Finite‐dimensional global attractor for a semi‐discrete fractional nonlinear Schrödinger equation
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DOI: 10.1002/mma.4409
Abstract: We consider a semi-discrete in time Crank–Nicolson scheme to discretize a weakly damped forced nonlinear fractional Schrodinger equation ut−i(−Δ)αu+i|u|2u+γu=f for α∈(12,1) considered in the the whole space R. We prove that such semi-discrete equation provides… read more here.
Keywords: finite dimensional; semi discrete; global attractor; dimensional global ... See more keywords
The Automorphisms Group and the Classification of Gradings of Finite Dimensional Associative Algebras
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DOI: 10.1007/s00025-021-01509-z
Abstract: Let A be an n-dimensional algebra over a field k and a(A) its quantum symmetry semigroup. We prove that the automorphisms group AutAlg(A) of A is isomorphic to the group U ( G(a(A)) ) of… read more here.
Keywords: finite dimensional; group; gradings finite; classification gradings ... See more keywords
Decomposing moduli of representations of finite-dimensional algebras
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DOI: 10.1007/s00208-018-1687-7
Abstract: Consider a finite-dimensional algebra A and any of its moduli spaces $${{\mathcal {M}}}(A,\mathbf {d})^{ss}_{\theta }$$M(A,d)θss of representations. We prove a decomposition theorem which relates any irreducible component of $${{\mathcal {M}}}(A,{\mathbf {d}})^{ss}_{\theta }$$M(A,d)θss to a product… read more here.
Keywords: finite dimensional; moduli representations; moduli spaces; representations finite ... See more keywords
Finite Dimensional State Representation of Linear and Nonlinear Delay Systems
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DOI: 10.1007/s10884-017-9611-5
Abstract: We consider the question of when delay systems, which are intrinsically infinite dimensional, can be represented by finite dimensional systems. Specifically, we give conditions for when all the information about the solutions of the delay… read more here.
Keywords: state representation; finite dimensional; delay; delay systems ... See more keywords
Finite-Dimensional Approximations of the Steklov–Poincaré Operator for the Helmholtz Equation in Periodic Waveguides
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DOI: 10.1007/s10958-018-3890-1
Abstract: We consider the Dirichlet and Neumann problems for the Laplace operator in periodic waveguides. Integro-differential connections between the solution and its normal derivative, interpreted as a finite-dimensional version of the Steklov–Poincaré operator, are imposed on… read more here.
Keywords: steklov poincar; finite dimensional; poincar operator; periodic waveguides ... See more keywords
Finite-dimensional modules of the universal Askey–Wilson algebra and DAHA of type $$(C_1^\vee ,C_1)$$
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DOI: 10.1007/s11005-021-01422-0
Abstract: Assume that $\mathbb F$ is an algebraically closed field and let $q$ denote a nonzero scalar in $\mathbb F$ that is not a root of unity. The universal Askey--Wilson algebra $\triangle_q$ is a unital associative… read more here.
Keywords: algebra; mathfrak; universal askey; askey wilson ... See more keywords
Finite dimensional modules over quantum toroidal algebras
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DOI: 10.1007/s11464-020-0846-9
Abstract: For all generic q ∈ ℂ*, when $$\mathfrak{g}$$ g is not of type A 1 , we prove that the quantum toroidal algebra $$U_q(\mathfrak{g}_{\rm{tor}})$$ U q ( g t o r ) has no nontrivial… read more here.
Keywords: finite dimensional; modules quantum; quantum toroidal; toroidal algebras ... See more keywords
Finite dimensional groups of local diffeomorphisms
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DOI: 10.1007/s11856-018-1729-6
Abstract: We are interested in classifying groups of local biholomorphisms (or even formal diffeomorphisms) that can be endowed with a canonical structure of algebraic groups and their subgroups. Such groups are called finitedimensional. We obtain that… read more here.
Keywords: groups local; finite dimensional; dimensional groups; local diffeomorphisms ... See more keywords
Finite-dimensional observer-based controller for linear 1-D heat equation: an LMI approach
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DOI: 10.1016/j.ifacol.2020.12.1360
Abstract: Abstract The objective of the present paper is finite-dimensional observer-based control of 1-D linear heat equation with constructive and easily implementable design conditions. We propose a modal decomposition approach in the cases of bounded observation… read more here.
Keywords: finite dimensional; dimensional observer; approach; observer ... See more keywords
Polynomial codimension growth of algebras with involutions and superinvolutions
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DOI: 10.1016/j.jalgebra.2016.10.007
Abstract: Abstract Let A be an associative algebra over a field F of characteristic zero endowed with a graded involution or a superinvolution ⁎ and let c n ⁎ ( A ) be its sequence of… read more here.
Keywords: finite dimensional; polynomial growth; involutions superinvolutions; codimension growth ... See more keywords
Deformations of complexes for finite dimensional algebras
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DOI: 10.1016/j.jalgebra.2017.08.003
Abstract: Abstract Let k be a field and let Λ be a finite dimensional k-algebra. We prove that every bounded complex V • of finitely generated Λ-modules has a well-defined versal deformation ring R ( Λ… read more here.
Keywords: finite dimensional; algebra; deformations complexes; complexes finite ... See more keywords