논문KCI 등재
RESTRICTIONS OF PSEUDOCHARACTERS ON SIMPLE HERMITIAN SYMMETRIC CLASSICAL LIE GROUPS TO SIMPLE SUBGROUPS
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초록
It is proved that the restrictions of the Guichardet–Wigner pseudocharacters on the simple Hermitian symmetric classical Lie groups to certain simple classical Hermitian symmetric Lie subgroups are nontrivial pseudocharacters.
Abstract
It is proved that the restrictions of the Guichardet–Wigner pseudocharacters on the simple Hermitian symmetric classical Lie groups to certain simple classical Hermitian symmetric Lie subgroups are nontrivial pseudocharacters.
참고문헌 (9)
- A. I. Shtern, "A version of van der Waerden’s theorem and a proof of Mishchenko’s conjecture on homomorphisms of locally compact groups", Izv. Math, 72(1), pp.169~205 (2008)
- A. I. Shtern, "Finite-dimensional quasirepresentations of connected Lie groups and Mishchenko’s conjecture", J. Math. Sci. (N. Y. ), 159(5), pp.653~751 (2009)
- A. I. Shtern, "Locally Bounded Finally Precontinuous Finite-Dimensional Quasirepresentations of Locally Compact Groups", Sb. Math, 208(10), pp.1557~1576 (2017)
- S. Helgason, "Differential Geometry and Symmetric Spaces" (1962), Academic Press
- A. I. Shtern, "Bounded continuous real 2-cocycles on simply connected simple Lie groups and their applications", Russ. J. Math. Phys, 8(1), pp.122~133 (2001)
- A. I. Shtern, "Remarks on pseudocharacters and the real continuous bounded cohomology of connected locally compact groups", Ann. Global Anal. Geom, 20(3), pp.199~221 (2001)
- A. I. Shtern, "Structural properties and bounded real continuous 2-cohomology of locally compact groups", Funct. Anal. Appl, 35(4), pp.294~304 (2001)
- A. Guichardet, "Sur la cohomologie r´eelle des groupes de Lie simples r´eels", Ann. Sci. Ecole Norm. Sup, 11(4), pp.277~292 (1978)
- Remarks on Pseudocharacters and the Real Continuous Bounded Cohomology of Connected Locally Compact Groups, "A. I. Shtern", ~, pp.Sfb 288 Preprint No. 289 (1997)
관련 논문AI추천
RESTRICTION OF A GUICHARDET–WIGNER PSEUDOCHARACTER ON A SIMPLY CONNECTED SIMPLE HERMITIAN SYMMETRIC LIE GROUP TO A SIMPLY CONNECTED SIMPLE HERMITIAN SYMMETRIC SUBGROUPA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2020 · 제30권 제1호Restriction of Guichardet–Wigner pseudocharacters to subgroupsA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제1호GROUP OF ONE-DIMENSIONAL BOUNDED PURE PSEUDOREPRESENTATIONS OF A SIMPLE HERMITIAN SYMMETRIC LIE GROUPA.I. SHTERN장전수학회 · Advanced Studies in Contemporary Mathematics2022 · 제32권 제2호Restrictions of locally bounded finite-dimensional pure pseudorepresentations of Hermitian symmetric semisimple Lie groups to nonamenable subgroupsA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2008 · 제17권 제2호LEVEL SETS OF THE GUICHARDET–WIGNER PSEUDOCHARACTER ON THE UNIVERSAL COVERING GROUP OF SU(1, 1)A. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2014 · 제17권 제3호GUICHARDET–WIGNER PSEUDOCHARACTER ON THE UNIVERSAL COVERING GROUP OF SL(2,R) HAS A NONTRIVIAL RESTRICTION TO THE PREIMAGE OF SL(2,Z)A. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2022 · 제25권 제1호
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