## Search

Now showing items 1-10 of 12

#### Hopf-dihedral (co)homology and L-theory

(European Mathematical Soc, 2018-03-23)

We develop an appropriate dihedral extension of the Connes-Moscovici characteristic map for Hopf *-algebras. We then observe that one can use this extension together with the dihedral Chern character to detect non-trivial ...

#### Characteristic classes of foliations via SAYD-twisted cocycles

(European Mathematical Society, 2015)

We find the first non trivial “SAYD-twisted” cyclic cocycle over the groupoid action algebra under the symmetry of the affine linear transformations of the Euclidian space. We apply the cocycle to construct a characteristic ...

#### Hopf-cyclic cohomology of the Connes-Moscovici Hopf algebras with infinite dimensional coefficients

(Springer Heidelberg, 2018-12-01)

We discuss a new strategy for the computation of the Hopf-cyclic cohomology of the Connes-Moscovici Hopf algebra Hn. More precisely, we introduce a multiplicative structure on the Hopf-cyclic complex of Hn, and we show ...

#### Hochschild cohomology of reduced incidence algebras

(World Scientific Publishing Co Pte Ltd, 2016-10-19)

We compute the continuous Hochschild cohomology of four reduced incidence algebras: the algebra of formal power series, the algebra of exponential power series, the algebra of Eulerian power series, and the algebra of ...

#### Lagrangian dynamics on matched pairs

(Elsevier Science BV, 2017-01)

Given a matched pair of Lie groups, we show that the tangent bundle of the matched pair group is isomorphic to the matched pair of the tangent groups. We thus obtain the Euler–Lagrange equations on the trivialized matched ...

#### A characteristic map for compact quantum groups

(Springer Heidelberg, 2017-09)

We show that if G is a compact Lie group and g is its Lie algebra, then there is a map from the Hopf-cyclic cohomology of the quantum enveloping algebra U-q(g) to the twisted cyclic cohomology of quantum group algebra ...

#### Hom-Lie-Hopf algebras

(Academic Press Inc., 2020-07-01)

We studied both the double cross product and the bicrossproduct constructions for the Hom-Hopf algebras of general (α,β)-type. This allows us to consider the universal enveloping Hom-Hopf algebras of Hom-Lie algebras, which ...

#### Matched pairs of m-invertible hopf quasigroups

(Institute of Mathematics, Academy of Sciences Moldova, 2020)

The matched pair theory (of groups) is studied for a class of quasigroups; namely, the m-inverse property loops. The theory is upgraded to the Hopf level, and the m-invertible Hopf quasigroups are introduced.

#### Topological Hopf algebras and their Hopf-cyclic cohomology

(Taylor and Francis, 2019-01-29)

A natural extension of the Hopf-cyclic cohomology, with coefficients, is introduced to encompass topological Hopf algebras. The topological theory allows to work with infinite dimensional Lie algebras. Furthermore, the ...

#### Second order Lagrangian dynamics on double cross product groups

(Elsevier B.V., 2021-02)

We observe that the iterated tangent group of a Lie group may be realized as a double cross product of the 2nd order tangent group, with the Lie algebra of the base Lie group. Based on this observation, we derive the 2nd ...