On Alternative Supermatrix Reduction
نویسنده
چکیده
We consider a nonstandard odd reduction of supermatrices (as compared with the standard even one) which arises in connection with possible extension of manifold structure group reductions. The study was initiated by consideration of the generalized noninvertible superconformal-like transformations. The features of evenand oddreduced supermatrices are investigated on a par. They can be unified into some kind of ”sandwich” semigroups. Also we define a special module over evenand odd-reduced supermatrix sets, and the generalized Cayley-Hamilton theorem is proved for them. It is shown that the odd-reduced supermatrices represent semigroup bands and Rees matrix semigroups over a unit group. PACS numbers: 02.20.Mp; 11.30.Pb
منابع مشابه
A likelihood look at the supermatrix-supertree controversy.
Supermatrix and supertree methods are two strategies advocated for phylogenetic analysis of sequence data from multiple gene loci, especially when some species are missing at some loci. The supermatrix method concatenates sequences from multiple genes into a data supermatrix for phylogenetic analysis, and ignores differences in evolutionary dynamics among the genes. The supertree method analyze...
متن کاملGauge Theory on Noncommutative Supersphere from Supermatrix Model
We construct a supermatrix model which has a classical solution representing the noncommutative (fuzzy) two-supersphere. Expanding supermatrices around the classical background, we obtain a gauge theory on a noncommutative superspace on sphere. This theory has osp(1|2) supersymmetry and u(2L+1|2L) gauge symmetry. We also discuss a commutative limit of the model keeping radius of the supersphere...
متن کاملSuper Yang-Mills Theory from a Supermatrix Model
It is known that Yang-Mills theories on non-commutative space can be derived from largeN reduced models. Gauge fields in non-commutative Yang-Mills theories can be described as fluctuations of matrices expanded about an appropriate classical solution of the reduced models. We investigate a generalization of this procedure in superfield formalism. We show that we can construct a supermatrix mode...
متن کاملSuperTRI: A new approach based on branch support analyses of multiple independent data sets for assessing reliability of phylogenetic inferences.
Supermatrix and supertree are two methods for constructing a phylogenetic tree by using multiple data sets. However, these methods are not a panacea, as conflicting signals between data sets can lead to misinterpret the evolutionary history of taxa. In particular, the supermatrix approach is expected to be misleading if the species-tree signal is not dominant after the combination of the data s...
متن کاملSuperfield formulation of 4 D , N = 1 massless higher spin gauge field theory and supermatrix model
We study the relation between a supermatrix model and the free 4D, N = 1 supersymmetric field theory of a massless supermultiplet with spins (3, 5/2). In order to do this, we construct a superfield formulation of the theory. We show that solutions of the equations of motion for the supermultiplet (3, 5/2) satisfy the equations of motion of a supermatrix model. e-mail: [email protected]
متن کامل