Denote the free group on 2 letters by F2 and the SL(2,C)-representation variety of F2 by R = Hom(F2, SL(2,C)). The group SL(2,C) acts on R by conjugation. We construct an isomorphism between the coordinate ring C[SL(2,C)] and the ring of matrix coefficients, providing an additive basis of C[R]SL(2,C) in terms of spin networks. Using a graphical calculus, we determine the symmetries and multipli...

In this paper, we investigate model checking algorithms for variants of strategy logic over pushdown multi-agent systems, modeled by pushdown game structures (PGSs). We consider various fragments of strategy logic, i.e., SL[CG], SL[DG], SL[1G] and BSIL. We show that the model checking problems on PGSs for SL[CG], SL[DG] and SL[1G] are 3EXTIME-complete, which are not harder than the problem for ...

in this paper we will give the character table of the irreducible rational representations of g=sl (2, q) where q= , p prime, n>o, by using the character table and the schur indices of sl(2,q).

The hormone ethylene regulates a wide range of plant developmental processes and EBF (EIN3-binding F-box) proteins were shown to negatively regulate the ethylene signalling pathway via mediating the degradation of EIN3/ EIL proteins. The present study reports on the identification of two tomato F-box genes, Sl-EBF1 and Sl-EBF2 from the EBF subfamily. The two genes display contrasting expression...

This essay is about representations. It says nothing about what might be called invariant harmonic analysis on G. It does not discuss orbital integrals at all, and says very little about characters. Nor does it prove anything deep about the relationship between representations of G and those of its Lie algebra, or about versions of Fourier transforms. These topics involve too much analysis to b...

BACKGROUND SoundTracker is an algorithm in Widex's Compass fitting software that could potentially be used to estimate a patient's aided sensation level (SL). SoundTracker's accuracy of estimating a patient's SL has never been verified in comparison to SL measured with commercially available real-ear analyzers. PURPOSE Determine whether statistically significant differences are present betwee...

The efficacy of two routes of apomorphine, subcutaneous (SC) and sublingual (SL), successively administered in 7 Parkinsonian patients with motor fluctuations, was compared in reducing the daily duration of "off" phases. The mean duration of SC and SL treatment was 7.7 and 6.8 months respectively. The mean time spent in "off" phase was 55% after SC and 68% after SL treatment. The mean time befo...