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The local structure of characters. (English) Zbl 0436.22011


MSC:

22E46 Semisimple Lie groups and their representations
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References:

[1] Borho, W.; Kraft, H., Über die Gelfand-Krillov-Dimension, Math. Ann., 220, 1-24 (1976) · Zbl 0306.17005
[2] Harish-Chandra, The characters of reductive \(p\)-adic groups, (Bass, Hyman; etal., Contributions to Algebra (1977), Academic Press: Academic Press New York), 175-182 · Zbl 0365.22016
[3] Harish-Chandra, Differential operators on a semisimple Lie algebra, Amer. J. Math., 79, 87-120 (1957) · Zbl 0072.01901
[4] Harish-Chandra, Discrete series for semisimple Lie groups, II, Acta Math., 116, 1-111 (1966) · Zbl 0199.20102
[5] Harish-Chandra, Invariant eigendistributions on a semisimple Lie algebra, Inst. Hautes Études Sci. Publ. Math., 27, 5-54 (1965) · Zbl 0199.46401
[6] Harish-Chandra, Invariant eigendistributions on a semisimple Lie group, Trans. Amer. Math. Soc., 119, 457-508 (1965) · Zbl 0199.46402
[7] Hecht, H.; Schmid, W., A proof of Blattner’s conjecture, Invent. Math., 31, 129-154 (1975) · Zbl 0319.22012
[8] Kashiwara, M.; Vergne, M., \(k\)-types and the singular spectrum (1978), preprint · Zbl 0375.22009
[9] Rossman, W., Kirillov’s character formula for reductive Lie groups, Invent. Math., 48, 207-220 (1978) · Zbl 0372.22011
[10] Speh, B.; Vogan, D., Reducibility of generalized principal series representations (1978), preprint
[11] Vogan, D., Gelfand-Kirillov dimension for Harish-Chandra modules, Invent. Math., 48, 75-98 (1978) · Zbl 0389.17002
[12] Warner, G., Harmonic Analysis on Semisimple Lie Groups (1972), Springer-Verlag: Springer-Verlag New York/Heidelberg/Berlin
[13] Wolf, J., Unitary representations on partially holomorphic cohomology spaces, Mem. Amer. Math. Soc., 138 (1974)
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