E99 PDFBibTeX XMLCite \textit{A. I. Shtern}, Proc. Jangjeon Math. Soc. 18, No. 2, 139--143 (2015; Zbl 1323.22010)
Shtern, A. I. Finite-dimensional quasirepresentations are almost bounded. (English) Zbl 1317.22014 Proc. Jangjeon Math. Soc. 18, No. 1, 1-5 (2015). MSC: 22E99 PDFBibTeX XMLCite \textit{A. I. Shtern}, Proc. Jangjeon Math. Soc. 18, No. 1, 1--5 (2015; Zbl 1317.22014)
Shtern, A. I. Corrected automatic continuity conditions for finite-dimensional representations of connected Lie groups. (English) Zbl 1312.22007 Russ. J. Math. Phys. 21, No. 1, 133-134 (2014). MSC: 22E45 22D12 22E30 PDFBibTeX XMLCite \textit{A. I. Shtern}, Russ. J. Math. Phys. 21, No. 1, 133--134 (2014; Zbl 1312.22007) Full Text: DOI
Shtern, A. I. A spectral characterization of norm continuity of strongly continuous representations of connected Lie groups. (English) Zbl 1307.22006 Proc. Jangjeon Math. Soc. 17, No. 4, 527-530 (2014). MSC: 22E20 22E30 PDFBibTeX XMLCite \textit{A. I. Shtern}, Proc. Jangjeon Math. Soc. 17, No. 4, 527--530 (2014; Zbl 1307.22006)
Shtern, A. I. How to recover a continuous function on a Hermitian symmetric simple Lie group using finite-dimensional representations and pseudorepresentations. (English) Zbl 1276.22003 Russ. J. Math. Phys. 20, No. 1, 102-104 (2013). MSC: 22E46 PDFBibTeX XMLCite \textit{A. I. Shtern}, Russ. J. Math. Phys. 20, No. 1, 102--104 (2013; Zbl 1276.22003) Full Text: DOI
Shtern, A. I. The intersection of kernels of the finite-dimensional pure pseudorepresentations of connected semisimple Lie groups. (English) Zbl 1275.22012 Proc. Jangjeon Math. Soc. 16, No. 1, 15-20 (2013). MSC: 22E46 PDFBibTeX XMLCite \textit{A. I. Shtern}, Proc. Jangjeon Math. Soc. 16, No. 1, 15--20 (2013; Zbl 1275.22012)
Shtern, A. I. Groups without nontrivial pseudocharacters. (English) Zbl 1283.22009 Russ. J. Math. Phys. 19, No. 2, 256-259 (2012). MSC: 22E46 43A40 PDFBibTeX XMLCite \textit{A. I. Shtern}, Russ. J. Math. Phys. 19, No. 2, 256--259 (2012; Zbl 1283.22009) Full Text: DOI
Shtern, A. I. Continuity conditions for finite-dimensional representations of connected locally compact groups. (English) Zbl 1263.22006 Russ. J. Math. Phys. 19, No. 4, 499-501 (2012). Reviewer: Pierre Clare (University Park) MSC: 22D12 22D05 22E15 PDFBibTeX XMLCite \textit{A. I. Shtern}, Russ. J. Math. Phys. 19, No. 4, 499--501 (2012; Zbl 1263.22006) Full Text: DOI
Shtern, Alexander I. Bounded structure and continuity for homomorphisms of perfect connected locally compact groups. (English) Zbl 1259.22004 Proc. Jangjeon Math. Soc. 15, No. 3, 235-240 (2012). Reviewer: Pierre Clare (University Park) MSC: 22D12 22E15 PDFBibTeX XMLCite \textit{A. I. Shtern}, Proc. Jangjeon Math. Soc. 15, No. 3, 235--240 (2012; Zbl 1259.22004)
