We present a survey of recent developments of the Beilinson–Lusztig–MacPherson approach in the study of quantum gl n , infinitesimal quantum gl n , quantum gl ∞ and their associated q-Schur algebras, little q-Schur algebras and infinite q-Schur algebras. We also use the relationship between quantum gl ∞ and infinite q-Schur algebras to discuss their representations.

The notion of bisimulation is extended to Game Logic (GL), a logic for reasoning about winning strategies in 2-player games. We show that all game constructions of GL are safe for bisimulation, i.e. that an atomic bisimulation can be lifted to non-atomic games constructed by the operations of GL. As a consequence, bisimilar states satisfy the same GL-formulas.

General linear (GL) methods are numerical algorithms used to solve ODEs. The standard order conditions analysis involves the GL matrix itself and a starting procedure; however, a finishing method (F) is required to extract the actual ODE solution. The standard order analysis and stability are sufficient for the convergence of any GL method. Nonetheless, using a simple GL scheme, we show that th...

STUDY DESIGN Prospective study of 131 patients and volunteers recruited for an analysis of spinal alignment and gravity line (GL) assessment by force plate analysis. OBJECTIVE To determine relationships between GL, foot position, and spinopelvic landmarks in subjects with varying sagittal alignment. Additionally, the study sought to analyze the role of the pelvis in the maintenance of GL posi...

We show the faithful embedding of common knowledge logic CKL into game logic GL, that is, CKL is embedded into GL and GL is a conservative extension of the fragment obtained by this embedding. Then many results in GL are available in CKL, and vice versa. For example, an epistemic consideration of Nash equilibrium for a game with pure strategies in GL is carried over to CKL. Another important ap...

Curcumin, a naturally occurring antioxidant, has various beneficial effects in the treatment of human diseases. However, little information regarding the protection it provides against acute liver injury is available. The present study investigated the protective effects of curcumin against D-galactosamine (D-GalN)/lipopolysaccharide (LPS)-induced acute liver injury in mice. A total of 40 male ...

In decapod crustaceans, claw muscle undergoes atrophy in response to elevated ecdysteroids while thoracic muscle undergoes atrophy in response to unweighting. The signaling pathways that regulate muscle atrophy in crustaceans are largely unknown. Myostatin is a negative regulator of muscle growth in mammals, and a myostatin-like cDNA is preferentially expressed in muscle of the land crab, Gecar...

GL-V9, a new synthesized flavonoid derivative, has been reported to possess anti-cancer properties in our previous studies. Uncontrolled overproduction of reactive oxygen species (ROS) has been implicated in oxidative damage of inflammatory bowel disease (IBD). In this study, we aimed to investigate the protective effect of GL-V9 against dextran sulfate sodium (DSS)-induced colitis. GL-V9 atten...

In the framework of Abstract Differential Geometry, especially that dealing with vector sheaves (as expounded in [8]) and principal sheaves (initiated by [9]), we show that to a given principal sheaf (P ,G,X, π) together with a representation φ : G → GL(n,A), we associate a vector sheaf (E ,X, p). If φ is compatible with the representations of G and GL(n,A) into appropriate sheaves of Lie algeb...