Lie Algebras of Finite and Affine Type

By R. Carter. 2005

338 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Lie groups, Lie algebras, and their representations (2015, background): “Other sources that treat the material in these notes are [1], [2], [4], [9] and [7].”
Biderivations of finite-dimensional complex simple Lie algebras (2016, background): “The full root system Φ for each finite dimensional complex simple Lie algebra is well known (see [6]) and it can be listed as: Al : Φ = {βi − βj |i, j = 1, 2, · · · , l + 1, i 6= j}, (l ≥ 1), Bl : Φ = {±βi ± βj ,±βi|i, j = 1, · · · , l, i 6= j}, (l ≥ 2), Cl : Φ = {±βi ± βj ,±2βi|i, j = 1, · · · , l,”
Semi-Infinite Highest Weight Categories (2018, methodology): “We briefly recall the setup referring to [Kac], [Car] for more details.”