Shtern, Alexander I. Commutativity conditions for DMAP solvable topological groups. (English) Zbl 1270.22002 Proc. Jangjeon Math. Soc. 15, No. 2, 109-113 (2012). Reviewer: Sobhakar Ganguly (Kolkata) MSC: 22D12 22E15 22D99 PDFBibTeX XMLCite \textit{A. I. Shtern}, Proc. Jangjeon Math. Soc. 15, No. 2, 109--113 (2012; Zbl 1270.22002)
Shtern, Alexander I. \(\mathrm{SL}(2,\mathbb Q_p), p\neq 2\), has no nontrivial continuous finite-dimensional pseudorepresentations. (English) Zbl 1251.22011 Adv. Stud. Contemp. Math., Kyungshang 22, No. 2, 209-214 (2012). Reviewer: Do Ngoc Diep (Hanoi) MSC: 22E46 22E99 PDFBibTeX XMLCite \textit{A. I. Shtern}, Adv. Stud. Contemp. Math., Kyungshang 22, No. 2, 209--214 (2012; Zbl 1251.22011)
Stern, A. Properties of Snyder space. (English) Zbl 1253.81082 Int. J. Geom. Methods Mod. Phys. 9, No. 2, Paper No. 16, 7 p. (2012). MSC: 81R60 81R20 81R05 22D10 22E70 PDFBibTeX XMLCite \textit{A. Stern}, Int. J. Geom. Methods Mod. Phys. 9, No. 2, Paper No. 16, 7 p. (2012; Zbl 1253.81082) Full Text: DOI
Lu, Lei; Stern, A. Snyder space revisited. (English) Zbl 1229.81152 Nucl. Phys., B 854, No. 3, 894-912 (2012). MSC: 81R60 81S30 81R05 22E70 PDFBibTeX XMLCite \textit{L. Lu} and \textit{A. Stern}, Nucl. Phys., B 854, No. 3, 894--912 (2012; Zbl 1229.81152) Full Text: DOI arXiv
Shtern, A. I. A very strong difference property for semisimple compact connected Lie groups. (English) Zbl 1251.22008 Russ. J. Math. Phys. 18, No. 2, 211-215 (2011). MSC: 22E30 22E46 PDFBibTeX XMLCite \textit{A. I. Shtern}, Russ. J. Math. Phys. 18, No. 2, 211--215 (2011; Zbl 1251.22008) Full Text: DOI
Shtern, A. I. Alternative proof of the Hochschild triviality theorem for a connected locally compact group. (English) Zbl 1252.22004 Russ. J. Math. Phys. 18, No. 1, 102-106 (2011). Reviewer: Vladimir V. Peller (East Lansing) MSC: 22D12 22E46 PDFBibTeX XMLCite \textit{A. I. Shtern}, Russ. J. Math. Phys. 18, No. 1, 102--106 (2011; Zbl 1252.22004) Full Text: DOI
Shtern, A. I. Connected locally compact groups: the Hochschild kernel and faithfulness of locally bounded finite-dimensional representations. (English. Russian original) Zbl 1242.22010 Trans. Mosc. Math. Soc. 2011, 17 p. (2011); translation from Tr. Mosk. Mat. O.-va 2011, No. 1, 79-95 (2011). Reviewer: Sergei Platonov (Petrozavodsk) MSC: 22E15 22C05 PDFBibTeX XMLCite \textit{A. I. Shtern}, Trans. Mosc. Math. Soc. 2011, 17 p. (2011; Zbl 1242.22010); translation from Tr. Mosk. Mat. O.-va 2011, No. 1, 79--95 (2011) Full Text: DOI
Shtern, A. I. Rigidity of the topology on the linear perfect connected Lie groups. (English) Zbl 1232.22004 Proc. Jangjeon Math. Soc. 14, No. 4, 395-398 (2011). MSC: 22D12 22E15 PDFBibTeX XMLCite \textit{A. I. Shtern}, Proc. Jangjeon Math. Soc. 14, No. 4, 395--398 (2011; Zbl 1232.22004)
