On the Hopf structure of U p,q (gl(1|1)) and the universal T-matrix of F un p,q (GL(1|1)) Abstract Using the technique developed by Fronsdal and Galindo (Lett. Math. Phys. 27 (1993) 57) for studying the Hopf duality between the quantum algebras F un p,q (GL(2)) and U p,q (gl(2)), the Hopf structure of U p,q (gl(1|1)), dual to F un p,q (GL(1|1)), is derived and the corresponding universal T-matr...

as gl(V1)⊕ gl(V2)⊕ gl(V3)-modules. This yields a well-known reformulation of (2.1). Proposition A.1. If l(α) 6 dimV1 and l(β) 6 dimV2, then the Kronecker coefficient g(αβγ) is the multiplicity of V1(α)⊗ V2(β) in the gl(V1)⊕ gl(V2)-module (V1 ⊗ V2)(γ). If V is m-dimensional, then V (1) is the one-dimensional gl(V )-module carried by the trace map gl(V ) → C. It follows easily that V (n) ∼= V (1)...

We consider the waiting time distribution of the Gl/Gl /1 queue where customers are served in random order; inter-arrival and service times may have finite or infinite variance. Our main result shows that the waiting time in heavy traffic can be written as a product of two random variables. Our proof is based on the intuitively appealing fact that in heavy traffic, the queue length stays consta...

In this paper we obtain a closed form expression of the zeta function Z(X Γ , u) of a finite quotient X Γ = Γ\P GL 3 (F)/P GL 3 (O F) of the Bruhat-Tits building of P GL 3 over a nonar-chimedean local field F. Analogous to a graph zeta function, Z(X Γ , u) is a rational function and it satisfies the Riemann hypothesis if and only if X Γ is a Ramanujan complex.

BACKGROUND Previous epidemiological investigations of associations between dietary glycemic intake and insulin resistance have used average daily measures of glycemic index (GI) and glycemic load (GL). We explored multiple and novel measures of dietary glycemic intake to determine which was most predictive of an association with insulin resistance. METHODS Usual dietary intakes were assessed ...

Relapsed or refractory Burkitt's lymphoma often has a poor prognosis in spite of intensive chemotherapy that induces apoptotic and/or necrotic death of lymphoma cells. Rapamycin (Rap) brings about autophagy, and could be another treatment. Further, anti-CD19-targeted liposomal delivery may enable Rap to kill lymphoma cells specifically. Rap was encapsulated by anionic liposome and conjugated wi...

Source: Proc. of the IASTED Intl. Conf. on Internet and Multimedia Systems and Applications (EuroI;MSA 2005), Grindewald (Switzerland) (2005) Source URL: http://labredes.det.uvigo.es/gl/node/219 Links: [1] http://labredes.det.uvigo.es/gl/biblio/author/2 [2] http://labredes.det.uvigo.es/gl/biblio/author/16 [3] http://labredes.det.uvigo.es/gl/biblio/author/1 [4] http://labredes.det.uvigo.es/gl/bi...

BACKGROUND Gastric leak (GL) represents one of the main early-onset postoperative complication of sleeve gastrectomy (SG). Most studies of GL featured short series and no data on the time to reoperation for persistent GL. OBJECTIVES Characterize the time between discovery of persistent post-SG GL and the implementation of reoperation. SETTING University hospital, France, public practice. ...

We refute a recent claim in the literature of a " new " quantum deformation of GL(2). Until the year 2000 it was not clear how many distinct quantum group deformations are admissible for the group GL(2) and the supergroup GL(1|1). For the group GL(2) there were the well-known standard GL pq (2) [1] and nonstandard (Jordanian) GL gh (2) [2] two-parameter deformations. (The dual quantum algebras ...