The numerous attempts over the last 15–20 years to define a quantum Lie algebra as an
elegant algebraic object with a binary “quantum” Lie bracket have not been evidently and …

We offer a complete classification of right coideal subalgebras which contain all group-like
elements for the multiparameter version of the quantum group Uq (sln+ 1) provided that the …

Let $ H $ be a character Hopf algebra. Every right coideal subalgebra U that contains the
coradical has a PBW-basis which can be extended up to a PBW-basis of $ H. $ If …

In this paper we describe the right coideal subalgebras containing all group-like elements of
the multiparameter quantum group Uq+ (g), where g is a simple Lie algebra of type G2 …

Let $ H $ be a pointed Hopf algebra with abelian coradical. Let $ A\supseteq B $ be left (or
right) coideal subalgebras of $ H $ that contain the coradical of $ H $. We show that $ A …

We consider absolutely free nonassociative algebras and, more generally, absolutely free
algebras with (maybe infinitely) many multilinear operations. Such algebras are described in …

This is a survey of recent results on the Galois theory of prime algebras with Hopf algebra
actions. A Galois correspondence theorem for Hopf algebra actions and related results …

The aim of this work is to establish the Gabriel quiver constructions via functors. By Gabriel
quiver constructions we mean the Gabriels theorem which states that every pointed finite …

Galois Theories: A Survey | SpringerLink Skip to main content Advertisement SpringerLink
Account Menu Find a journal Publish with us Track your research Search Cart Book cover …

Suppose that $ G $ is a finite group and $ D (G) $ the quantum double algebra of $ G $. Let
$\mathcal A $ be the field algebra of $ G $-spin models. There is a natural action of $ D (G) …