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Spectral action for scalar perturbations of Dirac operators
spectral geometry noncommutative geometry
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2011/2/22
We investigate the leading terms of the spectral action for odd-dimensional Riemannian spin manifolds with the Dirac operator perturbed by a scalar function.
Symmetric Invariant Subspaces of Complexifications of Linear Operators
Symmetric Invariant Subspaces Complexifications of Linear Operators
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2011/2/22
Let T : X → X be a linear operator on a complex Banach space. Denote by (T ) and R(, T ) its spectrum and resolvent.
Triangular decomposition of right coideal subalgebras
Hopf algebra coideal subalgebra PBW-basis
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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...
The AKNS Hierarchy Integrability Analysis Revisited: The Vertex Operator Approach and its Lie-Algebraic Structure
the AKNS hierarchy Lax type integrability Lie-algebraic approach
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2011/3/2
A regular approach to studying the Lax type integrability of the AKNS hierarchy of nonlinear Lax type integrable dynamical systems in the vertex operator representation is devised.
Eigenvalue estimates for singular left-definite Sturm-Liouville operators
turm-Liouville operator left-definite eigenvalue estimate
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2011/2/23
The spectral properties of a singular left-definite Sturm-Liouville operator JA are investigated and described via the properties of the corresponding right-definite selfadjoint counterpart A which is...
The AKNS Hierarchy Integrability Analysis Revisited: The Vertex Operator Approach and its Lie-Algebraic Structure
the AKNS hierarchy Lax type integrability Lie-algebraic approach vertex operators
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2010/12/28
A regular approach to studying the Lax type integrability of the AKNS hierarchy of nonlinear Lax type integrable dynamical systems in the vertex operator representation is devised.
Vertex operator algebras associated to modified regular representations of the Virasoro algebra
Vertex operator algebras modified regular representations Virasoro algebra
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2011/2/28
We give an abstract construction, based on the Belavin-Polyakov-Zamolodchikov equations, of a
family of vertex operator algebras of rank 26 associated to the modified regular representations of the V...
Operator algebra quantum homogeneous spaces of universal gauge groups
quantum groups quantum homogeneous spaces universal gauge
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2011/3/1
In this paper, we quantize universal gauge groups such as SU(∞), as well as their homogeneous spaces, in the -C-algebra setting.
On the Approximation of Nonlinear Evolution Equations in Particular C*-Algebras of Operators
Nonlinear Evolution Equations Particular C*-algebras Discretizable Hilbert spaces
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2011/2/25
In this article we deal with the approximation of solutions of non-linear evolution equations of the form A(u(t))+f(u(t)) = u′(t), the numerical analysis of solutions to this problems will be performe...
Abstract Wave Equations and Associated Dirac-Type Operators
Dirac operators supersymmetry wave equations semigroups
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2011/2/25
We discuss the unitary equivalence of generators GA,R associated with abstract damped wave equations of the type u¨+Ru˙ +AAu = 0 in some Hilbert space H1 and certain non-self-adjoint Dirac-type opera...
Boundary values in range spaces of co-analytic truncated Toeplitz operators
Continuation Model spaces Toeplitz operators Truncated Toeplitz operators
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2011/2/22
Functions in backward shift invariant subspaces have nice analytic continuation properties outside the spectrum of the inner function defining the space. Inside the spectrum of the inner function.
Spectrum of the Wilson Dirac Operator at Finite Lattice Spacings
Spectrum Wilson Dirac Operator Finite Lattice Spacings
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2011/3/2
We consider the effect of discretization errors on the microscopic spectrum of the Wilson Dirac
operator using both chiral Perturbation Theory and chiral Random Matrix Theory. A graded
chiral Lagran...
Universal commutative operator algebras and transfer function realizations of polynomials
Universal commutative operator algebras transfer function realizations of polynomials
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2010/12/15
To each finite-dimensional operator space E is associated a commutative operator algebra UC(E), so that E embeds completely isometrically in UC(E) and any completely contractive
map from E to bounded...
Chiral differential operators and topology
Chiral differential operators topology
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2010/12/14
The first part of this paper provides a new formulation of chiral differential operators (CDOs) in terms of global geometric quantities. The main result is a recipe to define essentially all sheaves o...
Random Block Operators
Random Block Operators
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2010/12/9
We study fundamental spectral properties of random block operators that are common in the physical modelling of mesoscopic disordered systems such as dirty superconductors.