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[sage.d.git] / mjo / eja / euclidean_jordan_algebra.py

2019-07-29	Michael Orlitzky	eja: finally enable tests for the trace inner product.	blob \| commitdiff \| raw
2019-07-29	Michael Orlitzky	eja: use charpoly coefficients to implement det() for...	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: implement element trace in terms of charpoly coeff...	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: refactor the charpoly implementation... it's magic...	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: use the @cached_method decorator for characteristi...	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: use the standard basis in characteristic_polynomial().	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: switch to the "real" element characteristic_polyno...	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: get the characteristic_polynomial() for EJAs working.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: add apply_univariate_polynomial() for elements...	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: use different bounds for "n" in the random_eja...	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: use 't' for the minimal polynomial variable name.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: begin to stub out a characteristic_polynomial...	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: store the EJA multiplication table as a temporary...	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: do an extra ambient_vector_space() in one method...	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: simplify (and cite) the minimal_polynomial() imple...	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: simplify is_invertible() for elements.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: turn the eja_rn() constructor into a class too.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: drop the inner_product argument to the EJA constru...	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: turn the other simple EJA constructors into classes.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: rename JordanSpinAlgebra to JordanSpinEJA.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: turn the spin algebra constructor into a subclass.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: test that complex/quaternion embeddings are homomo...	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: get the quaternions working.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: add two more tests to ensure the Jordan product...	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: add quaternion -> real matrix embedding.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: fix complex-unembedding with respect to 5537f4534.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: make the complex embedding agree with the docs.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: text the inner product axiom of an EJA.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: support conversion of naturally-represented elemen...	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: factor out mat2vec() and vec2mat() helper functions.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: add matrix inner products, and factor out the...	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: replace nonexistent ArgumentError class.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: finally give Euclidean Jordan algebras an inner...	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: fix alphabetical ordering of element methods.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: add natural_representation() for elements.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: maintain a "natural basis" for EJAs.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: rename matrix() to operator_matrix().	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: define operator_matrix() to eventually replace...	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: add operator_commutes_with() for elements.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: add a test for power-operator-commutativity.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: remove pointless abs() calls.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: add polarization-identity and power-associativity...	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: add an inverse() example.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: add element inverse() and is_invertible().	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: add more quadratic representation tests.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: fix the dimension of the complex Hermitian simple...	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: add a test for the degree of Sn.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: replace eja_ln() and eja_sn() with their new names.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: add ComplexHermitianSimpleEJA to random_eja().	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: begin implementing the complex hermitian simple...	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: pass a dimension to a matrix() constructor for...	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: fix screwup introduced in 5d147bd962.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: add a function to embed complex matrices in (bigge...	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: add placeholder constructors for all simple EJAs.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: factor out the ugly bits of constructing simple...	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: add non-working trace_inner_product() for EJA...	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: add quadratic_representation() for elements.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: use random_eja() where applicable in tests.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: don't test for element matrix() symmetry (I don...	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: fix the basis order for Sn.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: add missing set_random_seed() call.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: add the random_eja() function.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: add a comment about row/column vectors to eja_sn().	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: add the simple algebra S^n.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: add det() and trace() for regular elements.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: de-implement characteristic_polynomial for irregul...	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: put element methods in alphabetical order.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: add is_regular() method on elements.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: fix element matrices.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: fix element powers.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: add doctest for a bug in subalgebra_generated_by().	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: add currently-busted subalgebra_idempotent() method.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: use different generator names in subalgebras.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: add is_nilpotent() for elements.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: recurse more directly in minimal_polynomial().	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: use the associativity of one-generator subalgebras.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: fix the rank of the spin factor algebra.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: remove symmetry test that don't work.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: rewrite the classcall/init process.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: implement a working minimal_polynomial().	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: add subalgebra_generated_by() method.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: add another test for degree().	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: test that left-mult matrices are symmetric.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: add span_of_powers() method.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: remove an erroneous comment.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: begin implementing an element class.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: implement my own algebra subclass.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: fix field arguments, add comment.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: add eja_minimal_polynomial() function.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: add eja_ln() for the rank-two algebra.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: add examples for eja_rn.	blob \| commitdiff \| raw \| diff to current
2019-07-29	Michael Orlitzky	eja: begin draft implementation of euclidean jordan...	blob \| commitdiff \| raw \| diff to current

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