- In mathematics, a Hopf algebra, H, is
quasitriangular if
there exists an
invertible element, R, of H ⊗ H {\displaystyle H\otimes H} such that R Δ (...
-
corresponding to the
solution of the Yang–Baxter
equation ****ociated with a
quasitriangular Hopf algebra.
Drinfeld has also
collaborated with
Alexander Beilinson...
- structure.
These include Drinfeld–Jimbo type
quantum groups (which are
quasitriangular Hopf algebras),
compact matrix quantum groups (which are structures...
- most
often used is the
profinite version. Drinfeld, V. G. (1990), "On
quasitriangular quasi-Hopf
algebras and on a
group that is
closely connected with Gal(Q/Q)"...
- (A,\nabla ,\eta ,\Delta ,\varepsilon ,S,{\mathcal {R}},\nu )} is a
quasitriangular Hopf
algebra which possess an
invertible central element ν {\displaystyle...
- needed], or if H is
commutative or
cocommutative (or more
generally quasitriangular). In general, S is an antihomomorphism, so S2 is a homomorphism, which...
-
arises in the
definition of the
classical Yang–Baxter equation. In
quasitriangular Hopf algebra, the R-matrix is a
solution of the Yang–Baxter equation...
- 1986
Vladimir Drinfel'd–Michio
Jimbo Quantum groups: In
other words,
quasitriangular Hopf algebras. The
point is that the
categories of representations...
- W {\displaystyle \tau _{V,W}} , most
importantly the
modules over
quasitriangular Hopf
algebras and Yetter–Drinfeld
modules over
finite groups (such...
-
vector space in that category. The
notion should not be
confused with
quasitriangular Hopf algebra. Let H be a Hopf
algebra over a
field k, and ****ume that...
