A5103249015- Advanced Topics in Algebra
- Algebraic structures and combinatorial models
- Nonlinear Waves and Solitons
- Homotopy and Cohomology in Algebraic Topology
- Advanced Algebra and Geometry
- Algebraic Geometry and Number Theory
- Geological and Geochemical Analysis
- Mathematics and Applications
- Advanced Mathematical Theories and Applications
- Finite Group Theory Research
- Algebraic and Geometric Analysis
- Labor market dynamics and wage inequality
- Particle Dynamics in Fluid Flows
- Atmospheric aerosols and clouds
- Commutative Algebra and Its Applications
- Geochemistry and Geologic Mapping
- History and Theory of Mathematics
- Digital Image Processing Techniques
- Algorithms and Data Compression
- Geomagnetism and Paleomagnetism Studies
- Rings, Modules, and Algebras
- Biometric Identification and Security
- demographic modeling and climate adaptation
- Coagulation and Flocculation Studies
- earthquake and tectonic studies
University of South-Eastern Norway
2017-2024
Uppsala University
2007-2018
Vestfold University College
2014
OsloMet – Oslo Metropolitan University
2009
Numerical Method (China)
2005-2006
Lund University
2001-2006
Faculty (United Kingdom)
2004
Abstract In this article we apply a method devised in Hartwig, Larsson, and Silvestrov (Citation2006) Larsson (Citation2005a) to the simple 3-dimensional Lie algebra 𝔰𝔩2(𝔽). One of main points deformation is that deformed comes endowed with canonical twisted Jacobi identity. We show present when our scheme applied 𝔰𝔩2(𝔽) can, by choosing parameters suitably, deform into Heisenberg some other algebras addition more exotic types algebras, being stark contrast classical schemes where rigid. Key...
Ultra-bright femtosecond X-ray pulses generated by free-electron lasers (XFELs) can be used to image high-resolution structures without the need for crystallization. For this approach, aerosol injection has been a successful method deliver 70–2000 nm particles into XFEL beam efficiently and at low noise. Improving technique of sample delivery extending it single proteins necessitates quantitative diagnostics. Here lab-based is introduced Rayleigh-scattering microscopy allowing us track size...
This paper explores the quasi-deformation scheme devised by Hartwig, Larsson and Silvestrov as applied to simple Lie algebra sl2(F). One of main points this method is that quasi-deformed comes endowed with a canonical twisted Jacobi identity. We show in present article when sl2(F) via representations derivations on F[t]/(tN) one obtains interesting new multi-parameter families almost quadratic algebras.
In this paper we apply a method devised in \cite{HartLarsSilv1D,LarsSilv1D} to the three-dimensional simple Lie algebra $\sll$. One of main points deformation is that deformed comes endowed with canonical twisted Jacobi identity. We show present when our scheme applied $\sll$ can, by choosing parameters suitably, deform into Heisenberg and some other algebras addition more exotic types algebras, being stark contrast classical schemes where rigid. The resulting are quadratic point out...
This paper is devoted to an extension of Burchnall-Chaundy theory on the interplay between algebraic geometry and commuting differential operators case q-difference operators.
Abstract Small deposits of rare Al-phosphates, rutile and abundant kyanite occur at Hålsjöberg, Diksberg, Hökensås Västanå in southern Sweden. Gradual transitions between magmatic rocks high alumina consisting quartz, kyanite, Al-phosphates have been noted Hålsjöberg Hökensås. These reveal that hydrothermal leaching formed the assemblage a process where alkalis other rock forming elements leached, leaving residual mainly composed minerals quartz. A partly amphibolitised dolerite cuts...
A classical theorem of J. L. Burchnall and T. W. Chaundy shows that two commuting differential operators P Q give rise, via a resultant, to complex algebraic curve with equation F (x, y) = 0, such formally inserting for x y in , gives identically zero. In addition, the points on this have coordinates which are exactly eigenvalues associated (see Introduction more precise statement). paper, we prove generalization result using resultants Ore extensions.
In early modern Scandinavia, the population's sensitivity to disease and food supply shortages was great. Researchers have long been interested in crises caused by these conditions, dominant causes of death well documented Sweden since late eighteenth century. But for seventeenth century, mortality regime preceding initial stage demographic transition, our understanding infectious diseases is significantly limited. Through an analysis tithe levels, this article gives new insight regarding...
This paper explores the quasi-deformation scheme devised in [1,3] as applied to simple Lie algebra sl 2 (F) for specific choices of involved parameters and underlying algebras.One main points this method is that quasi-deformed comes endowed with a canonical twisted Jacobi identity.We show present article when one obtains multiparameter families almost quadratic algebras, by choosing suitably, into three-dimensional four-dimensional algebras closely resembling superalgebras colour being stark...
This paper is concerned with the construction of a small, but non-trivial, example polynomial identity algebra, which we call Jackson that will be used in sequels to this study non-commutative arithmetic geometry. In algebra studied from ring-theoretic and geometric viewpoint. Among other things it turns out "non-commutative family" central simple algebras thus parameterizes Brauer classes over extensions base.
This paper is concerned with explaining and further developing the rather technical definition of a hom-Lie algebra given in previous which was an adaption ordinary to language number theory arithmetic geometry.To do this we here introduce notion Witt-hom-Lie algebras give interesting applications, both Lie case case.The ends discussion few possible applications developed language.
This paper is concerned with explaining and further developing the rather technical definition of a hom-Lie algebra given in previous which was an adaption ordinary to language number theory arithmetic geometry.To do this we here introduce notion Witt-hom-Lie algebras give interesting applications, both Lie case case.The ends discussion few possible applications developed language.
Hom-Lie algebras are non-associative generalizing Lie by twisting the Jacobi identity an endomorphism. The main examples of twisted derivations (i.e., linear maps with a generalized Leibniz rule). Such seem to pop up in different guises many parts number theory and arithmetic geometry. In fact, any place something like $\mathrm{id}-ϕ$, where $ϕ$ is (possibly extended to) ring morphism, appears, such as $p$-adic Hodge theory, Iwasawa e.t.c., there derivation hiding. Therefore, hom-Lie appear...