Naslov
Exceptional dual pair correspondences

Autori
Kovačević, Domagoj

Vrsta, podvrsta i kategorija rada
Ocjenski radovi, doktorska disertacija

Fakultet
University of Utah

Mjesto
Salt Lake City

Datum
07.12

Godina
2006

Stranica
49

Mentor
Savin, Gordan

Ključne riječi
dual pair correspondence; real form

Sažetak
Dual pair in a Lie algebra g is a pair of subalgebras g1×g2 such that Zg(gi) = gj. The restriction of a representation pi of g is a sum of representations of g1×g2. It gives a correspondence of representations of g1 and g2. In the first part of this thesis we describe real forms of dual pairs gC2×h in g of type En. In the second part, we give a new construction of an (eC6, SL(3, C)×SL(3, C)×SL(3, C))-modules annihilated by the Joseph ideal. Using this construction, we construct a correspondence between PGL(3, C)-modules and (gC2, SL(3, C))-modules. In the last part, we sketch a classification of (gC2, SL(3, C))-modules which is needed in the second part. We give a classification of SL(3, C)-orbits on G2/B. This is the main ingredient for the classification of (gC2, SL(3, C))-modules.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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