Non Spherical Principal Series Representations of a Semisimple Lie Group is popular PDF and ePub book, written by Alfred Magnus in 1979, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Non Spherical Principal Series Representations of a Semisimple Lie Group can be Read Online from any device for your convenience.
Non Spherical Principal Series Representations of a Semisimple Lie Group Book PDF Summary
Non-spherical principal series representations of a real semisimple Lie group are studied. These are representations, induced by a one-dimensional representation of a minimal parabolic subgroup, which have a one-dimensional subspace left stable by a maximal compact subgroup of the original group G. Necessary and sufficient conditions for such a representation to be irreducible, or to be cyclic, are found, in terms of parameters determined by certain rank one subgroups of G. A sufficient condition for such a representation to be unitary is found, and the condition is shown to be necessary in the rank one case.
Detail Book of Non Spherical Principal Series Representations of a Semisimple Lie Group PDF
- Author : Alfred Magnus
- Release : 21 September 1979
- Publisher : American Mathematical Soc.
- ISBN : 9780821822166
- Genre : Mathematics
- Total Page : 62 pages
- Language : English
- PDF File Size : 13,7 Mb
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