Shtern, A. I. A formula for the continuous pseudocharacters on connected locally compact groups. (English) Zbl 1232.22005 Adv. Stud. Contemp. Math., Kyungshang 21, No. 4, 361-365 (2011). MSC: 22D99 22E15 PDFBibTeX XMLCite \textit{A. I. Shtern}, Adv. Stud. Contemp. Math., Kyungshang 21, No. 4, 361--365 (2011; Zbl 1232.22005)
Shtern, Alexander I. Hochschild kernel for locally bounded finite-dimensional representations of a connected Lie group. (English) Zbl 1228.22007 Appl. Math. Comput. 218, No. 3, 1063-1066 (2011). MSC: 22E15 PDFBibTeX XMLCite \textit{A. I. Shtern}, Appl. Math. Comput. 218, No. 3, 1063--1066 (2011; Zbl 1228.22007) Full Text: DOI
Shtern, Alexander I. Irreducibly representable Lie groups. (English) Zbl 1241.22005 Adv. Stud. Contemp. Math., Kyungshang 21, No. 2, 125-131 (2011). Reviewer: Sobhakar Ganguly (Kolkata) MSC: 22D12 22E15 PDFBibTeX XMLCite \textit{A. I. Shtern}, Adv. Stud. Contemp. Math., Kyungshang 21, No. 2, 125--131 (2011; Zbl 1241.22005)
Shtern, A. I. Connected Lie groups with many locally bounded finite-dimensional representations are linear. (English) Zbl 1228.22005 Proc. Jangjeon Math. Soc. 14, No. 2, 183-188 (2011). MSC: 22D12 22E15 PDFBibTeX XMLCite \textit{A. I. Shtern}, Proc. Jangjeon Math. Soc. 14, No. 2, 183--188 (2011; Zbl 1228.22005)
Shtern, Alexander I. Connected locally compact groups having sufficiently many finite-dimensional linear representations. (English) Zbl 1227.22006 Adv. Stud. Contemp. Math., Kyungshang 21, No. 1, 41-46 (2011). Reviewer: Sergei Platonov (Petrozavodsk) MSC: 22D12 22E15 PDFBibTeX XMLCite \textit{A. I. Shtern}, Adv. Stud. Contemp. Math., Kyungshang 21, No. 1, 41--46 (2011; Zbl 1227.22006)
Shtern, A. I. Commutativity conditions for maximally almost periodic solvable topological groups. (English) Zbl 1219.22006 Proc. Jangjeon Math. Soc. 14, No. 1, 1-6 (2011). Reviewer: Vladimir M. Manuilov (Moskva) MSC: 22D12 22E15 22D99 PDFBibTeX XMLCite \textit{A. I. Shtern}, Proc. Jangjeon Math. Soc. 14, No. 1, 1--6 (2011; Zbl 1219.22006)
Shtern, A. I. Von Neumann kernels of connected Lie groups, revisited and refined. (English) Zbl 1269.22003 Russ. J. Math. Phys. 17, No. 2, 262-266 (2010). Reviewer: Rainer Felix (Eichstätt) MSC: 22D10 22E15 22E40 43A60 PDFBibTeX XMLCite \textit{A. I. Shtern}, Russ. J. Math. Phys. 17, No. 2, 262--266 (2010; Zbl 1269.22003) Full Text: DOI
Shtern, A. I. Remarks on finite-dimensional locally bounded finally precontinuous quasirepresentations of locally compact groups. (English) Zbl 1315.22007 Adv. Stud. Contemp. Math., Kyungshang 20, No. 4, 469-480 (2010). MSC: 22D12 22E15 PDFBibTeX XMLCite \textit{A. I. Shtern}, Adv. Stud. Contemp. Math., Kyungshang 20, No. 4, 469--480 (2010; Zbl 1315.22007)
