.. Documentation index The ``dual_pairs`` package ========================== The `SageMath`_ package ``dual_pairs`` implements computations with finite locally free group schemes and Galois representations in the form of *dual pairs of algebras*. See the preprint `Dual pairs of algebras and finite commutative group schemes`_ for details. .. _`SageMath`: http://www.sagemath.org/ .. _`Dual pairs of algebras and finite commutative group schemes`: https://arxiv.org/abs/1709.09847 Author ------ Peter Bruin Installation ------------ The package can be installed using ``$ sage --pip install dual_pairs`` Source code ----------- The source code is available at . Documentation of the modules ============================ The documentation pages in the table below are automatically generated from the source code. Dual pairs of algebras ---------------------- .. toctree:: :maxdepth: 2 dual_pair dual_pair_from_dihedral_field dual_pair_from_table dual_pair_import dual_pair_rational Finite flat algebras -------------------- .. toctree:: :maxdepth: 2 finite_flat_algebra finite_flat_algebra_element finite_flat_algebra_module class_group unit_group selmer_group Torsors and extension groups ---------------------------- .. toctree:: :maxdepth: 2 ext_group torsor_class_group torsor_pair abelian_sheaf simplicial_sheaf Miscellaneous ------------- .. toctree:: :maxdepth: 2 abelian_group_homomorphism extensions group_structure padic_roots smith_form Indices and tables ================== * :ref:`genindex` * :ref:`modindex` * :ref:`search`