–3– 2 Four-particle form factor and generalized polylogarithms 2.1 BDS-like normalized form factors In this paper, we study the MHV form factor for the chiral stress energy tensor in planar N = 4 SYM. One rep
The universal enveloping algebrasU({\widehat{\mathfrak {g}}})andU(\widetilde{\mathfrak {g}})can be q-deformed, yielding non-cocommutative Hopf algebras (Drinfeld-Jimbo quantum groups)U_q({\widehat{\mathfrak {g}}})andU_q(\widetilde{\mathfrak {g}}), see e.g. [Dr85,Dr86,Ji86a...
Francesc Fité_ The generalized Sato-Tate conjecture 58:52 Francesc Fité_ Sato-Tate axioms 53:53 31.Francesc Fité_ The Galois type of an Abelian surface 01:04:05 32.Peter Stevenhagen_ The Chebotarev density theorem 01:02:29 33.Peter Stevenhagen_ Character sums for primitive root de...
The lattice Heisenberg algebra construction of Section 2 can be generalized somewhat. In particular, for r∈N+, we can replace Zq,π everywhere by the algebraZˆq1,…,qr,π⊆Z〚q1±1,…,qr±1〛[π]/(π2−1) consisting of Laurent series∑(s1,…,sr,ϵ)∈Zr⊗Z2as1,…,sr...
Francesc Fité_ The generalized Sato-Tate conjecture 58:52 Francesc Fité_ Sato-Tate axioms 53:53 31.Francesc Fité_ The Galois type of an Abelian surface 01:04:05 32.Peter Stevenhagen_ The Chebotarev density theorem 01:02:29 33.Peter Stevenhagen_ Character sums for primitive root de...
(g⊲x)y+x(g⊲y)forx,y∈X.Ageneralizedwayofwritingthisisg⊲xy=(g(1)⊲x)(g(2)⊲y)(1)forallg∈U(g),wherethecoproductisde,nedasg(1)⊗g(2)≡∆(g):=g⊗1+1⊗gonthegeneratorsg∈gandextendedtoahomomorphismontheenvelopingalgebra.Thiscovarianceconditionmakessensefortheactionofa...
Building on work of Hadamard and Volterra, he generalized Banach spaces to use new (non-normed) metrics and proved that many important theorems still applied in these more general spaces. For this work, and his invention of the notion of compactness, Fréchet is called the Founder of the ...
mail: ellinas@science.tuc.gr 2 E-mail: ioannis2@otenet.gr Abstract Brownian motion on a smash line algebra (a smash or braided version of the algebra resulting by tensoring the real line and the generalized paragrassmann line algebras), is constructed by means of its Hopf algebraic structure...
A generalized system of three-dimensional variable-coefficient modified Kadomtsev–Petviashvili–Burgers-type equation in [3] was studied. This equation was used to model ion-acoustic, dust-magneto-acoustic, quantum-dust-ion-acoustic and/or dust-ion-acoustic waves in one of the cosmic or laboratory...
Many researchers have generalized (3) and have shown fixed point theorems for single and multivalued contractive mappings in many directions (see [13,14,15,16,17,18,19]). In this article, we attempt to generalize the results of [1] and [2] for cyclic ΘΘ -contractions. We also ...