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Casimir preserving stochastic Lie–Poisson integrators
Casimir preserving integrators for stochastic Lie–Poisson equations with Stratonovich noise are developed, extending Runge–Kutta Munthe-Kaas methods....
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The Lie Group SU(2,1) and Subgroups
The aim of this work is to understand the modules involved in the Fourier expansions of functions on...
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Weighted Karcher means on unipotent Lie groups
A substantial theory of the Karcher mean exists in the settings of Riemannian manifolds and positive matrix and operator spaces. Here a general...
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Logarithmic Sobolev-Type Inequalities on Lie Groups
In this paper we show a number of logarithmic inequalities on several classes of Lie groups: log-Sobolev inequalities on general Lie groups,...
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Lie hyperalgebras
We define the Lie hyperalgebra of a Lie hypergroup as the smallest (possibly infinite dimensional) Lie algebra containing left invariant vector...
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Three dimensional Lie groups of scalar Randers type
If a Lie group admits a left invariant Randers metric of scalar flag curvature, then it is called of scalar Randers type. In this paper we determine...
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Harmonic almost complex structures on almost abelian Lie groups and solvmanifolds
An almost abelian Lie group is a solvable Lie group with a codimension one normal abelian subgroup. We characterize almost Hermitian structures on...
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THE ASYMPTOTIC SEMIGROUP OF A SUBSEMIGROUP OF A NILPOTENT LIE GROUP
Let S be a subsemigroup of a simply connected nilpotent Lie group G . We construct an asymptotic semigroup S 0 in the associated graded Lie group G 0 of G ...
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Uncertainty inequalities for certain connected Lie groups
Pitt’s inequality for exponential solvable Lie groups with non-trivial center, connected nilpotent Lie groups with non-compact center, Heisenberg...
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Lie Groups
In this chapter we discuss the differential geometry of Riemannian manifolds equipped with a group structure, i.e., the differential geometry of Lie...
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Morse theory on Lie groupoids
In this paper we introduce Morse Lie groupoid morphisms and study their main properties. We show that this notion is Morita invariant which gives...
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Szegö kernel equivariant asymptotics under Hamiltonian Lie group actions
Suppose that a compact and connected Lie group G acts on a complex Hodge manifold M in a holomorphic and Hamiltonian manner, and that the action...
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Finite Dimensional Lie Algebras
Another fertile field to explore the link between algebraic relations of the matrices and the properties of their characteristic polynomial is where...
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Decomposition of Linear Systems on Disconnected Lie Groups
This manuscript studies the global dynamics of a linear system on a disconnected Lie group. It shows that the connected components of the equilibria...
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Unimodular Sasaki and Vaisman Lie groups
In our previous work (Alekseevsky et al., Nagoya Math J 8:1–14, 2019), applying the technique of modification, all homogeneous Sasaki and Vaisman...
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Entropy Generation in Magnetohydrodynamics Flow of Hybrid Casson Nanofluid in Porous Channel: Lie Group Analysis
The choice of thermoliquids plays an important role in enhancing the thermal efficiency. The primary aim of this study is to quantify the amount of...
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On bounded paradoxical sets and Lie groups
We will prove that any non-empty open set in every complete connected metric space ( X , d ), where balls have compact closures, contains a paradoxical...
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Moduli of Lie p-algebras
In this paper, we study moduli spaces of finite-dimensional Lie algebras with flat center, proving that the forgetful map from Lie p -algebras to Lie...
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Post-groups, (Lie-)Butcher groups and the Yang–Baxter equation
The notions of a post-group and a pre-group are introduced as a unification and enrichment of several group structures appearing in diverse areas...
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Character Sheaves for Classical Graded Lie Algebras
In this note we study character sheaves for graded Lie algebras arising from inner automorphisms of special linear groups and Vinberg’s type II...