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The Method of Orbits for Real Lie Groups
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Abstract
In this paper, we outline a development of the theory of orbit method for representations of real Lie guoups. In particular, we study the orbit method for representations of the Heisenberg group and the Jacobi group.
관련 논문AI추천
The harmonic distributions on Lie groupBoo-Yong Choi대한수학회 · 대한수학회논문집2004 · 제19권 제4호Classification of Solvable Lie groups whose non-trivial coadjoint orbits are of Codimension $1$Duong Quang Hoa, Hieu Van Ha, Vu Anh Le대한수학회 · 대한수학회논문집2022 · 제37권 제4호IRREDUCIBLY REPRESENTABLE LIE GROUPSA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제2호Classification of solvable lie algebras whose non-trivial coadjoint orbits of simply connected lie groups are all of codimension 2Hieu Van Ha, Hoa Duong Quang, Tu Thi Cam Nguyen, Vu Anh Le대한수학회 · 대한수학회지2023 · 제60권 제4호On the group $SL(2,{\Bbb R})\ltimes {\Bbb R}^{(m,2)}$양재현대한수학회 · 대한수학회지2003 · 제40권 제5호On Constructing Representations of the symmetric GroupsVahid Dabbaghian-Abdoly대한수학회 · 대한수학회보2006 · 제43권 제1호
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