V. Kharchenko

activity

19932020

most citedTriangular decomposition of right coideal subalgebras

13 citations · 42 across the 16 of their papers we have counts for

collaborators

16 papers

math.RA2020

Free braided nonassociative Hopf algebras and Sabinin $τ$ -algebras

Ualbai Umirbaev, Vladislav Kharchenko

Let $V$ be a linear space over a field $k$ with a braiding $τ : V \otimes V \to V \otimes V .$ We prove that the braiding $τ$ has a unique extension on the free nonassocia…

math.QA2015★ 2 cited

Explicit coproduct formula for quantum group of the type $G_{2}$

Vladislav Kharchenko, Cristian Vay

We find a coproduct formula in the explicit form for PBW-generators of the two-parameter quantum group $U_{q}^{+} (g)$ where $g$ is a simple Lie algebra of type $G_{2}$ . The…

math.QA2014

Explicit coproduct formula for quantum groups of infinite series

Vladislav Kharchenko

We find an explicit form for the coproduct formula for PBW generators of quantum groups of infinite series $U_{q} (sp_{2 n})$ and $U_{q} (so_{2 n}) .$ Similar formulas for $U_…

math.QA2010★ 13 cited

Triangular decomposition of right coideal subalgebras

V. K. Kharchenko

Let $g$ be a Kac-Moody algebra. We show that every homogeneous right coideal subalgebra $U$ of the multiparameter version of the quantized universal enveloping algebra $U…

math.QA2009★ 6 cited

Right coideal subalgebras in U^+_q(so_{2n+1})

Vladislav Kharchenko

We give a complete classification of right coideal subalgebras that contain all group-like elements for the quantum group $U_{q}^{+} (so_{2 n + 1}),$ provided that $q$ is not a root…

math.QA2007★ 3 cited

Right coideal subalgebras in $U_{q} (sl_{n + 1}) .$

V. Kharchenko, A. V. Lara Sagahon

We offer a complete classification of right coideal subalgebras which contain all group-like elements for the multiparameter version of the quantum group $U_{q} (sl_{n + 1})$ …

Free braided nonassociative Hopf algebras and Sabinin τ-algebras

Explicit coproduct formula for quantum group of the type G2​