[algebra]
[Lie algebras]
[group theory]
[symbolic computations]
[linear algebra]
[history]
[TeX]
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The belief that all simple objects in the nature are controlled by the Coxeter groups
is a kind of religion.
V.I. Arnold
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finite-dimensional (semi)simple Lie algebras of characteristic 0
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Tony Smith's huge collections of material on
classical and exceptional
Lie, Jordan, Clifford, octonion, algebras and groups, symmetric spaces, etc...;
particulary, on graded Lie
algebras.
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E8:
sci.physics.research thread "Structures preserved by e_8"
(gradings in simple Lie algebras, exceptional algebras, KKT construction, etc.)
Kostant on E8.
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The Atlas of Lie Groups and Representations:
[umd.edu]
[liegroups.org]
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Lattice of subalgebras of so(1,3)
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Chameleon problem
and the root system of type A_2 by Ignat Soroko.
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Invariant tensors and recurrent formulas.
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The Unipotent Muffin Research Kitchen
- a database.
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Пьер Менар, автор теоремы Пифагора
by kapahel.
computations
GAP:
other:
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Pavel Grozman's SuperLie
Mathematica package.
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LiE
[open source]
Computations in classical Lie algebras and Lie groups.
online interface.
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simplie - computations in and
visualization of root systems of classical and Kac-Moody Lie algebras, Java-based.
created Feb 20 2004
last modified Wed Nov 23 15:43:36 EET 2011