arXiv
(422,153 recursos)
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Mostrando recursos 161 - 180 de 66,283
161.
On Ideal Generators for Affine Schubert Varieties - Kreiman, V.; Lakshmibai, V.; Magyar, P.; Weyman, J.
We consider a certain class of Schubert varieties of the affine Grassmannian
of type A. By embedding a Schubert variety into a finite-dimensional
Grassmannian, we construct an explicit basis of sections of the basic line
bundle by restricting certain Pl\"ucker co-ordinates.
As a consequence, we write an explicit set of generators for the degree-one
part of the ideal of the finite-dimensional embedding. This in turn gives a set
of generators for the degree-one part of the ideal defining the affine
Grassmannian inside the infinite Grassmannian which we conjecture to be a
complete set of ideal generators.
We apply our results to the orbit closures of nilpotent matrices....
162.
More on super-replication formulae - Kim, Chang Heon; Koo, Ja Kyung
We extend Norton-Borcherds-Koike's replication formulae to super-replicable
ones by working with the congruence groups $\Gamma_1(N)$ and find the product
identities which characterize super-replicable functions. These will provide a
clue for constructing certain new infinite dimensional Lie superalgebras whose
denominator identities coincide with the above product identities. Therefore it
could be one way to find a connection between modular functions and infinite
dimensional Lie algebras.
163.
Curves in abelian varieties over finite fields - Bogomolov, Fedor; Tschinkel, Yuri
We study the distribution of algebraic points on curves in abelian varieties
over finite fields.
164.
On continuous extension of grafting maps - Ito, Kentaro
The definition of the grafting operation for quasifuchsian groups is extended
by Bromberg to all $b$-groups. Although the grafting maps are not necessarily
continuous at boundary groups, in this paper, we show that the grafting maps
take every "standard" convergent sequence to a convergent sequence. As a
consequence of this result, we extend Goldman's grafting theorem for
quasifuchsian groups to all boundary $b$-groups.
165.
Algorithmische Konstruktionen von Gittern - Hemkemeier, Boris
The main objective of this thesis is a classification project for integral
lattices. Using Kneser's neighbour method we have developed the computer
program tn to classify complete genera of integral lattices. Main results are
detailed classifications of modular lattices in dimensions up to 14 with levels
3,5,7, and 11. We present a fast meta algorithm for the computation of a basis
of a lattice which is given by a large generating system. A theoretical worst
case boundary and practical experiments show important advantages in comparison
to traditional methods. Up to small modifications we use this algorithm for the
decomposition of a lattice into pairwise orthogonal sublattices. As a...
166.
Summation formulae for noncommutative hypergeometric series - Schlosser, Michael
We establish several summation formulae for hypergeometric and basic
hypergeometric series involving noncommutative parameters and argument. These
results were inspired by a recent paper of J. A. Tirao [Proc. Nat. Acad. Sci.
100 (14) (2003), 8138-8141].
167.
Generalized Heisenberg groups and Shtern's question - Megrelishvili, Michael
Let H(X) be the generalized Heisenberg group induced by a normed space X. We
prove that X is a relatively minimal subgroup of H(X). We show that the group
$G:=H(L_4[0,1])$ is reflexively representable but weakly continuous unitary
representations of G in Hilbert spaces do not separate points of G. This
answers a question of A. Shtern.
168.
The Kodaira dimension of diffeomorphic K\"ahler 3-folds - Rasdeaconu, Rares
We provide infinitely many examples of pairs of diffeomorphic, non simply
connected K\" ahler manifolds of complex dimension three with different Kodaira
dimensions. Also, in any possible Kodaira dimension we find infinitely many
pairs of non deformation equivalent, diffeomorphic K\" ahler threefolds.
169.
On Covers of Abelian Groups by Cosets - Lettl, Günter; Sun, Zhi-Wei
Let G be any abelian group and {a_sG_s}_{s=1}^k be a finite system of cosets
of subgroups G_1,...,G_k. We show that if {a_sG_s}_{s=1}^k covers all the
elements of G at least m times with the coset a_tG_t irredundant then
[G:G_t]\le 2^{k-m} and furthermore k\ge m+f([G:G_t]), where f(\prod_{i=1}^r
p_i^{alpha_i})=\sum_{i=1}^r alpha_i(p_i-1) if p_1,...,p_r are distinct primes
and alpha_1,...,alpha_r are nonnegative integers. This extends Mycielski's
conjecture in a new way and implies an open conjecture of Gao and Geroldinger.
Our new method involves algebraic number theory and characters of abelian
groups.
170.
Etingof Trace, Path Hypergeometric Functions and Integrable Systems - Xu, Xiaoping
Under a certain condition, we find the explicit formulas for the trace
functions of certain intertwining operators among gl(n)-modules, introduced by
Etingof in connection with the solutions of the Calogero-Sutherland model. If
n=2, the master function of the trace function is exactly the classical Gauss
hypergeometric function. When n>2, the master functions of the trace functions
are a new family of multiple hypergeometric functions, whose differential
property and integral representation are dominated certain polynomials of
integral paths connecting pairs of positive integers. Moreover, we define and
explicitly find similar trace functions for sp(2n), which give rise to
solutions of the Olshanesky-Perelomov model of type C. The master functions of
the...