Shtern, Alexander I. Hochschild kernel for locally bounded finite-dimensional representations of a connected Lie group with simple Levi subgroup. (English) Zbl 1231.22006 Proc. Jangjeon Math. Soc. 13, No. 3, 289-294 (2010). Reviewer: Vladimir M. Manuilov (Moskva) MSC: 22D12 22E15 PDFBibTeX XMLCite \textit{A. I. Shtern}, Proc. Jangjeon Math. Soc. 13, No. 3, 289--294 (2010; Zbl 1231.22006)
Shtern, Alexander I. Hochschild kernel for locally bounded finite-dimensional representations of a connected reductive Lie group. (English) Zbl 1222.22003 Proc. Jangjeon Math. Soc. 13, No. 2, 127-132 (2010). Reviewer: Sergei Platonov (Petrozavodsk) MSC: 22D05 22E15 PDFBibTeX XMLCite \textit{A. I. Shtern}, Proc. Jangjeon Math. Soc. 13, No. 2, 127--132 (2010; Zbl 1222.22003)
Shtern, Alexander I. Von Neumann kernel of a connected locally compact group, revisited. (English) Zbl 1242.22011 Adv. Stud. Contemp. Math., Kyungshang 20, No. 3, 313-318 (2010). Reviewer: Samir Kabbaj (Kénitra) MSC: 22E15 22C05 PDFBibTeX XMLCite \textit{A. I. Shtern}, Adv. Stud. Contemp. Math., Kyungshang 20, No. 3, 313--318 (2010; Zbl 1242.22011)
Shtern, Alexander I. Applications of automatic continuity results to analogs of the Freudenthal-Weil and Hochschild theorems. (English) Zbl 1198.22005 Adv. Stud. Contemp. Math., Kyungshang 20, No. 2, 203-212 (2010). Reviewer: Sergei Platonov (Petrozavodsk) MSC: 22E15 22C05 PDFBibTeX XMLCite \textit{A. I. Shtern}, Adv. Stud. Contemp. Math., Kyungshang 20, No. 2, 203--212 (2010; Zbl 1198.22005)
Shtern, Alexander I. Homomorphic images of connected Lie groups in compact groups. (English) Zbl 1193.22008 Adv. Stud. Contemp. Math., Kyungshang 20, No. 1, 1-6 (2010). MSC: 22E15 22C05 PDFBibTeX XMLCite \textit{A. I. Shtern}, Adv. Stud. Contemp. Math., Kyungshang 20, No. 1, 1--6 (2010; Zbl 1193.22008)
Shtern, Alexander I. Freudenthal-Weil theorem for arbitrary embeddings of connected Lie groups in compact groups. (English) Zbl 1194.22007 Adv. Stud. Contemp. Math., Kyungshang 19, No. 2, 157-164 (2009). Reviewer: Vladimir M. Manuilov (Moskva) MSC: 22E15 22C05 PDFBibTeX XMLCite \textit{A. I. Shtern}, Adv. Stud. Contemp. Math., Kyungshang 19, No. 2, 157--164 (2009; Zbl 1194.22007)
Shtern, A. I. Finite-dimensional quasirepresentations of connected Lie groups and Mishchenko’s conjecture. (English. Russian original) Zbl 1187.22014 J. Math. Sci., New York 159, No. 5, 653-751 (2009); translation from Fundam. Prikl. Mat. 13, No. 7, 85-225 (2007). Reviewer: Vladimir M. Manuilov (Moskva) MSC: 22E46 47D03 PDFBibTeX XMLCite \textit{A. I. Shtern}, J. Math. Sci., New York 159, No. 5, 653--751 (2009; Zbl 1187.22014); translation from Fundam. Prikl. Mat. 13, No. 7, 85--225 (2007) Full Text: DOI
Shtern, A. I. Connected Lie groups having faithful locally bounded (not necessarily continuous) finite-dimensional representations. (English) Zbl 1186.22016 Russ. J. Math. Phys. 16, No. 4, 566-567 (2009). Reviewer: Madathum K. Viswanath (Chennai) MSC: 22E45 PDFBibTeX XMLCite \textit{A. I. Shtern}, Russ. J. Math. Phys. 16, No. 4, 566--567 (2009; Zbl 1186.22016) Full Text: DOI
