EXTENSION OF PSEUDOCHARACTERS FROM NORMAL SUBGROUPS, III
1
조회
0
다운로드
2
인용
0
참고문헌
키워드
초록
Investigations concerning the extension of pseudocharacters on normal subgroups to pseudocharacters of enveloping groups are continued. The main result gives necessary and sufficient conditions for a given realvalued character f on the radical R of a given connected Lie group G (which need not be a semidirect product of R and some closed subgroup of G) to have an extension to a pseudocharacter on G.
Abstract
Investigations concerning the extension of pseudocharacters on normal subgroups to pseudocharacters of enveloping groups are continued. The main result gives necessary and sufficient conditions for a given realvalued character f on the radical R of a given connected Lie group G (which need not be a semidirect product of R and some closed subgroup of G) to have an extension to a pseudocharacter on G.
참고문헌 (10)
- A. I. Shtern, "Quasisymmetry. I", Russ. J. Math. Phys, 2(3), pp.353~382 (1994)
- A. I. Shtern, "Finite-dimensional quasirepresentations of connected Lie groups and Mishchenko’s conjecture", Fundam. Prikl. Mat, 13(7), pp.85~225 (2007)
- A. I. Shtern, "Quasisymmetry. I", Russ. J. Math. Phys, 2(3), pp.353~382 (1994)
- A. I. Shtern, "Quasisymmetry. II", Russ. J. Math. Phys, 14(3), pp.332~356 (2007)
- A. I. Shtern, "Extension of pseudocharacters from normal subgroups", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 18(4), pp.427~433 (2015), 장전수학회
- A. I. Shtern, "EXTENSION OF PSEUDOCHARACTERS FROM NORMAL SUBGROUPS, II", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 19(2), pp.213~218 (2016), 장전수학회
- K. Iwasawa, "On some types of topological groups", Ann. of Math, 50(3), pp.507~558 (1949)
- A. I. Shtern, "Continuity conditions for finite-dimensional locally bounded finally precontinuous quasirepresentations of locally compact groups", Advanced Studies in Contemporary Mathematics, 18(2), pp.191~200 (2009), 장전수학회
- A. I. Shtern, "Structure of finite-dimensional locally bounded finally precontinuous quasirepresentations of locally compact groups", Russ. J. Math. Phys, 16(1), pp.133~138 (2009)
- A. I. Shtern, "Corrected automatic continuity conditions for finite-dimensional representations of connected Lie groups", Russ. J. Math. Phys, 21(1), pp.133~134 (2014)