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Decomposition of some pointed Hopf algebras given by the canonical Nakayama automorphism
(Elsevier Science, 2007-08)
Every finite dimensional Hopf algebra is a Frobenius algebra, with Frobenius homomorphism given by an integral. The Nakayama automorphism determined by it yields a decomposition with degrees in a cyclic group. For a family ...
Automorphisms and isomorphisms of quantum generalized Weyl algebras
(Academic Press Inc Elsevier Science, 2015-02)
We classify up to isomorphism the quantum generalized Weyl algebras and determine their automorphism groups in all cases in a uniform way, including the case where the parameter q is a root of unity, thereby completing the ...
Equivalence between varieties of square root rings and Boolean algebras with a distinguished automorphism
(Academic Press Inc Elsevier Science, 2006-05)
In this paper we study the variety R2 of square root rings, that is, commutative rings with unit, of characteristic two, with the square root as an additional operation. We prove that this variety is generated by the finite ...
Boolean algebras with a distinguished automorphism
(Jagiellonian University, 2003)
Automorphisms of non-singular nilpotent Lie algebras
(Heldermann Verlag, 2013-03)
For a real, non-singular, 2-step nilpotent Lie algebra n, the group Aut(n)/ Aut0(n), where Aut0(n) is the group of automorphisms which act trivially on the center, is the direct product of a compact group with the 1-dimensional ...
The Lie algebra of derivations of a current Lie algebra
(Taylor & Francis, 2019-09)
Let K be a field of characteristic zero, g be a finite dimensional K-Lie algebra and let A be a finite dimensional associative and commutative K-algebra with unit. We describe the structure of the Lie algebra of derivations ...
Orbits of non-elliptic disc automorphisms on H p
(Elsevier Inc, 2012-04)
Motivated by the Invariant Subspace Problem, we describe explicitly the closed subspace H2 generated by the limit points in the H2 norm of the orbit of a thin Blaschke product B under composition operators Cϕ induced by ...
Non-classification of free Araki-Woods factors and τ-invariants
(European Mathematical Society, 2019-09)
We define the standard Borel space of free Araki-Woods factors and prove that their isomorphism relation is not classifiable by countable structures. We also prove that equality of τ-topologies, arising as invariants of ...
Eliminating components in Quillen's conjecture
(Academic Press Inc Elsevier Science, 2022-06-16)
We generalize an earlier result of Segev, which shows that some component in a minimal counterexample to Quillen's conjecture must admit an outer automorphism. We show in fact that every component must admit an outer ...
Three dimensional real Lie bialgebras
(Unión Matemática Argentina, 2015-04)
By different methods, we classify the real three dimensional Lie bialgebras and give their automorphism groups; in case of coboundary Lie bialgebras, the corresponding coboundaries r ∈Λ2g are listed.