논문KCI 등재
GUICHARDET–WIGNER PSEUDOCHARACTER ON THE UNIVERSAL COVERING GROUP OF SL(2,R) HAS A NONTRIVIAL RESTRICTION TO THE PREIMAGE OF SL(2,Z)
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초록
We prove that the restriction of a Guichardet–Wigner pseudocharacter on the universal covering group G = SL(2,R) of SL(2,R) to the complete preimage H of SL(2, Z) in G is a nontrivial pseudocharacter of H.
Abstract
We prove that the restriction of a Guichardet–Wigner pseudocharacter on the universal covering group G = SL(2,R) of SL(2,R) to the complete preimage H of SL(2, Z) in G is a nontrivial pseudocharacter of H.
참고문헌 (7)
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- 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, "Locally Bounded Finally Precontinuous Finite-Dimensional Quasirepresentations of Locally Compact Groups", Sb. Math, 208(10), pp.1557~1576 (2017)
- A. I. Shtern, "Finite-Dimensional Quasi-Representations of Connected Lie Groups and Mishchenko’s Conjecture", J. Math. Sci, 159, pp.653~751 (2009)
- P. J. Sally, Jr., "Analytic Continuation of the Irreducible Unitary Representations of the Universal Covering Group of SL(2;R)", Mem. Amer. Math. Soc, (69) (1967), American Mathematical Society
- I. M. Gel’fand, "Representation Theory and Automorphic Functions" (1990), Academic Press, Inc
관련 논문AI추천
RESTRICTION OF THE GUICHARDET–WIGNER PSEUDOCHARACTER ON SL(2;R) TO A SUBGROUP COVERING SL(2; Z)A. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2018 · 제21권 제1호LEVEL 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 제3호RESTRICTION 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 제1호RESTRICTIONS OF PSEUDOCHARACTERS ON SIMPLE HERMITIAN SYMMETRIC CLASSICAL LIE GROUPS TO SIMPLE SUBGROUPSA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2024 · 제27권 제4호Restriction of Guichardet–Wigner pseudocharacters to subgroupsA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제1호Continuous one-dimensional pseudorepresentations of almost connected locally compact groupsA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제3호
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