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Let k be a algebraically closed field. We give a necessary and sufficient condition for a basic Hopf algebra over k to be finite representation type. Explicitly, we prove that a basic Hopf algebra ove...
Pareto optimal linear classification     Linear classifier  probability  weigh  gaussian distribution       font style='font-size:12px;'> 2015/8/10
We consider the problem of choosing a linear classifier that minimizes misclassification probabilities in two-class classification, which is a bi-criterion problem, involving a trade-off between two o...
Finite W-algebras are certain associative algebras arising in Lie theory. Each W-algebra is constructed from a pair of a semisimple Lie algebra g (our base field is algebraically closed and of charact...
H. Davenport's Problem asks: What can we expect of two polynomials,over Z, with the same ranges on almost all residue class elds?This stood out among many separated variable problems posed by Davenpo...
An algebraic classification of entangled states      algebraic classification  entangled states        font style='font-size:12px;'> 2011/3/2
We provide a classification of entangled states that is based on the analysis of algebraic properties of linear maps associated with the states.
The method of preliminary group classification is rigorously defined, enhanced and related to the theory of group classification of differential equations. Typical weaknesses in papers on this metho...
Classification of self-dual codes of length 36      Classification  self-dual codes of length 36        font style='font-size:12px;'> 2011/2/28
A complete classification of binary self-dual codes of length 36 is given.
A classification of quaternary Hermitian self-dual codes of length 20 is given.Using this classification, a classification of extremal quaternary Hermitian self-dual codes of length 22 is also given.
We give a complete answer to the questions of factoriality, type classification and fullness for arbitrary free product von Neumann algebras
Let M be a closed manifold and let CL(M) be the algebra of classical pseudodifferential operators. The aim of this note is to classify trace functionals on the subspaces CL^a(M) of CL(M) of operators...
In this paper, we provide a uniform method to thoroughly classify all Harish-Chandra modules over some Lie algebras and superconformal algebras related to the Virasoro algebras. We first classify suc...
We treat non-symplectic automorphisms on K3 surfaces which act trivially on the N´eron-Severi lattice. In this paper,we classify non-symplectic automorphisms of prime-power order,especially 2-po...
The theorems in Drinfel′d (1993), Liu et al. (1998), Jotz (2010a) about one-one orrespondence between homogeneous objects of a Poisson Lie group (respectively Poisson Lie groupoid, Dirac Lie group)and...
We complete the derived equivalence classification of all symmetric algebras of poly-nomial growth, by solving the subtle problem of distinguishing the standard and nonstandard nondomestic symmetric a...
We describe a method for classifying nilpotent associative alge-bras, that is analogous to the Skjelbred-Sund method for classifying nilpotent Lie algebras (cf. [19], [8]). Subsequently we classify ni...

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