mathematics, a quantum or quantized enveloping algebra is a q-analog of a universal enveloping algebra. Given a Lie algebra g {\displaystyle {\mathfrak...

called a deformation quantization of a {\displaystyle {\mathfrak {a}}} . A quantized enveloping algebra. The dual of such an algebra turns out to be an...

Albert algebra, an exceptional Jordan algebra that is not enveloped by the canonical construction of the enveloping algebra for Jordan algebras. List of...

equivalent but larger, namely a group algebra or a universal enveloping algebra, then a group algebra or enveloping algebra can be "deformed", although the...

representations of a quantized enveloping algebra of type A D E {\displaystyle ADE} and also for the plus part of that algebra was introduced by Lusztig...

category. Lusztig, George (1991), "Quivers, perverse sheaves, and quantized enveloping algebras", Journal of the American Mathematical Society, 4 (2): 365–421...

universal enveloping algebra of the Heisenberg algebra, the Lie algebra of the Heisenberg group, by setting the central element of the Heisenberg algebra (namely...

pp. 147–159 George Lusztig, Quivers, perverse sheaves, and quantized enveloping algebras, Journal of the American Mathematical Society 4 (1991), no....

currently working at the University of Chicago. Drinfeld's work connected algebraic geometry over finite fields with number theory, especially the theory...

(1992). "Local Finiteness of the Adjoint Action for Quantized Enveloping Algebras". Journal of Algebra. 153 (2): 289–318. doi:10.1016/0021-8693(92)90157-H...