Quantum groups: from Kulish-Reshetikhin discovery to classification

The aim of this paper is to provide an overview of the results about classification of quantum groups that were obtained in arXiv:1303.4046 [math.QA] and arXiv:1502.00403 [math.QA].Comment: 10 page

New rr-Matrices for Lie Bialgebra Structures over Polynomials

For a finite dimensional simple complex Lie algebra $\mathfrak{g}$, Lie bialgebra structures on $\mathfrak{g}[[u]]$ and $\mathfrak{g}[u]$ were classified by Montaner, Stolin and Zelmanov. In our paper, we provide an explicit algorithm to produce $r$-matrices which correspond to Lie bialgebra structures over polynomials

Classification of quantum groups and Belavin--Drinfeld cohomologies for orthogonal and symplectic Lie algebras

In this paper we continue to study Belavin-Drinfeld cohomology introduced in arXiv:1303.4046 [math.QA] and related to the classification of quantum groups whose quasi-classical limit is a given simple complex Lie algebra. Here we compute Belavin-Drinfeld cohomology for all non-skewsymmetric $r$-matrices from the Belavin-Drinfeld list for simple Lie algebras of type $B$, $C$, and $D$.Comment: 17 page

Criminal Liability of Corporations—Comparative Jurisprudence

Article published in the Michigan State University School of Law Student Scholarship Collection

Use RAPD Technique for Characterization of Genotypical Variability of Maize Germplasm from SCDA Turda

Genetic analysis with RAPD markers has been extensively used to determine diversity among maize genotypes. The aim of the present study was to estimate genetic relationships among 70 genotypes, provided from SCDA Turda Cluj germplasm collection. RAPD analysis was performed with 14 decamer primers. These primers generated, among the studied genotypes, a number of polymorphic bands comprised between 13 bands (OPA 04) and 7 bands (OPAL 20). The highest numbers of polymorphic bands were obtained with primer OPA 04, respectively 13 bands, following by OPO 12 (12 polymorphic bands), OPAB 11 and OPA 17 (11 polymorphic bands). Lowest number was obtained with primer OPAL 20, respectively 7 polymorphic bands. Genetic distances were established using Nei-Li coefficient and UPGMA dendrogram was constructed with RAPDistance 1.04 software. The built dendrogram shows phylogenetic relationships between genotypes analyzed