Quantized enveloping algebra

In mathematics, quantum enveloping algebra is a q-analog of an universl enveloping algebra. It is denoted as ${\displaystyle U_{q}({\mathfrak {g}})}$

${\displaystyle {\mathfrak {sl}}_{2}}$-case

See also

• crystal basis

External links

• http://mathoverflow.net/questions/126461/quantized-enveloping-algebras-at-q-1
• http://mathoverflow.net/questions/93778/does-there-exist-any-quantum-lie-algebra-embeded-into-the-quantum-enveloping-a