Finally, we prove that if H and its dual H*are both semisimple, then the finitistic dimension of A#_σ H is equal to that of A.Liu, L.Shen, B.-L.Wang, S.-H.Algebras and representation theoryLing Liu,Bing-liang Shen,Shuan-hong Wang.On Weak Crossed Products of Weak Hopf Algebras...
Hopf crossed products, or in other words, cleft comodule algebras form a special but important class in Hopf-Galois extensions. To discuss this interesting subject, we will start with the more familiar group crossed products, and then see that they are naturally generalized by Hopf crossed produc...
The paper studies differential calculi for an algebra A or a Hopf algebra H when working with the category DGV of complexes of k-vector spaces (differenti... P Schauenburg - 《Journal of Algebra》 被引量: 22发表: 1996年 On twisted tensor products of algebras Let K be a commutative ring...
Zhang, "Hopf algebra actions on differential graded algebras and applications", Bull. Belg. Math. Soc. Simon Stevin, vol. 18, pp. 99-111, 2011.J.-W. He, F. Van Oystaeyen and Y. Zhang, Hopf algebra actions on differential graded algebras and applications, Bulletin of Belgian Math. Soc...
机译:Plethystic Hopf代数。 7. Quasitriangular and Differential Structures on Bicrossproduct Hopf Algebras [O] . Beggs Edwin, Majid Shahn 1999 机译:双叉积Hopf代数上的拟三角和微分结构 8. Differential Hopf Algebra Structures on the Universal Enveloping Algebra of a LieAlgebra [R] . van de...
We study finite-dimensional semisimple Hopf algebras over an algebraically closed field which have only one summand of dimension greater than 1 in their se... SY Spiridonova - 《Mathematical Notes》 被引量: 0发表: 2012年 On Finite-Dimensional Semisimple Hopf Algebras of Dimension n(n+1) We ...
tefan has proved that there exists only a finite number of Hopf k-algebras which are both semi-simple and co-semi-simple. In the C * –algebraic framework, we provide in this note explicit upper-bounds for the number of Hopf C * –algebra structures on a given finite dimensional C * ...
We classify finite-dimensional complex Hopf algebras $A$ which are pointed, that is, all of whose irreducible comodules are one-dimensional, and whose group of group-like elements $G(A)$ is abelian such that all prime divisors of the order of $G(A)$ are $>7$. Since these Hopf algebr...
Hopf algebra actionquadratic independence16T05Let A be a commutative unital algebra over an algebraically closed field k of characteristic ≠ 2, whose generators form a finite-dimensional subspace V, with no nontrivial homogeneous quadratic relations. Let Q be a Hopf algebra that coacts on A ...
Efficient short-wave infrared upconversion by self-sensitized holmium-doped nanoparticles 8 p. Scaling Laws Governing the Collapse of a Bose-Einstein Condensate 16 p. Operator Valued Flow Equation Approach to the Bosonic Lattice Polaron: Dispersion Renormalization Beyond the Fr'ohlich Paradi 13 ...