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math.DG2022
Klein geometries of high order
Ercüment H. Ortaçgil
Using irreducible representations of semi simple Lie algebras, we construct Klein geometries of arbitrarily high order.
math.DG2022
On Hadwiger-Alesker finiteness theorem
Ercüment Ortaçgil
We study the Hadwiger-Alesker finiteness theorem from the standpoint of Lie theory and announce a generalization.
math.DG2022
The structure constants of geometric structures on a local Lie group
Ercüment H. Ortaçgil
We define the structure constants of almost complex, almost symplectic and Riemannian structures on a local Lie group