On representation matrices of boundary conditions in SU(n)SU(n) gauge theories compactified on two-dimensional orbifolds

We study the existence of diagonal representatives in each equivalence class of representation matrices of boundary conditions in $SU(n)$ gauge theories compactified on the orbifolds $T^2/{\mathbb Z}_N$ ($N = 2, 3, 4, 6$). Using constraints, unitary transformations and gauge transformations, we examine whether the representation matrices can simultaneously become diagonal or not. We show that at least one diagonal representative necessarily exists in each equivalence class on $T^2/{\mathbb Z}_2$ and $T^2/{\mathbb Z}_3$, but the representation matrices on $T^2/{\mathbb Z}_4$ and $T^2/{\mathbb Z}_6$ can contain not only diagonal matrices but also non-diagonal $2 \times 2$ ones and non-diagonal $3 \times 3$ and $2 \times 2$ ones, respectively, as a member of block-diagonal submatrices. These non-diagonal matrices have discrete parameters, which means that the rank-reducing symmetry breaking can be caused by the discrete Wilson line phases.Comment: 44 page

腹膜および胸膜悪性中皮腫におけるEGFR発現の比較

An evaluation of epidermal growth factor receptor (EGFR) phenotypic expression in malignant pleural and peritoneal mesothelioma was undertaken, using immunohistochemical (IHC) and fluorescence in situ hybridization (FISH) analysis. Thirty-eight malignant mesothelioma (MM) specimens were subjected to IHC staining and FISH to evaluate the expression of EGFR protein and gene status. Overall positive IHC reaction was detected in 20/38 (53%) cases, in 11/22 (50%) pleural MM, and in 9/16 (56%) peritoneal MM. Our study confirmed that EGFR membranous expression is a common feature in MM, but not in benign mesothelial lesion. Thirty-seven cases did not show a gene copy number gain. Only one case showed a copy number gain. The protein overexpression of EGFR was not related to a gene copy number gain.博士（医学）・乙第1299号・平成24年5月28日© 2012 The Authors. Pathology International© 2012 Japanese Society of Pathology and Blackwell Publishing Asia Pty Ltd

Two Revision Surgeries on Cemented Custom-made Tumor Prostheses

We performed revision surgery in 2 patients for stem fracture of a cemented tumor prosthesis that occurred more than 25 years after the initial surgery. For revision, the global modular replacement system (GMRS) was used. However, as bone cement in the bone could not be adequately removed, stems with respective diameters of 11 and 12.5 mm were used. In revision surgery for cemented tumor prostheses, adequate removal of residual bone cement is optimal. However, when there is a risk of fracture, it may be appropriate to insert a thicker stem after reaming the femoral canal as much as possible, and then fix the stem using the cement-in-cement method