Orbispaces, orthogonal spaces, and the universal compact Lie group
Sign Up to like & getrecommendations! Published in 2019 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-019-02265-1
Abstract: This paper identifies the homotopy theories of topological stacks and orbispaces with unstable global homotopy theory. At the same time, we provide a new perspective by interpreting it as the homotopy theory of ‘spaces with… read more here.
Keywords: lie group; universal compact; homotopy; compact lie ... See more keywords
The structure of Cartan subgroups in Lie groups
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DOI: 10.1007/s00209-021-02704-y
Abstract: We study properties and the structure of Cartan subgroups in a connected Lie group. We obtain a characterisation of Cartan subgroups which generalises Wustner's structure theorem for the same. We show that Cartan subgroups are… read more here.
Keywords: cartan subgroups; structure cartan; lie group; group ... See more keywords
Lie Group Classification for a Class of Compound KdV–Burgers Equations with Time-Dependent Coefficients
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Applied and Computational Mathematics"
DOI: 10.1007/s40819-020-00931-1
Abstract: We derive the Lie group classification for a general class of KdV–Burgers equations, where the coefficients are functions of time. We demonstrate how important is the use of equivalence transformations prior the group classification. These… read more here.
Keywords: lie group; burgers equations; group; kdv burgers ... See more keywords
Wave front sets of reductive Lie group representations III
Sign Up to like & getrecommendations! Published in 2017 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2017.03.025
Abstract: Abstract Let G be a real, reductive algebraic group, and let X be a homogeneous space for G with a non-zero invariant density. We give an explicit description of a Zariski open, dense subset of… read more here.
Keywords: lie group; group; wave front; sets reductive ... See more keywords
Finite and infinite dimensional Lie group structures on Riordan groups
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DOI: 10.1016/j.aim.2017.08.033
Abstract: Abstract We introduce a Frechet Lie group structure on the Riordan group. We give a description of the corresponding Lie algebra as a vector space of infinite lower triangular matrices. We describe a natural linear… read more here.
Keywords: lie group; lie; group; groups finite ... See more keywords
A modified Lie-group shooting method for multi-dimensional backward heat conduction problems under long time span
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Heat and Mass Transfer"
DOI: 10.1016/j.ijheatmasstransfer.2018.06.144
Abstract: Abstract This paper proposes a modified Lie-group shooting method to solve multi-dimensional backward heat conduction problems under long time spans. The backward heat conduction problem is renowned for being ill posed because the solutions are… read more here.
Keywords: lie group; shooting method; backward heat; group shooting ... See more keywords
Estimation of space-dependent thermophysical properties in participating media by using a Lie-group shooting method
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Heat and Mass Transfer"
DOI: 10.1016/j.ijheatmasstransfer.2018.08.095
Abstract: Abstract Estimation of space-dependent thermal conductivity and absorption coefficient in a one-dimensional participating medium was investigated in this study. For the forward problem, discrete ordinate method was used to solve the radiative transfer equation. The… read more here.
Keywords: lie group; space; group shooting; method ... See more keywords
Compact Lie group action with the continuous Rokhlin property
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Functional Analysis"
DOI: 10.1016/j.jfa.2016.10.002
Abstract: Abstract In this paper, we study the continuous Rokhlin property of C ⁎ -dynamical systems using techniques of equivariant KK-theory and quantum group theory. In particular, we determine the KK-equivalence class and give a classification… read more here.
Keywords: lie group; rokhlin property; group; compact lie ... See more keywords
Twisted equivariant K-theory of compact Lie group actions with maximal rank isotropy
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DOI: 10.1063/1.5036647
Abstract: We consider twisted equivariant K-theory for actions of a compact Lie group G on a space X where all the isotropy subgroups are connected and of maximal rank. We show that the associated rational spectral… read more here.
Keywords: lie group; maximal rank; group; compact lie ... See more keywords
Flat symplectic Lie algebras
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DOI: 10.1080/00927872.2023.2209671
Abstract: Let $(G,\Omega)$ be a symplectic Lie group, i.e, a Lie group endowed with a left invariant symplectic form. If $\G$ is the Lie algebra of $G$ then we call $(\G,\omega=\Om(e))$ a symplectic Lie algebra. The… read more here.
Keywords: lie; lie group; lie algebras; symplectic lie ... See more keywords
Simultaneous determination of the heat source and the initial data by using an explicit Lie-group shooting method
Sign Up to like & getrecommendations! Published in 2019 at "Numerical Heat Transfer, Part B: Fundamentals"
DOI: 10.1080/10407790.2019.1627809
Abstract: Abstract In this article, an explicit Lie-group shooting method (LGSM) is developed to solve the time-dependent heat source and the initial data for backward heat conduction problems. To recover both unknown data simultaneously, it is… read more here.
Keywords: heat; lie group; heat source; explicit lie ... See more keywords