Sandipan De and Vijay Kodiyalam, Note on infinite iterated crossed products of Hopf algebras and the Drinfeld double, Journal of Pure and Applied Algebra, 219, No. 12 (2015), 5305 - 5313.Sandipan De and Vijay K
universal enveloping algebras16E4516S1017B3517B63In this paper, the so-called differential graded (DG for short) Poisson Hopf algebra is introduced, which can be considered as a natural extension of Poisson Hopf algebras in the differential graded setting. The structures on the universal enveloping...
Applications of this coinduction functor are given.doi:10.1016/0022-4049(95)00060-7Zhou BorongS. Caenepeel?. RaianuJournal of Pure and Applied AlgebraBorong,Z.,Caenepeel,S.,Raianu,S.The coinduced functor for infinite dimensional Hopf algebras. Journal of Pure and Applied Algebra . 1996...
I. M. Nikonov and G. I. Sharygin, “The Structure of the Hopf Cyclic (Co)homology of Algebras of Smooth Functions,” Mat. Zametki 97 (4), 566–582 (2015).[Math. Notes 97 (3–4), 575–587 (2015). MATHI. M. Nikonov and G. I. Sharygin, “The Structure of the Hopf ...
1 The Grothendieck rings of finite dimensional semisimple or cosemisimple Hopf algebras have been studied by Nichols and Richmond [11], Nikshych [12], Kashina [5], Chen, Yang and Wang [2,17], etc. ...
Then we use this naturality to study the category of commutative, cocommutative Hopf C * -algebras, and show that the category of compact Abelian semigroups and the category of commutative, cocommutative Hopf C * -algebras with units are isomorphic. By using this result, we show that the ...
The structure of the associated Hopf family of algebras is specified and bosonic representations for A ,η(g) at all positive integer levels are obtained. For the special case of g = slr+1, (r + 1)-dimensional evaluation representation is given. The corresponding intertwining operators are ...
Rings and AlgebrasCommutative Algebra16W3013D1016E4555P62Let H be a differential graded Hopf algebra over a field k. This paper gives an explicit construction of a triple cochain complex that defines the Hochschild-Cartier cohomology of H. A certain truncation of this complex is the appropriate...
4. Yetter-Drinfeld拟模范畴上的Hopf拟模 5. Yetter-Drinfeld模范畴上的弱相对Hopf模基本定理 6. T-代数上的Yetter-Drinfeld模 7. 广义Yetter-Drinfeld模上半单范畴的构造 8. T-余代数上的Yetter-Drinfeld模范畴 9. Doi Hom-Hopf 模的 Maschke 型定理 10. Hopf代数同态与Hopf理想 11. AS-Gorenst...
3 (G, χ)-Hopf algebras, graded Hochschild coho- mology Through this section G is an abelian group with a bicharecter χ : G×G −→K × . All unspecified graded spaces (algebras, coalgebras, ...) are graded by G; all unadorned Hom and tensor are taken over K. 3.1 Twisted...