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Basic Hopf Algebras of Finite Representation Type and Their Classification
Basic Hopf Algebras Finite Representation Type Their Classification
2018/4/20
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
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...
Classification of finite dimensional irreducible modules over W-algebras
Classification of finite dimensional irreducible modules over W-algebras
2012/2/29
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...
Variables separated equations: Strikingly different roles for the Branch Cycle Lemma and the Finite Simple Group Classification
group representations normal varieties Galois strati cation
2011/2/25
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...
We provide a classification of entangled states that is based on the analysis of algebraic properties of linear maps associated with the states.
Enhanced preliminary group classification of a class of generalized diffusion equations
Enhanced preliminary group classification class of generalized diffusion equations
2011/1/17
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
2011/2/28
A complete classification of binary self-dual codes of length 36 is given.
Classification of quaternary Hermitian self-dual codes of length 20
Classification quaternary Hermitian self-dual codes of length 20
2011/1/18
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.
Factoriality, type classification and fullness for free product von Neumann algebras
Factoriality type classification von Neumann algebras
2010/11/24
We give a complete answer to the questions of factoriality, type classification and fullness for arbitrary free product von Neumann algebras
Classification of traces and hypertraces on spaces of classical pseudodifferential operators
classical pseudodifferential operators math
2010/11/19
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...
Classification of Harish-Chandra modules over some Lie algebras and superconformal algebras related to the Virasoro algebra
Harish-Chandra modules Lie algebras
2010/11/22
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...
Classification of non-symplectic automorphisms on $K3$ surfaces which act trivially on the Néron-Severi lattice
K3 surface non-symplectic automorphism
2010/12/10
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...
A classification theorem for Dirac homogeneous spaces of Dirac Lie groupoids
Poisson Lie groupoids Lie groupoids Dirac manifolds homogeneous spaces Courant algebroids
2010/11/29
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...
Derived equivalence classification of symmetric algebras of polynomial growth
Symmetric algebra Polynomial growth Derived equivalence K¨ulshammer ideals
2010/12/1
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...
Classification of nilpotent associative algebras of small dimension
Classification nilpotent associative algebras small dimension
2010/12/14
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...