We take advantage of the description of the free 2-algebra in terms of planar trees to unravel the operad associated to nondifferential -algebras.JeanLouis LodayJournal Für Die Reine Und Angewandte MathematikOn the structure of cofree Hopf algebras, ...
Stein fillings of cotangent bundles of surfaces - Jeremy van Horn Morris 01:00:08 Structures on the Free Loop Space” Pt2 - Nathalie Wahl 01:01:50 Structures on the Free Loop Space Pt3 - Nathalie Wahl 01:03:28 Sums of Three Squares and Lattice Points on the Sphere - Jean Bourgain...
Moreover, we endow the free bigraft algebra on one generator with a universal Hopf algebra structure and a pairing. Finally, we prove an analogue of the Poincaré–Birkhoff–Witt and Cartier–Milnor–Moore theorems. For this, we define the notion of infinitesimal bigraft bialgebras and we ...
On the structure of cofree Hopf algebras The primitive part of a cofree Hopf algebra is a nondifferential B ∞-algebra. We construct a universal enveloping functor U2 from nondifferential B ∞... JL Loday,M Ronco - 《Journal Für Die Reine Und Angewandte Mathematik》 被引量: 277发表: ...
the generating function for graded multiplicities of the irreducible representationinM. As an immediate consequence of the above theorems, it is possible to obtain the following formulae that encode the graded structure of rings of invariants:
On the structure of simple C∗-algebras tensored with a UHF-algebra, II Let D be a simple unital C∗-algebra, let B be a UHF-algebra, and put A = B ⊗ D. It is proved that if p, q ϵ A are projections and τ(p) < τ(q)... M Rørdam - 《Journal of Functional...
[17] Cartier P, On the structure of free Baxter algebras, Adv. Math. 9 (1972), 253–265. [18] Chapoton F and Livernet M, Pre-Lie algebras and the rooted trees operad, Int. Math. Res. Not. (8) (2001), 395–408. [19] Chari V and Pressley A, A guide to quantum groups, ...
Brouder [3, 4] realized that the mathematical structure of Connes–Kreimer was the same as that of Butcher. Grossman and Larson [16] also developed a cocommutative graded Hopf algebra on a general class of rooted trees. It was shown by Foissy [15] and Hoffman [18] that the commutat...
We study the mod-p cohomology of the group Out(F_n) of outer automorphisms of the free group F_n in the case n=2(p-1) which is the smallest n for which the... AV Ales Vavpetic 被引量: 1发表: 2005年 Cohomology of finite-dimensional connected cocommutative Hopf algebras The ...
[24]. The first two algebras are noncommutative analogs of the symmetric and the exterior algebras ofV. The algebraA(R) is a noncommutative analog of the ring of polynomial functions on the space ofmatrices. By localizingA(R), one obtains a Hopf algebra which represents a nonstandard quantum...