Quantizations \(U_q (\mathfrak{sl}_{n + 1}^+)\) and \(U_q (\mathfrak{so}_{2n + 1}^+)\) as quadratic-linear algebras (Q2201076)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Quantizations \(U_q (\mathfrak{sl}_{n + 1}^+)\) and \(U_q (\mathfrak{so}_{2n + 1}^+)\) as quadratic-linear algebras |
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quantizations \(U_q (\mathfrak{sl}_{n + 1}^+)\) and \(U_q (\mathfrak{so}_{2n + 1}^+)\) as quadratic-linear algebras |
scientific article |
Statements
Quantizations \(U_q (\mathfrak{sl}_{n + 1}^+)\) and \(U_q (\mathfrak{so}_{2n + 1}^+)\) as quadratic-linear algebras (English)
0 references
25 September 2020
0 references
In the paper under review it is shown that in \(q\)-Weyl generators the multi-parameter quantizations of type \(A_n^+\) and \(B_n^+\) are quadratic-linear Koszul algebras.
0 references
Hopf algebra
0 references
PBW-basis
0 references
Gröbner-Shirshov relations
0 references
Koszul algebras
0 references
0 references
