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Incidence monoids: automorphisms and complexity
The algebraic monoid structure of an incidence algebra is investigated. We show that the multiplicative structure alone determines the algebra...
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Matsushima–Lichnerowicz type theorems of Lie algebra of automorphisms of generalized Kähler manifolds of symplectic type
In Kähler geometry, Fujiki–Donaldson show that the scalar curvature arises as the moment map for Hamiltonian diffeomorphisms. In generalized Kähler...
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Hall’s universal group is a subgroup of the abstract commensurator of a free group
P. Hall constructed a universal countable locally finite group U , determined up to isomorphism by two properties: every finite group C is a subgroup...
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Order 3 symplectic automorphisms on K3 surfaces
The aim of this paper is to generalize results known for the symplectic involutions on K3 surfaces to the order 3 symplectic automorphisms on K3...
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Automorphisms and the Canonical Ideal
The automorphism group of a curve is studied from the viewpoint of the canonical embedding and Petri’s theorem. A criterion for identifying the...
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Arithmetic hyperbolicity: automorphisms and persistence
We show that if the automorphism group of a projective variety is torsion, then it is finite. Motivated by Lang’s conjecture on rational points of...
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Group Homomorphisms and Isomorphic Groups
In this chapter, maps between two groups called homomorphisms are presented and discussed . The bijective versions of these maps, isomorphisms, are...
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WHEN IS THE AUTOMORPHISM GROUP OF AN AFFINE VARIETY NESTED?
For an affine algebraic variety X , we study the subgroup Aut alg ( X ) of the group of regular automorphisms Aut( X ) of X generated by all the connected...
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Nonlinearizable CR Automorphisms for Polynomial Models in \(\mathbb C^N\)
The Lie algebra of infinitesimal CR automorphisms is a fundamental local invariant of a CR manifold. Motivated by the Poincaré local equivalence...
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Orbits of the Automorphism Group of Horospherical Varieties, and Divisor Class Group
AbstractIn 2013 Bazhov proved a criterion for two points on a complete toric variety to lie in the same orbit of the neutral component of the...
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Finite Dimensional Group Representations
Algebraic relations among matrices, if any, are encapsulated in their characteristic polynomial. How to decipher this information thus becomes an...
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The Third Cohomology 2-Group
In this paper we show that a finite product preserving opfibration can be factorized through an opfibration with the same property, but with...
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Sub-Riemannian Geodesics on the Multidimensional Heisenberg Group
In this paper, we study the structure of truncated connections on the multidimensional Heisenberg group endowed with a left-invariant sub-Riemannian...
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