The v-function is a key ingredient in the wild McKay correspondence. In this paper, we give formula to compute it terms of valuations Witt vectors, when given group cyclic prime power order. We apply study singularities quotient variety by square criterion whether stringy motive converges or not. Furthermore, if representation indecomposable, then also simple for being terminal, canonical, log ...

Regularized coherent-state functional integrals are derived for ensembles of identical bosons on a lattice, the regularization being discretization Euclidian time. Convergence time-continuum limit is shown various discretized actions. The focus integral representation partition function and expectation values in canonical ensemble. connection to grand-canonical integral, number differences, dis...

Abstract. Starting from the defining transformations of complex matrices for the SO(4) group, we construct the fundamental representation and the tensor and spinor representations of the group SO(4). Given the commutation relations for the corresponding algebra, the unitary representations of the group in terms of the generalized Euler angles are constructed. These mathematical results help us ...

(1) Background: Understanding the function of circular RNAs (circRNAs), a class noncoding RNA, in psoriatic skin can provide important insights into complex regulation genes contributing to pathogenesis psoriasis. (2) Methods: A novel method was applied RNA-seq datasets from 93 biopsy samples comprehensively identify circRNAs all types, i.e., canonical intron-exon junctions mRNAs and interior (...