Shtern, A. I. Continuity conditions for finite-dimensional locally bounded finally precontinuous quasirepresentations of locally compact groups. (English) Zbl 1196.22007 Adv. Stud. Contemp. Math., Kyungshang 18, No. 2, 191-200 (2009). Reviewer: Do Ngoc Diep (Hanoi) MSC: 22E45 22D12 PDFBibTeX XMLCite \textit{A. I. Shtern}, Adv. Stud. Contemp. Math., Kyungshang 18, No. 2, 191--200 (2009; Zbl 1196.22007)
Shtern, Alexander I. Restrictions of locally bounded finite-dimensional pure pseudorepresentations of Hermitian symmetric semisimple Lie groups to nonamenable subgroups. (English) Zbl 1162.22015 Adv. Stud. Contemp. Math., Kyungshang 17, No. 2, 109-118 (2008). Reviewer: Sergei Platonov (Petrozavodsk) MSC: 22E46 22E99 PDFBibTeX XMLCite \textit{A. I. Shtern}, Adv. Stud. Contemp. Math., Kyungshang 17, No. 2, 109--118 (2008; Zbl 1162.22015)
Shtern, A. I. A version of van der Waerden’s theorem and a proof of Mishchenko’s conjecture on homomorphisms of locally compact groups. (English. Russian original) Zbl 1158.22002 Izv. Math. 72, No. 1, 169-205 (2008); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 72, No. 1, 183-224 (2008). Reviewer: Jorge Galindo (Castellón) MSC: 22D12 22E30 22E45 PDFBibTeX XMLCite \textit{A. I. Shtern}, Izv. Math. 72, No. 1, 169--205 (2008; Zbl 1158.22002); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 72, No. 1, 183--224 (2008) Full Text: DOI
Shtern, A. I. Quasisymmetry. II. (English) Zbl 1176.22004 Russ. J. Math. Phys. 14, No. 3, 332-356 (2007). MSC: 22D12 22E15 47D03 PDFBibTeX XMLCite \textit{A. I. Shtern}, Russ. J. Math. Phys. 14, No. 3, 332--356 (2007; Zbl 1176.22004) Full Text: DOI
Shtern, A. I. Kazhdan-Mil’man problem for semisimple compact Lie groups. (English. Russian original) Zbl 1179.22005 Russ. Math. Surv. 62, No. 1, 113-174 (2007); translation from Usp. Mat. Nauk 62, No. 1, 123-190 (2007). Reviewer: Vladimir M. Manuilov (Moskva) MSC: 22D05 22D10 22D12 22D15 22D20 22D25 22E41 22E46 43A65 46H15 46H35 PDFBibTeX XMLCite \textit{A. I. Shtern}, Russ. Math. Surv. 62, No. 1, 113--174 (2007; Zbl 1179.22005); translation from Usp. Mat. Nauk 62, No. 1, 123--190 (2007) Full Text: DOI
Shtern, Alexander I. Discontinuity groups of relatively compact homomorphisms of locally compact groups and their applications. (English) Zbl 1140.22004 Adv. Stud. Contemp. Math., Kyungshang 15, No. 2, 139-152 (2007). Reviewer: Sergei Platonov (Petrozavodsk) MSC: 22D12 22E15 81R05 PDFBibTeX XMLCite \textit{A. I. Shtern}, Adv. Stud. Contemp. Math., Kyungshang 15, No. 2, 139--152 (2007; Zbl 1140.22004)
