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Implement the center of a universal enveloping algebra in the PBW basis #37013

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merged 8 commits into from
Mar 25, 2024
Merged

Implement the center of a universal enveloping algebra in the PBW basis #37013

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4b5848a
Allow returning all Casimir elements of a fixed order.
tscrim Dec 30, 2023
daf2847
Implementing the center of a PBW basis of finite dimensional Lie alge…
tscrim Jan 4, 2024
352bc77
Fixing the linter; updating and adding some doctests.
tscrim Jan 4, 2024
4f929a7
Fixing some details and doctests.
tscrim Jan 9, 2024
4ffbe41
Fixing doctest failures due to changes in the plural ring implementat…
tscrim Feb 21, 2024
90b5502
Fixing typo.
tscrim Mar 18, 2024
6f50822
Fixing typos.
tscrim Mar 19, 2024
025b921
Merge branch 'develop' into lie_algebras/enveloping_center
tscrim Mar 19, 2024
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1 change: 1 addition & 0 deletions src/doc/en/reference/algebras/lie_algebras.rst
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Expand Up @@ -7,6 +7,7 @@ Lie Algebras
sage/algebras/lie_algebras/abelian
sage/algebras/lie_algebras/affine_lie_algebra
sage/algebras/lie_algebras/bch
sage/algebras/lie_algebras/center_uea
sage/algebras/lie_algebras/classical_lie_algebra
sage/algebras/lie_algebras/examples
sage/algebras/lie_algebras/free_lie_algebra
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5 changes: 5 additions & 0 deletions src/doc/en/reference/references/index.rst
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Expand Up @@ -4778,6 +4778,11 @@ REFERENCES:
.. [MoPa1994] \P. Morton and P. Patel. The Galois theory of periodic points
of polynomial maps. Proc. London Math. Soc., 68 (1994), 225-263.

.. [Motsak2006] Olekasandr Motsak. *Computation of the central elements and
centralizers of sets of elements in non-commutative polynomial
algebras*. PhD Thesis, 2006.
https://kluedo.ub.rptu.de/frontdoor/deliver/index/docId/2308/file/Thesis.pdf

.. [MP2019] \M. Montes, D. Penazzi
"Yarara and Coral v1"
https://csrc.nist.gov/CSRC/media/Projects/Lightweight-Cryptography/documents/round-1/spec-doc/yarara_and_coral-spec.pdf
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