Abstract
Let be a finite-dimensional Nichols algebra of diagonal type corresponding to a matrix . Let be the Lusztig algebra associated to . We present as an extension (as braided Hopf algebras) of by where is isomorphic to the universal enveloping algebra of a Lie algebra . We compute the Lie algebra when .
Citation
Nicolás Andruskiewitsch. Iván Angiono. Fiorela Rossi Bertone. "A finite-dimensional Lie algebra arising from a Nichols algebra of diagonal type (rank 2)." Bull. Belg. Math. Soc. Simon Stevin 24 (1) 15 - 34, march 2017. https://doi.org/10.36045/bbms/1489888813