Changes between Version 4 and Version 19 of Ticket #14901
- Timestamp:
- 12/11/13 07:19:08 (8 years ago)
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Ticket #14901
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#10963
to#10963 #14898 #15151 #15289 #15384
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public/algebras/lie_algebras-14901
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84b241fc071155f21f29c7169b45a6505a02bb23
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enhancement
totask
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Ticket #14901 – Description
v4 v19 11 11 - In the Chevalley basis 12 12 - '''gl''',,n,, 13 - The Lie algebra of strictly upper triangular matrices14 - The Lie algebra of upper triangular matrices15 13 - Untwisted affine Lie algebras constructed from a finite type 16 14 - Untwisted affine Kac-Moody Lie algebras (i.e. the above and the Lie derivative) 17 15 - Universal enveloping algebras 16 * PBW bases 17 - Quotient, sub, and direct sum Lie algebras and Lie algebra ideals 18 - Other examples: 19 * Upper triangular matrices 20 * Strictly upper triangular matrices 21 * Heisenberg algebra 22 * Witt algebra 23 * Virasoro algebra 24 * Some nilpotent Lie algebras 25 - The Lyndon basis for the free Lie algebra 26 - Kac-Moody algebras based only on a (generalized) Cartan matrix 27 - Fock space #15508 18 28 19 29 There might also be the following: 20 30 21 - The Lyndon basis for the free Lie algebra22 31 - '''su''',,n,, 23 - Kac-Moody algebras based only on a (generalized) Cartan matrix 32 - recovery of Lie group from Lie algebra 33 - connection between the quantum group and the Hall algebra (coming from representations of a quiver over Fq) 24 34 25 35 With this, one will be able to do basic computations, as well as compute things such as the lower central series (depending on the type).