A 48-year-old woman was admitted to our hospital in 2003, complaining of weight loss. Complete blood cell count revealed thrombocytopenia. Abdominal CT demonstrated marked splenomegaly. FDG-PET revealed a hot spot in the whole spleen. A splenectomy was performed. Histological examination was typical for angiosarcoma. Adjuvant chemotherapy was given, and high-dose chemotherapy with autologous peripheral blood stem cell transplantation was performed. Thrombocytopenia developed again in 2008. CT scan showed a hepatic tumor. A fine-needle biopsy of the liver revealed the first relapse. Despite hepatic lobectomy, radiofrequency ablations and administration of recombinant interleukin-2, she died from respiratory failure in 2009.
We give a description of the local Jacquet-Langlands correspondence for simple supercuspidal representations via type theory. As a consequence, we show that the endo-classes for such representations are invariant under the local Jacquet-Langlands correspondence.
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