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SPARSIFYING PRECONDITIONER FOR PSEUDOSPECTRAL APPROXIMATIONS OF INDEFINITE SYSTEMS ON PERIODIC STRUCTURES
Helmholtz equation Schrodinger equation preconditioner pseudospectral approximation indefinite matrix periodic structure sparse linear algebra
2015/7/14
This paper introduces the sparsifying preconditioner for the pseudospectral approximation of highly indefinite systems on periodic structures, which include the frequency-domain response problems of t...
We study P-Hopf algebras with one coassociative cooperation over different operads P. For example, we consider the Loday-Ronco dendriform Hopf algebra and its isomorphisms with the noncommutative plan...
Automorphisms of geometric structures associated to Coxeter groups
Automorphisms geometric structures associated Coxeter groups
2012/3/1
In this paper, we consider the automorphism groups of the Cayley graph with respect to the Coxeter generators and the Davis complex of an arbitrary Coxeter group. We determine for which Coxeter groups...
Some graphical aspects of Frobenius structures
graphical aspects Frobenius structures Rings and Algebras
2012/3/1
We survey some aspects of Frobenius algebras, Frobenius structures and their relation to finite Hopf algebras using graphical calculus. We focus on the `yanking' moves coming from a closed structure i...
From automatic structures to automatic groups
automatic structures automatic groups Group Theory
2011/9/14
Abstract: In this paper we introduce the concept of a Cayley graph automatic group (CGA group or graph automatic group, for short) which generalizes the standard notion of an automatic group. Like the...
Algebraic Structures using Natural Class of Intervals
Algebraic Structures Natural Class of Intervals General Mathematics
2011/8/23
Abstract: This book has eleven chapters. Chapter one describes all types of natural class of intervals and the arithmetic operations on them. Chapter two introduces the semigroup of natural class of i...
Cellular and quasihereditary structures of generalized quantized Schur algebras
Cellular quasihereditary structures generalized quantized Schur algebras
2011/3/1
We give a self-contained derivation of a new cellular basis of generalized quantized Schur algebras, independent of the theory of quantum groups.
We review some recent results concerning Landau levels and Tomita-Takesaki modular theory. We also extend the general framework behind this to quasi *-algebras, to take into account the possible appea...
Integrable invariant almost complex structures are introduced in the setting of Lie-Hopf
superalgebras. This leads to a convenient description of the subsheaf of holomorphic
superfunctions in the sh...
Half-flat structures on decomposable Lie groups
Half-flat structures decomposable Lie groups
2011/2/22
Half-flat SU(3)-structures are the natural initial values for Hitchin’s evolution equations whose solutions define parallel G2-structures.
Cuspidal Multiple Structures on Smooth Algebraic Varieties as Support
Cuspidal Multiple Structures Smooth Algebraic Varieties
2010/11/24
We construct lci nilpotent scheme structures $Y \subset P$ on a smooth variety $X$ embedded in a smooth variety $P$, which are, locally, (i.e. in $\widehat{\mathcal O}_{p,P}$ ) given by ideals of the ...
Classifying spaces of degenerating mixed Hodge structures, II: Spaces of SL(2)-orbits
Classifying spaces degenerating mixed Hodge structures
2010/11/23
We construct an enlargement of the classifying space of mixed Hodge structures with polarized graded quotients, by adding mixed Hodge theoretic version of SL(2)-orbits. This space has a real analytic ...
Algebraic and combinatorial structures on Baxter permutations
Algebraic combinatorial structures Baxter permutations
2010/11/23
We construct a Hopf subalgebra of the Hopf algebra of Free quasi-symmetric functions whose bases are indexed by objects belonging to the Baxter combinatorial family (i.e. Baxter permutation, pairs of ...
Essential parabolic structures and their infinitesimal automorphisms
Essential parabolic structures infinitesimal automorphisms
2010/11/8
Using the theory of Weyl structures, we give a natural generalization of the notion of essential conformal structures and conformal Killing fields to arbitrary parabolic geometries. We show that a pa...
Simple examples of distinct Liouville-type symplectic structures
distinct Liouville-type symplectic structures math
2010/11/11
We discuss some examples of open manifolds which admit non-isomorphic symplectic structures of Liouville type