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The comparison of the local and the global method for proving unitarizability (CROSBI ID 36487)

Prilog u knjizi | izvorni znanstveni rad

Hanzer, Marcela The comparison of the local and the global method for proving unitarizability // Functional analysis IX. Proceedings of the postgraduate school and conference, Dubrovnik, Croatia, June 15-23, 2005 / Muić, G. ; Hoffmann-Joergenson, J. (ur.). Aarhus: Institut for Matematik, Universiteit van Aarhus, 2007. str. 58-69

Podaci o odgovornosti

Hanzer, Marcela

engleski

The comparison of the local and the global method for proving unitarizability

Using the example of the hermitian quaternionic group of the split rank two, the author compares two methods of proving unitarizability of the representations (for the groups over the local fields). The global method amounts to the calculation of the (part) of the residual spectrum, but the appearance of the representation on the local place depends on some global information (the zeroes and poles of the global L--function) which is often difficult to relate with the local data. This is bypassed by using a completely local approach which can be generalized to the classical groups of large ranks.

hermitian quaternionic group, unitarizability, local fields

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Podaci o prilogu

58-69.

objavljeno

Podaci o knjizi

Functional analysis IX. Proceedings of the postgraduate school and conference, Dubrovnik, Croatia, June 15-23, 2005

Muić, G. ; Hoffmann-Joergenson, J.

Aarhus: Institut for Matematik, Universiteit van Aarhus

2007.

0065-0188

Povezanost rada

Matematika

Poveznice