Representation theory for the Jordanian quantum algebra Uh(sl(2)) is developed using a nonlinear relation between its generators and those of sl(2). Closed form expressions are given for the action of the generators of Uh(sl(2)) on the basis vectors of finite dimensional irreducible representations. In the tensor product of two such representations, a new basis is constructed on which the gener...

Let g be a complex reductive Lie algebra. We investigate a formalism for producing a natural model for representations of sl(2) × g which decompose in such a way so as to produce interesting correspondences between representations of sl(2) and of g. Our formalism generalizes the standard dual pair SL(2)× O(2n). We use it to obtain a formally unitary representation of sl(2,R)×u(3) that essential...

We clarify the computational complexity of planarity testing, by showing that planarity testing is hard for L, and lies in SL. This nearly settles the question, since it is widely conjectured that L = SL [25]. The upper bound of SL matches the lower bound of L in the context of (nonuniform) circuit complexity, since L/poly is equal to SL/poly. Similarly, we show that a planar embedding, when on...

Clarias serniosus, a new Southeast Asian walking-catfish species, is described from the Bolavens Plateau in southern Laos. The new species is a member of the C. batrachus species complex, and can be distinguished from congeners in the complex in having a combination of: occipital process length 15-17 % HL, head length 28.2-28.6% SL, head width 18.5-19.2% SL, head depth 13.0-13.7% SL, distance b...

Modulation of allergic immune responses by using adequate adjuvants is a promising concept for future immunotherapy of type I hypersensitivity. In the present study, recombinant Bet v 1 (rBet v 1, the major birch pollen allergen) was conjugated to cross-linked crystalline surface layer proteins (SL) derived from Gram-positive eubacteria. T cell lines (TCL) and clones (TCC) were established from...

We give definitions and some properties of the shift operator SL(H2) and multiplication operator on L(H ). In addition, we obtain some properties of the commutant of the shift operator SL(H2) and characterize SL(H2)-invariant subspaces.

This investigation aimed to assess genetics of body conformation and feed efficiency traits in a control line of Rhode Island Red (RIR) chicken taking single hatched out pedigreed 100 chicks at Central Avian Research Institute, Izatnagar, India. Data was analyzed by least squares analysis of variance. Least squares means of chick weight (CW), body weight (BW), shank length (SL), keel length (KL...

Ikan Kakap putih hibrida yang diteliti merupakan hasil persilangan antara Strain Australia dan Lokal, khususnya Generasi BC1F1 BC2F1, dengan umur pemeliharaan 7 bulan. Penelitian bertujuan untuk menganalisis: (1) karakteristik morfometrik masing-masing ikan BC2F1; (2) similaritas intrapopulasi pada kelompok serta (3) interpopulasi BC2F1. Sampling dilakukan di KJA BPBL Batam metode cluster rando...

There are only two quantum group structures on the space of two by two uni-modular matrices, these are the SL q (2) and the SL h (2) [9-13] quantum groups. One can not construct a differential geometry on SL q (2) , which at the same time is bicovariant , has three generators , and satisfies the Liebnitz rule. We show that such a differential geometry exists for the quantum group SL h (2) and d...

We consider the following question: given A ∈ SL(2,R), which potentials q for the second order Sturm-Liouville problem have A as its Floquet multiplier? More precisely, define the monodromy map μ taking a potential q ∈ L2([0, 2π]) to μ(q) = Φ̃(2π), the lift to the universal cover G = ̃ SL(2,R) of SL(2,R) of the fundamental matrix map Φ : [0, 2π] → SL(2,R), Φ(0) = I, Φ(t) = (