Measures, states and de Finetti maps on pseudo-BCK algebras. (arXiv:0905.4789v1 [math.LO])
Authors: Lavinia Corina Ciungu , Anatolij ... measures presented in
\cite{Dvu2} to the case of pseudo-BCK algebras and study similar properties. We
prove that, under some conditions, the ... Bosbach state, and we extend to the case of
pseudo-BCK algebras some results proved by J. $\rm K \ddot{u}hr$ ...
...Tor and Cotor The Eilenberg-Moore spectral sequence and strongly homotopy multiplicative maps shm Maps of differential algebras, I. A characterization up to homotopy shm Maps of differential algebras, II. Applications to spaces with polynomial cohomology Homotopy associativity of H-spaces I Homotopy associativity of ...
Character theory for semisimple Hopf algebras. (arXiv:0811.3738v1 [math.RA])
Authors: S. Burciu
We study the induction and restriction functor from a Hopf subalgebra of a
... functor. A criterion
for subcoalgebras to be invariant under the adjoint action is given
generalizing Masuoka's result for normal Hopf algebras.
read more at math updates on arXiv.org rss2lj
Derivations in algebras of operator-valued functions. (arXiv:0811.0902v1 [math.OA])
Authors: A.F. Ber , B. de Pagter , F.A. Sukochev
In ... and the measure $\nu $ is
non-atomic. As an application of our approach, we study derivations in various
algebras of measurable operators affiliated with von Neumann algebras.
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Vector product algebras. (arXiv:0810.5464v1 [math.RA])
Authors: Erik Darpö
Vector products can be defined on spaces of dimensions 0, 1, 3 and 7 only,
and their isomorphism types are determined entirely by their adherent symmetric
bilinear forms. We present a short and elementary proof for this classical
result.
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On unitary unipotent representations of $p$-adic groups and affine Hecke algebras with unequal parameters. (arXiv:0810.5366v1 [math.RT])
Authors: Dan Ciubotaru
We determine the unitary dual of the geometric graded Hecke algebras with
{unequal} parameters which appear in Lusztig's classification of unipotent
representations for {exceptional} $p$-...
Quivers with relations arising from Koszul algebras of $\mathfrak g$-invariants. (arXiv:0810.1532v1 [math.RT])
Authors: Jacob Greenstein
Let $\mathfrak g$ be a complex ...$\lie g$ of types
$A$ and $C$. We also describe several infinite families of quivers and finite
dimensional algebras arising from this construction.
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On incidence algebras description of cobweb posets. (arXiv:0802.3703v1 [math.CO] CROSS LISTED)
The explicite formulas for Mobius function and some other important elements
of the incidence algebra of an arbitrary cobweb poset are delivered. For that
to do one uses Kwasniewski's construction of his cobweb posets . The digraph
representation of these cobweb posets constitutes a newly ...
Twisted Quantum Deformations of Lorentz and Poincar\'{e} algebras. (arXiv:0712.3962v1 [math.QA])
We discussed twisted quantum deformations of D=4 Lorentz and Poincare
algebras. In the case of Poincare algebra it is shown that almost all classical
r-matrices of S.Zakrzewski classification can be presented ...
Prolongations of Lie algebras and applications. (arXiv:0712.1398v1 [math.DG])
Authors: Paul-Andi Nagy
We study the skew-symmetric prolongation of a Lie ...} concerning a class of
Pl\"ucker-type embeddings. We also derive a classification of the metric k-Lie
algebras (or Filipov algebras), in positive signature and finite dimension.
Next we study the space of invariant 4-forms of a ...