Shtern, Alexander I. Analog of van der Waerden’s continuity theorem and the validity of Mishchenko’s conjecture for relatively compact homomorphisms of arbitrary locally compact groups. (English) Zbl 1146.22011 Adv. Stud. Contemp. Math., Kyungshang 14, No. 1, 1-20 (2007). Reviewer: Sergei Platonov (Petrozavodsk) MSC: 22D12 22E15 81R05 PDFBibTeX XMLCite \textit{A. I. Shtern}, Adv. Stud. Contemp. Math., Kyungshang 14, No. 1, 1--20 (2007; Zbl 1146.22011)
Shtern, A. I. Stability of the van der Waerden theorem on the continuity of homomorphisms of compact semisimple Lie groups. (English) Zbl 1122.22001 Appl. Math. Comput. 187, No. 1, 455-465 (2007). Reviewer: Vladimir V. Peller (East Lansing) MSC: 22E46 PDFBibTeX XMLCite \textit{A. I. Shtern}, Appl. Math. Comput. 187, No. 1, 455--465 (2007; Zbl 1122.22001) Full Text: DOI
Shtern, A. I. Van der Waerden’s continuity theorem for the Poincaré group and for some other group extensions. (English) Zbl 1151.22015 Adv. Theor. Appl. Math. 1, No. 1, 79-90 (2006). Reviewer: Mladen Božičević (Varaždin) MSC: 22E45 22E15 22E43 PDFBibTeX XMLCite \textit{A. I. Shtern}, Adv. Theor. Appl. Math. 1, No. 1, 79--90 (2006; Zbl 1151.22015)
Shtern, A. I. Automatic continuity of pseudocharacters on semisimple Lie groups. (English. Russian original) Zbl 1116.22002 Math. Notes 80, No. 3, 435-441 (2006); translation from Mat. Zametki 80, No. 3, 456-464 (2006). Reviewer: Vasile Oproiu (Iaşi) MSC: 22E30 43A40 PDFBibTeX XMLCite \textit{A. I. Shtern}, Math. Notes 80, No. 3, 435--441 (2006; Zbl 1116.22002); translation from Mat. Zametki 80, No. 3, 456--464 (2006) Full Text: DOI
Shtern, A. I. Van der Waerden continuity theorem for semisimple Lie groups. (English) Zbl 1128.22006 Russ. J. Math. Phys. 13, No. 2, 210-223 (2006). Reviewer: Rainer Löwen (Braunschweig) MSC: 22E46 PDFBibTeX XMLCite \textit{A. I. Shtern}, Russ. J. Math. Phys. 13, No. 2, 210--223 (2006; Zbl 1128.22006) Full Text: DOI
Shtern, Alexander I. Van der Waerden’s continuity theorem for the commutator subgroups of connected Lie groups and Mishchenko’s conjecture. (English) Zbl 1111.22007 Adv. Stud. Contemp. Math., Kyungshang 13, No. 2, 143-158 (2006). Reviewer: Sergei Platonov (Petrozavodsk) MSC: 22D12 22E15 81R05 PDFBibTeX XMLCite \textit{A. I. Shtern}, Adv. Stud. Contemp. Math., Kyungshang 13, No. 2, 143--158 (2006; Zbl 1111.22007)
Shtern, A. I. Automatic continuity of pseudocharacters on Hermitian symmetric semisimple Lie groups and some applications. (English) Zbl 1084.22012 Adv. Stud. Contemp. Math., Kyungshang 12, No. 1, 1-8 (2006). Reviewer: Sergei Platonov (Petrozavodsk) MSC: 22E46 43A40 PDFBibTeX XMLCite \textit{A. I. Shtern}, Adv. Stud. Contemp. Math., Kyungshang 12, No. 1, 1--8 (2006; Zbl 1084.22012)
Shtern, A. I. Projective representations and pure pseudorepresentations of Hermitian symmetric simple Lie groups. (English. Russian original) Zbl 1102.22011 Math. Notes 78, No. 1, 128-133 (2005); translation from Mat. Zametki 78, No. 1, 140-146 (2005). Reviewer: Rainer Löwen (Braunschweig) MSC: 22E46 PDFBibTeX XMLCite \textit{A. I. Shtern}, Math. Notes 78, No. 1, 128--133 (2005; Zbl 1102.22011); translation from Mat. Zametki 78, No. 1, 140--146 (2005) Full Text: DOI
