Abstract
In this chapter, we discuss a translation functor for the group G = O(n + 1, 1), which is not in the Harish-Chandra class if n is even, in the sense that \(\operatorname {Ad}(G)\) is not contained in the group \(\operatorname {Int}({\mathfrak {g}}_{\mathbb {C}})\) of inner automorphisms.
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Kobayashi, T., Speh, B. (2018). Appendix III: A Translation Functor for G = O(n + 1, 1). In: Symmetry Breaking for Representations of Rank One Orthogonal Groups II. Lecture Notes in Mathematics, vol 2234. Springer, Singapore. https://doi.org/10.1007/978-981-13-2901-2_16
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DOI: https://doi.org/10.1007/978-981-13-2901-2_16
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