In this paper, we study modular forms on two simply connected groups of type D4 over Q. One group, Gs, is a globally split group of type D4, viewed as the group of isotopies of the split rational octonions. The other, Gc, is the isotopy group of the rational (non-split) octonions. We study automorphic forms on Gs in analogy to the work of Gross, Gan, and Savin on G2; namely we study automorphic...

In analogy with the study of representations of GL2n(F ) distinguished by Sp 2n(F ), where F is a local field, in this paper we study representations of U2n(F ) distinguished by Sp2n(F ). (Only quasi-split unitary groups are considered in this paper since they are the only ones which contain Sp 2n(F ).) We prove that there are no cuspidal representations of U2n(F ) distinguished by Sp2n(F ) for...

In this paper, we study modular forms on two simply connected groups of type D4 over Q. One group, Gs, is a globally split group of type D4, viewed as the group of isotopies of the split rational octonions. The other, Gc, is the isotopy group of the rational (non-split) octonions. We study automorphic forms on Gs in analogy to the work of Gross, Gan, and Savin on G2; namely we study automorphic...

The persistence behavior for fluctuating steps on the Si(111)-(sqrt[3]xsqrt[3])R30 degrees -Al surface was determined by analyzing time-dependent STM images for temperatures between 770 and 970 K. Using the standard persistence definition, the measured persistence probability displays power-law decay with an exponent of theta=0.77+/-0.03. This is consistent with the value of theta=3/4 predicted...

Using theta correspondence, we obtain a classification of irreducible representations an arbitrary even orthogonal group (i.e. the local Langlands correspondence) by deducing it from correspondence for symplectic groups due to Arthur. Moreover,we show that our classifications coincide with established Arthur and formulated precisely Atobe-Gan quasi-split groups.

The development pathway from embryonic thymus-stem cell to peripheral thymus-derived lymphocyte has been demonstrated using the alloantigens theta (theta) and TL as surface markers of cell differentiation. On the basis of cytotoxicity tests carried out on CBA.H or A embryo thymus cultured in diffusion chambers and on CBA.H embryo thymus grafts and peripheral lymphocytes derived from them in AKR...

This study starts with a survey on the end-user’s behaviour on operating a multi-split VRF air-conditioning system and progresses with reasonable assumptions and finally, mathematical models are used to generate the calculation equations. Taking a one-to-four multi-split system as an example, step by step, a new performance rating approach for a multi-split air-conditioning system is developed.