Shtern, A. I. Deformations of irreducible unitary representations of the discrete series of Hermitian-symmetric simple Lie groups in the class of pure pseudo-representations. (English) Zbl 1071.22015 J. Math. Sci., New York 123, No. 4, 4324-4339 (2004); translation from Sovrem. Mat. Prilozh. 1, 161-176 (2003). Reviewer: Sergei Platonov (Petrozavodsk) MSC: 22E46 43A65 PDFBibTeX XMLCite \textit{A. I. Shtern}, J. Math. Sci., New York 123, No. 4, 4324--4339 (2004; Zbl 1071.22015); translation from Sovrem. Mat. Prilozh. 1, 161--176 (2003) Full Text: DOI
Shtern, A. I. Projective irreducible unitary representations of Hermitian symmetric simple Lie groups are generated by pure pseudorepresentations. (English) Zbl 1060.22013 Adv. Stud. Contemp. Math., Kyungshang 9, No. 1, 1-6 (2004). Reviewer: Ye Jiachen (Shanghai) MSC: 22E46 22E99 PDFBibTeX XMLCite \textit{A. I. Shtern}, Adv. Stud. Contemp. Math., Kyungshang 9, No. 1, 1--6 (2004; Zbl 1060.22013)
Shtern, A. I. Deformation of irreducible unitary representations of discrete series of Hermitian symmetric simple Lie groups in the class of pure pseudorepresentations. (English. Russian original) Zbl 1052.22010 Math. Notes 73, No. 3, 452-454 (2003); translation from Mat. Zametki 73, No. 3, 478-480 (2003). Reviewer: Gheorghe Zet (Iaşi) MSC: 22E46 57S20 PDFBibTeX XMLCite \textit{A. I. Shtern}, Math. Notes 73, No. 3, 452--454 (2003; Zbl 1052.22010); translation from Mat. Zametki 73, No. 3, 478--480 (2003) Full Text: DOI
Shtern, A. I. Bounded continuous real 2-cocycles on simply connected simple Lie groups and their applications. (English) Zbl 1082.22500 Russ. J. Math. Phys. 8, No. 1, 122-133 (2001). MSC: 22E46 PDFBibTeX XMLCite \textit{A. I. Shtern}, Russ. J. Math. Phys. 8, No. 1, 122--133 (2001; Zbl 1082.22500) Full Text: DOI
Shtern, A. I. Structure properties and real continuous bounded 2-cohomology of locally compact groups. (English. Russian original) Zbl 0994.22010 Funct. Anal. Appl. 35, No. 4, 294-304 (2001); translation from Funkts. Anal. Prilozh. 35, No. 4, 67-80 (2001). Reviewer: M.Stroppel (Stuttgart) MSC: 22E41 22D05 PDFBibTeX XMLCite \textit{A. I. Shtern}, Funct. Anal. Appl. 35, No. 4, 294--304 (2001; Zbl 0994.22010); translation from Funkts. Anal. Prilozh. 35, No. 4, 67--80 (2001) Full Text: DOI
Shtern, Alexander I. A criterion for the second real continuous bounded cohomology of a locally compact group to be finite-dimensional. (English) Zbl 0997.22005 Acta Appl. Math. 68, No. 1-3, 105-121 (2001). Reviewer: Do Ngoc Diep (Hanoi) MSC: 22D05 22D12 22E15 22E30 57M07 PDFBibTeX XMLCite \textit{A. I. Shtern}, Acta Appl. Math. 68, No. 1--3, 105--121 (2001; Zbl 0997.22005) Full Text: DOI
