Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Marco A. Farinati"'
We describe how to find quantum determinants and antipode formulas from braided vector spaces using the FRT-construction and finite-dimensional Nichols algebras. It generalizes the construction of quantum function algebras using quantum grassmanian a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d45be2974eba29b14f3029ae5cedfb38
http://sedici.unlp.edu.ar/handle/10915/129665
http://sedici.unlp.edu.ar/handle/10915/129665
Publikováno v:
Journal of Pure and Applied Algebra. 222:2006-2021
We describe the space of central extensions of the associative algebra Ψ n of formal pseudo-differential symbols in n ≥ 1 independent variables using Hochschild (co)homology groups: we prove that the first Hochschild (co)homology group H H 1 ( Ψ
Autor:
Marco A. Farinati
We consider "Hopfological" techniques as in \cite{Ko} but for infinite dimensional Hopf algebras, under the assumption of being co-Frobenius. In particular, $H=k[{\mathbb Z}]\#k[x]/x^2$ is the first example, whose corepresentations category is d.g. v
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a1a58b0c9cb32d00f98e8a3f63652745
Publikováno v:
CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
Journal of Algebra 2018;505:70–91
Repositorio Institucional (UCA)
Pontificia Universidad Católica Argentina
instacron:UCA
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
Journal of Algebra 2018;505:70–91
Repositorio Institucional (UCA)
Pontificia Universidad Católica Argentina
instacron:UCA
We generalize a result on the Heisenberg Lie algebra that gives restrictions to possible Lie bialgebra cobrackets on 2-step nilpotent algebras with some additional properties. For the class of 2-step nilpotent Lie algebras coming from graphs, we desc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1b678508f72620420d390c06aede000f
https://www.sciencedirect.com/science/article/pii/S0021869318301625
https://www.sciencedirect.com/science/article/pii/S0021869318301625
Publikováno v:
CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
We define a knot/link invariant using set theoretical solutions $(X,\sigma)$ of the Yang-Baxter equation and non commutative 2-cocycles. We also define, for a given $(X,\sigma)$, a universal group Unc(X) governing all 2-cocycles in $X$, and we exhibi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::03fb047b61f5f073c1d805d51cdd87cf
https://www.worldscientific.com/doi/abs/10.1142/S021821651650070X
https://www.worldscientific.com/doi/abs/10.1142/S021821651650070X
Publikováno v:
Journal of Algebra. 390:56-76
From a Lie algebra $\mathfrak{g}$ satisfying $\mathcal{Z}(\mathfrak{g})=0$ and $\Lambda^2(\mathfrak{g})^\mathfrak{g}=0$ (in particular, for $\g$ semisimple) we describe explicitly all Lie bialgebra structures on extensions of the form $\mathfrak{L} =
Publikováno v:
CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
For a set theoretical solution of the Yang-Baxter equation $(X,\sigma)$, we define a d.g. bialgebra $B=B(X,\sigma)$, containing the semigroup algebra $A=k\{X\}/\langle xy=zt : \sigma(x,y)=(z,t)\rangle$, such that $k\otimes_A B\otimes_Ak$ and $\mathrm
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c50595d0c2d07e7fe8df231a6d9296d1
http://www.sciencedirect.com/science/article/pii/S0022404916300184
http://www.sciencedirect.com/science/article/pii/S0022404916300184
Publikováno v:
CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
We extend the notion of monogenic extension to the noncommutative setting, and we study the Hochschild cohomology ring of such an extension. As an aplication we complete the computation of the cohomology ring of the rank one Hopf algebras beggined in