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The Mikheev identity in right Hom-alternative algebras
Right Hom-alternative algebra Mikheev identity Rings and Algebras
2012/5/9
It is shown that in every multiplicative right Hom-alternative algebra, a Hom-type generalization of the Mikheev identity holds. It is then inferred that a multiplicative right Hom-alternative algebra...
Invariants of Topological Relative Right Equivalences
function germ integral closure Bruce-Roberts number
2012/4/17
The constancy of the Milnor number has several characterizations which were summarized by Greuel in 1986. This paper presents a study of these characterizations in the case of families of functions wi...
On overtwisted, right-veering open books
Contact surgery destabilizable diffeomorphisms Giroux’s correspondence open books overtwisted contact structures
2011/9/21
Abstract: We exhibit infinitely many overtwisted, right-veering, non-destabilizable open books, thus providing infinitely many counterexamples to a conjecture of Honda-Kazez-Matic. The page of all our...
Triangular decomposition of right coideal subalgebras
Hopf algebra coideal subalgebra PBW-basis
2011/2/25
Let g be a Kac-Moody algebra. We show that every ho-mogeneous right coideal subalgebra U of the multiparameter version of the quantized universal enveloping algebra Uq(g), qm 6= 1 containing all group...
If w = u for ∈ = {1, 2} and u ∈ ∗, then w is said to be a simple right extension of u and denoted by u ≺ w. Let k be a positive integer and Pk(") denote the set of all C∞-words of he...
The Hirota τ-function and well-posedness of the KdV equation with an arbitrary step like initial profile decaying on the right half line
Korteweg-de Vries equation inverse scattering transform Schr ¨odinger operator
2011/3/1
We are concerned with the Cauchy problem for the KdV equation on the whole line with an initial profile V0 which is decaying sufficiently fast at +¥ and arbitrarily enough (i.e., no decay or patte...
Combinatorial Methods for Detecting Surface Subgroups in Right-Angled Artin Groups
Combinatorial Methods Surface Subgroups Right-Angled Artin Groups
2011/2/23
We give a short proof of the following theorem of Sang-hyun Kim:if A() is a right-angled Artin group with de ning graph , then A() contains a hyperbolic surface subgroup ...
Combinatorial Methods for Detecting Surface Subgroups in Right-Angled Artin Groups
Combinatorial Methods Surface Subgroups Right-Angled Artin Groups
2011/2/23
We give a short proof of the following theorem of Sang-hyun Kim:if A() is a right-angled Artin group with de ning graph , then A() contains a hyperbolic surface subgroup ...
Farey sequences, Stern-Brocot sequences, the Calkin-Wilf sequences are shown to be generated via almost identical second order recurrence relations. These sequences have combinatorial, computational, ...
The Hirota τ-function and well-posedness of the KdV equation with an arbitrary step like initial profile decaying on the right half line
Korteweg-de Vries equation inverse scattering transform Schr ¨odinger operator
2010/12/28
We are concerned with the Cauchy problem for the KdV equation on the whole line with an initial profile V0 which is decaying sufficiently fast at +¥ and arbitrarily enough (i.e., no decay or patte...
Right submodules of finite rank for von Neumann dynamical systems
Finite rank submodules von Neumann dynamical systems
2010/11/29
Let (M, , , ) be a (finite) von Neumann dynamical system and let N be a unital von Neumann subalgebra of M which is -invariant. If V ⊂ L2(M) is a right N-submodule whose pr...
Infinite generation of non-cocompact lattices on right-angled buildings
Infinite generation non-cocompact lattices right-angled buildings
2010/12/9
Let be a non-cocompact lattice on a locally finite regular right-angled building X. We prove that if has a strict fundamental domain then is not finitely generated. We...
Right-angled Coxeter polytopes, hyperbolic 6-manifolds, and a problem of Siegel
Hyperbolic manifold right-angled polytope Coxeter group
2010/12/8
By gluing together the sides of eight copies of an all-right angled hyperbolic 6-dimensional polytope, two orientable hyperbolic 6-manifolds with Euler characteristic −1 are constructed. They ar...
Conjugacy p-separability of right-angled Artin groups and applications
Conjugacy p-separability right-angled Artin groups applications
2010/12/9
We prove that every subgroup of p-power index in a right-angled Artin group is conjugacy p-separable. In particular, every right-angled Artin group is conjugacy p-separable. A consequence of this resu...
The University of Queensland has recognised an eminent UQ academic for distinguished service in the field of mathematical physics. At a recent meeting, the University's Senate conferred the title of P...