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An invariant formula for a star product with separation of variables
deformation quantization with separation of variables Kahler connection covariant tensors
2011/9/22
Abstract: We give an invariant formula for a star product with separation of variables on a pseudo-Kahler manifold.
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...
Construction of gauge-invariant variables for linear-order metric perturbations on some background spacetimes
gauge-invariant variables linear-order metric perturbations background spacetimes
2011/3/2
Gauge-invariant treatments of general-relativistic higher-order perturbations on generic background spacetime is proposed. We show the fact that the linear-order metric perturbation is decomposed into...
Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras
Supercharacters symmetric functions noncommuting variables related Hopf algebras
2010/12/9
We identify two seemingly disparate structures: supercharacters, a useful way of doing Fourier analysis on the group of unipotent uppertriangular matrices with coefficients in a finite
field, and the...
We show that certain inequalities for the means A, G, L, I proved by H.-J. Seiffert [12] as well as by H. Alzer and S.-L. Qiu [3] are consequences of some results of the author [5], [7], [9].
The Unfolding of Equivariant Bifurcation Problems with Two Types of State Variables in the Presence of Parameters Symmetry
equivariant bifurcation problems versal unfolding ${\mathscr K}(\Gamma \Delta)$-equivalence
2007/12/11
The unfolding of equivariant bifurcation problems with two types of state variables under the action of group ${\mathscr K}(\Gamma,\Delta)$ is discussed by using DA-algebraic tools. One of the main re...