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Families of finite-dimensional Hopf algebras with the Chevalley property
Families of finite-dimensional Hopf algebras Chevalley property
2011/1/17
We introduce and study families of finite-dimensional Hopf algebras with the Chevalley property arising as twistings of quantum linear spaces. These Hopf algebras generalize the examples introduced in...
Gamma-convergence results for phase-field approximations of the 2D-Euler Elastica Functional
Relaxation Singular Perturbation Geometric Measure
2010/12/14
We establish some new results about the -limit, with respect to the L1-topology, of two di erent (but related) phase- eld approximations of the so-called Euler's Elastica Bending Energy for ...
We prove Ma˜n´e’s conjectures ([Mn96]) in the context of codimension one Aubry-Mather theory
For a class of nonnegative, range-1 pair potentials in one dimensional continuous space we prove that any classical ground state of lower density 1 is a tower-lattice, i.e., a lattice formed by towe...
A local stochastic Lipschitz condition with application to Lasso for high dimensional generalized linear models
Lasso sparsity measure concentration generalized linear models
2010/11/30
For regularized estimation, the upper tail behavior of the random Lipschitz coefficient asso-
ciated with empirical loss functions is known to play an important role in the error bound of
Lasso for ...
This work is part of the Graded Ring Database project [GRDB],and is a sequel to [A0], [A] and [ABR]. We introduce a strategy based on Kustin–Miller unprojection [KM].
Sequences of Nilsson type appear in abundance in Algebraic Geometry, Enumerative Combinatorics,
Mathematical Physics and Quantum Topology. We give an elementary introduction on this subject,
includi...
Structure of semisimple Hopf algebras of dimension $p^2q^2$
semisimple Hopf algebra semisolvability character biproduct
2010/12/8
Let p, q be prime numbers with p4 < q, and k an algebraically closed field of characteristic 0. We show that semisimple Hopf algebras of dimension p2q2 can be constructed either from group algebras an...
The polynomial multidimensional Szemerédi Theorem along shifted primes
Arithmetic progressions higher degree uniformity multiple recurrence
2010/12/1
If ~q1, . . . , ~qm: Z → Zℓ are polynomials with zero constant terms and E ⊂Zℓ has positive upper Banach density, then we show that the set E ∩ (E − ~q1(p − 1)) ∩. . .∩(E...
Non-trivial elements in the Abel-Jacobi kernels of higher dimensional varieties
algebraic cycles Chow motives Hodge filtration intermediate Jacobian
2010/12/1
The purpose of this paper is to construct new non-trivial elements in the kernels of the Abel-Jacobi maps from the Chow groups of codimension p algebraic cycles to the p-th intermediate Jacobians on h...
The Gauss image of entire graphs of higher codimension and Bernstein type theorems
Gauss image entire graphs of higher codimension Bernstein type theorems
2010/12/9
Under suitable conditions on the range of the Gauss map of a complete submanifold of Euclidean space with parallel mean curvature, we construct a strongly subharmonic function and derive a-priori esti...
Phase transition in the 3-D massive Gross-Neveu model
Phase transition 3-D massive Gross-Neveu model
2010/12/16
We consider the 3-dimensional massive Gross-Neveu model at finite temperature as an
effective theory for strong interactions. Using the Matsubara imaginary time formalism, we derive a closed form for...
We study some properties of a class of random connected planar fractal sets induced by a
Poissonian scale-invariant and translation-invariant point process. Using the second-moment
method, we show t...
Simultaneous Embeddings of Finite Dimensional Division Algebras
Simultaneous Embeddings Finite Dimensional Division Algebras
2010/12/1
A celebrated theorem of P.M. Cohn [C] says that for any two division rings (not necessarily finite dimensional) over a field F, their amalgamated product over F is a domain which can be embedded in a ...
SU(5)-invariant decomposition of ten-dimensional Yang-Mills supersymmetry
SU(5)-invariant decomposition ten-dimensional Yang-Mills supersymmetry
2010/12/16
The N=1, d=10 superYang–Mills action is constructed in a twisted form, using SU(5) invariant decomposition of spinors in 10 dimensions. The action and its off-shell closed twisted scalar supersymmetry...