Actions of ${\rm SU}(2)$ on $S^7$.

q-FUZZY SPHERES AND QUANTUM DIFFERENTIALS ON Bq[SU2] AND Uq(su2)

We show that the 2-parameter Podles sphere is a q-fuzzy sphere precisely interpolating between the fuzzy sphere as quotient of the angular momentum algebra U(su2) and the standard q-sphere Cq [S] as subalgebra of the quantum group Cq [SU2]. Whereas the classical sphere as CP 1 can be defined as the algebra generated by the matrix entries of a projector e with trace(e) = 1, the fuzzy-sphere is d...

S7 Table

Yes. RNA-seq can be used to quantify transcript levels from a sample. In order to perform useful statistics, one sample is insufficient. Replicates must be used to appropriately power such statistics. The RNA-seq method is an impressive advancement with many applications for studying RNA biology but it does not eliminate biological variability. If the input samples are heavily degraded or have ...

On the topological centers of module actions

In this paper, we  study the Arens regularity properties of module actions. We investigate some properties of topological centers of module actions ${Z}^ell_{B^{**}}(A^{**})$ and  ${Z}^ell_{A^{**}}(B^{**})$ with some conclusions in group algebras.

Topological superconductor in quasi-one-dimensional ${\rm Tl}_{2-x}{\rm Mo}_6{\rm Se}_6$

Actions of vector groupoids

In this work we deal with actions of vector groupoid which is a new concept in the literature‎. ‎After we give the definition of the action of a vector groupoid on a vector space‎, ‎we obtain some results related to actions of vector groupoids‎. ‎We also apply some characterizations of the category and groupoid theory to vector groupoids‎. ‎As the second part of the work‎, ‎we define the notion...