논문KCI 등재
RESTRICTION OF A GUICHARDET–WIGNER PSEUDOCHARACTER ON A SIMPLY CONNECTED SIMPLE HERMITIAN SYMMETRIC LIE GROUP TO A SIMPLY CONNECTED SIMPLE HERMITIAN SYMMETRIC SUBGROUP
2
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
A simple example shows that the restriction of a Guichardet– Wigner pseudocharacter on a simply connected simple Hermitian symmetric Lie group to a simply connected simple Hermitian symmetric subgroup can be a Guichardet–Wigner pseudocharacter on the subgroup. This poses the natural problem of whether or not such a restriction can give a zero real character.
Abstract
A simple example shows that the restriction of a Guichardet– Wigner pseudocharacter on a simply connected simple Hermitian symmetric Lie group to a simply connected simple Hermitian symmetric subgroup can be a Guichardet–Wigner pseudocharacter on the subgroup. This poses the natural problem of whether or not such a restriction can give a zero real character.
참고문헌 (5)
- A. I. Shtern, "Finite-dimensional quasi-representations of connected Lie groups and Mishchenko’s conjecture", J. Math. Sci, 159(5), pp.653~751 (2009)
- A. I. Shtern, "REMARKS ON FINITE-DIMENSIONAL LOCALLY BOUNDED FINALLY PRECONTINUOUS QUASIREPRESENTATIONS OF LOCALLY COMPACT GROUPS", Advanced Studies in Contemporary Mathematics, 20(4), pp.469~480 (2010), 장전수학회
- 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 connected locally compact groups", Mat. Sb., 208(10), pp.149~170 (2017)
- A. Guichardet, "Sur la cohomologie r´eelle des groupes de Lie simples r´eels", Ann. Sci. ´Ecole Norm. Sup. (4), 11(2), pp.277~292 (1978)
관련 논문AI추천
RESTRICTIONS 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 제1호GROUP OF ONE-DIMENSIONAL BOUNDED PURE PSEUDOREPRESENTATIONS OF A SIMPLE HERMITIAN SYMMETRIC LIE GROUPA.I. SHTERN장전수학회 · Advanced Studies in Contemporary Mathematics2022 · 제32권 제2호RESTRICTION 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 제1호GUICHARDET–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 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 제3호
이 간행물의 다른 논문 (12건)
A NOTE ON SOME REPRESENTATIONS OF APPELL AND HORN FUNCTIONA. BELAFHAL, E. M. EL HALBA, T. USMANpp. 5-16CERTAIN SEQUENCE SPACES USING Δ-OPERATORANTESAR ALDAWOUD, ABDUL HAMID GANIEpp. 17-27Status Sum Eigenvalues and Energy of GraphsHarishchandra S. Ramane, Ismail Naci CANGUL, Saroja Y. Talwarpp. 29-47GENERALIZED NET REPRESENTATIONS OF CONTROL STRUCTURES IN SERVICE SYSTEMS THEORYSTOYAN PORYAZOV, EMILIYA SARANOVA, VELIN ANDONOVpp. 49-60Hypergeometric functions and associated families of meromorphically starlike and convex functions조낙은, 김지아pp. 61-68