Journal of Lie Theory

no. 1
On the Reducibility Points beyond the Ends of Complementary Series of p-adic General Linear Groups
Journal of Lie Theory, Volume 25 (2015) no. 1, pp. 147-183
We consider the reducibility points beyond the ends of complementary series of general linear groups over a p-adic field, which start with Speh representations. We describe explicitly the composition series of the representations at these reducibility points. They are multiplicity one representations, and they can be of arbitrary length. We give Langlands parameters of all the irreducible subquotients and determine the lattice of subrepresentations.
DOI: 10.5802/jolt.832
Classification: 22E50
Keywords: Non-archimedean local fields, general linear groups, Speh representations, parabolically induced representations, reducibility, composition series, unitarizability 
@article{JOLT_2015_25_1_a8,
     author = {M. Tadic},
     title = {On the {Reducibility} {Points} beyond the {Ends} of {Complementary} {Series} of p-adic {General} {Linear} {Groups}},
     journal = {Journal of Lie Theory},
     pages = {147--183},
     year = {2015},
     volume = {25},
     number = {1},
     doi = {10.5802/jolt.832},
     zbl = {1327.22021},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.832/}
}
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M. Tadic. On the Reducibility Points beyond the Ends of Complementary Series of p-adic General Linear Groups. Journal of Lie Theory, Volume 25 (2015) no. 1, pp. 147-183. doi: 10.5802/jolt.832

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