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_algebras14901
 Property Keywords days54 added

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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 KacMoody 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  KacMoody 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  KacMoody 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).