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Transformation of operator algebras under Hopf algebra twist is studied. It is shown that that adjoint module algebras are stable under the twist. Applications to vector fields on non-commutative spac...
Adjoint orbit types of compact exceptional Lie group G2 in its Lie algebra
exceptional Lie group G2 Lie algebra
2010/11/8
A Lie group $G$ naturally acts on its Lie algebra $\gg$, called the adjoint action. In this paper, we determine the orbit types of the compact exceptional Lie group $G_2$ in its Lie algebra $\gg_2$. ...
On a class of $J$-self-adjoint operators with empty resolvent set
Elliptic curve Elliptic divisibility sequence Primitive divisor
2010/11/30
We establish conditions necessary for the n-th element of any elliptic divisibility sequence generated by points on Ea : y2 = x3+ax to not have a primitive divisor. As a consequence of this, along wit...
On the Norm of a Self-Adjoint Operator and a New Bilinear Integral Inequality
norm self-adjoint bilinear inequality Beta function
2007/12/11
In this paper, the expression of the norm of a self-adjoint integral operator $T:$ $% L^{2}(0,\infty )\rightarrow L^{2}(0,\infty )$ is obtained. As applications, a new bilinear integral inequality wit...
Self-Adjoint Boundary Value Problems on Time Scales and Symmetric Green's Functions
Time scales self-adjoint differential expressions self-adjoint boundary conditions
2010/2/26
In this note, higher order self-adjoint differential expressions on time scales, and associated with them self-adjoint boundary conditions, are discussed. The symmetry peoperty of the corresponding Gr...
Left Adjoint of Pullback Cat1- profinite groups
Crossed modules Cat1-groups pullback Profinite groups Left Right Adjoint Cocomplete category
2010/3/1
In this paper, we present a brief review crossed modules \cite{whitehead}, cat1-groups \cite{loday}, profinite crossed modules \cite{kortim}, cat1-profinite groups \cite{kortim}, pullback profinite cr...
Left Adjoint of Pullback Cat1 -Groups
Crossed modules cat1-groups pullback Cocomplete category Adjoint
2010/3/3
In [1] we define the pullback Cat1-groups and showed that the category of pullback Cat1-groups is equivalent to the category of pullback crossed modules. In this paper we proved that the pullback Cat1...