Abstract Seshadri constants on abelian surfaces are fully understood in the case of Picard number one. Little is known so far for simple higher number. In this paper we investigate principally polarized with real multiplication. They two and might be considered next natural to studied. The challenge not only determine individual line bundles, but understand whole function these surfaces. Our re...

we study topological von neumann regularity and principal von neumann regularity of banach algebras. our main objective is comparing these two types of banach algebras and some other known banach algebras with one another. in particular, we show that the class of topologically von neumann regular banach algebras contains all $c^*$-algebras, group algebras of compact abelian groups and cer...

In this paper we present a novel gait analysis technique which can directly be used to synthesize gaits for a broad class of mechanical systems. We build upon prior work in locomotion mechanics, however we take a different approach to generate gaits that yield absolute motion of the mechanical system. We present a systematic analysis to control all parameters of a proposed type of gait which el...

In this paper, we calculate a series of principally specialized characters of the ŝl(m|1)-modules of level 1. In particular, we show that the principally specialized characters of the basic modules L(Λ0) is expressed as an infinite product. In addition, we deduce the specialized character formula of “quasiparticle” type. 0. INTRODUCTION Character formulas of basic representation of ŝl(m|n) are ...