Marmo, G.; Simoni, A.; Stern, A. Poisson Lie group symmetries for the isotropic rotator. (English) Zbl 1044.81606 Int. J. Mod. Phys. A 10, No. 1, 99-114 (1995). MSC: 81R12 22E70 PDFBibTeX XMLCite \textit{G. Marmo} et al., Int. J. Mod. Phys. A 10, No. 1, 99--114 (1995; Zbl 1044.81606) Full Text: DOI arXiv
Shtern, Alexander I. Quasisymmetry. I. (English) Zbl 0907.22007 Russ. J. Math. Phys. 2, No. 3, 353-382 (1994). Reviewer: G.Loupias (Montpellier) MSC: 22A25 22E15 PDFBibTeX XMLCite \textit{A. I. Shtern}, Russ. J. Math. Phys. 2, No. 3, 353--382 (1994; Zbl 0907.22007)
Shtern, A. I. Quasirepresentations and pseudorepresentations. (English. Russian original) Zbl 0737.22003 Funct. Anal. Appl. 25, No. 2, 140-143 (1991); translation from Funkts. Anal. Prilozh. 25, No. 2, 70-73 (1991). Reviewer: A.Verona (Los Angeles) MSC: 22A20 22E65 PDFBibTeX XMLCite \textit{A. I. Shtern}, Funct. Anal. Appl. 25, No. 2, 140--143 (1991; Zbl 0737.22003); translation from Funkts. Anal. Prilozh. 25, No. 2, 70--73 (1991) Full Text: DOI
Zhelobenko, D. P.; Shtern, A. I. Representations of Lie groups. (Predstavleniya grupp Li). (Russian) Zbl 0521.22006 Moskva: “Nauka”. 360 p. R. 1.60 (1983). MSC: 22E15 22-02 22E27 22E45 PDFBibTeX XML
Naĭmark, M. A.; Stern, A. I. Theory of group representations. Transl. from the Russian by Elizabeth Hewitt, ed. by Edwin Hewitt. (English) Zbl 0484.22018 Grundlehren der Mathematischen Wissenschaften, 246. New York -Heidelberg - Berlin: Springer-Verlag. IX, 568 p., 3 figs. DM 140.00; $ 62.20 (1982). MSC: 22E45 20G05 20C15 22-01 20-01 43-01 17-01 PDFBibTeX XML
Shtern, A. I. Restrictions and tensor products of certain irreducible unitary representations of a pseudo-unitary group of \((3\times 3)\)-matrices. (English. Russian original) Zbl 0519.22010 Russ. Math. Surv. 36, No. 5, 179-180 (1981); translation from Usp. Mat. Nauk 36, No. 5(221), 207-208 (1981). Reviewer: H. Kraljevic MSC: 22E46 PDFBibTeX XMLCite \textit{A. I. Shtern}, Russ. Math. Surv. 36, No. 5, 179--180 (1981; Zbl 0519.22010); translation from Usp. Mat. Nauk 36, No. 5(221), 207--208 (1981) Full Text: DOI
Najmark, M. A.; Shtern, A. I. Théorie des représentations des groupes. Traduit du russe par A. Sossinski. (French) Zbl 0425.22001 Moscou: Editions Mir. 608 p. R. 4.22 (1979). MSC: 22-01 20-01 22Exx 22Dxx PDFBibTeX XML
Shtern, A. I. Completely irreducible representations of \(\mathrm{SU}(2,1)\). (English. Russian original) Zbl 0221.22013 Sov. Math., Dokl. 9, 560-564 (1968); translation from Dokl. Akad. Nauk SSSR 179, 1289-1292 (1968). Reviewer: Germán Ancochea (Madrid) MSC: 22E46 20G05 PDFBibTeX XMLCite \textit{A. I. Shtern}, Sov. Math., Dokl. 9, 560--564 (1968; Zbl 0221.22013); translation from Dokl. Akad. Nauk SSSR 179, 1289--1292 (1968)