171.
Generic Lie Color Algebras - Price, Kenneth L.
We describe a type of Lie color algebra, which we call generic, whose
universal enveloping algebra is a domain with finite global dimension.
Moreover, it is an iterated Ore extension. We provide an application and show
Grobner basis methods can be used to study universal enveloping algebras of
factors of generic Lie color algebras.
172.
A Toda lattice in dimension 2 and Nevanlinna theory - Eremenko, Alexandre
It is shown how to study the 2-D Toda system for SU(n+1) using Nevanlinna
theory of meromorphic functions and holomorphic curves. The results generalize
recent results of Jost - Wang and Chen - Li.
173.
A majorization bound for the eigenvalues of some graph Laplacians - Stephen, Tamon
It is conjectured that the Laplacian spectrum of a graph is majorized by its
conjugate degree sequence. In this paper, we prove that this majorization holds
for a class of graphs including trees. We also show that a generalization of
this conjecture to graphs with Dirichlet boundary conditions is equivalent to
the original conjecture.
174.
A model structure a la Thomason on 2-Cat - Worytkiewicz, K.; Hess, K.; Parent, P. E.; Tonks, A.
We exhibit a model structure on 2-Cat, obtained by transfer from sSet across
the adjunction C_2 o Sd^2 -| Ex^2 o N_2.
175.
On Gromov-Hausdorff convergence for operator metric spaces - Kerr, David; Li, Hanfeng
We introduce an analogue for Lip-normed operator systems of the second
author's order-unit quantum Gromov-Hausdorff distance and prove that it is
equal to the first author's complete distance. This enables us to consolidate
the basic theory of what might be called operator Gromov-Hausdorff convergence.
In particular we establish a completeness theorem and deduce continuity in
quantum tori, Berezin-Toeplitz quantizations, and theta-deformations from work
of the second author. We show that approximability by Lip-normed matrix
algebras is equivalent to 1-exactness of the underlying operator space and, by
applying a result of Junge and Pisier, that for n greater than or equal to 7
the set of isometry classes of n-dimensional...
176.
Estimates for solutions of Burgers type equations and some applications - Henkin, G.; Shananin, A.; Tumanov, A.
We obtain precise large time asymptotics for the Cauchy problem for Burgers
type equations satisfying shock profile condition. The proofs are based on the
exact a priori estimates for (local) solutions of these equations and a recent
result of the first and second authors.
177.
Monoidal Categories of Corings - Kaoutit, L. El
We introduce a monoidal category of corings using two different notions of
corings morphisms. The first one is the (right) coring extensions recently
introduced by T. Brzezi\'nski in [2], and the anther is the usual notion of
morphisms defined in [5] by J. G\'omez-Torrecillas.
178.
Infinite Dimensional Chern-Simons Theory - Rosenberg, Steven; Torres-Ardila, Fabian
We extend finite dimensional Chern-Simons theory to certain infinite
dimensional principal bundles with connections, in particular to the frame
bundle $FLM\to LM$ over the loop space of a Riemannian manifold $M$.
Chern-Simons forms are defined roughly as in finite dimensions with the
invariant polynomials replaced by appropriate Wodzicki residues. This produces
odd dimensional $\R/\Z$-valued cohomology classes on $LM$ if $M$ is
parallelizable. We compute an example of a metric on the loop space of
$S^3\times S^1$ for which the three dimensional Chern-Simons class is
nontrivial.
179.
New refinements of the McKay conjecture for arbitrary finite groups - Isaacs, I. M.; Navarro, G.
Let $G$ be an arbitrary finite group and fix a prime number $p$. The McKay
conjecture asserts that $G$ and the normalizer in $G$ of a Sylow $p$-subgroup
have equal numbers of irreducible characters with degrees not divisible by $p$.
The Alperin-McKay conjecture is a version of this as applied to individual
Brauer $p$-blocks of $G$. We offer evidence that perhaps much stronger forms of
both of these conjectures are true.
180.
Grassmannians of two-sided vector spaces - Nyman, A.
We parameterize two-sided subspaces of two-sided vector spaces, and study the
geometry of the resulting moduli space. More precisely, let $k \subset K$ be an
extension of fields, and give $V=K^{n}$ a $K \otimes_{k}K$-module structure by
letting the left multiplication of $K$ on $V$ be the usual scalar
multiplication and letting the right multiplication of $K$ on $V$ be induced by
a ring homomorphism $\phi:K \to M_{n}(K)$. We parameterize $\phi$-invariant
subspaces of $V$ with fixed rank, $[W]$, by a projective scheme,
$\mathbb{G}_{\phi}([W],V)$. When $\phi$ is the diagonal embedding and
$\operatorname{dim}_{K}W=m$, the scheme $\mathbb{G}_{\phi}([W],V)$ is the
Grassmannian, $\mathbb{G}(m,K^{n})$. We compute the tangent space to
$\mathbb{G}_{\phi}([W],V)$, and we study the structure of
$\mathbb{G}_{\phi}([W],V)$...
161.
