We provide two algorithms to solve branching from K to M for the real split reductive group of type An, one inductive and one related to semistandard Young tableaux. The results extend to branching from Ke to M fnl Ke for the real split reductive groups of type Bn and Dn. Thesis Supervisor: David A. Vogan, Jr. Title: Professor of Mathematics

Let (G,G′) ⊂ Sp(W) be an irreducible real reductive dual pair of type I in stable range, with G the smaller member. In this note, we prove that all irreducible genuine representations of G̃ occur in the Howe correspondence. The proof uses structural information about the groups forming a reductive dual pair and estimates of matrix coefficients.

This paper reports the continuous reductive amination of different molecules, including biomass-related compounds, over carbon-supported FeNi nanoparticles obtained on the basis of inexpensive and abundant metal precursors and cellulose. A biorefinery case study for the preparation of pyrrolidones via acid-catalyzed hydrolysis of glucose followed by reductive amination of the obtained levulinic...

New examples of ansa-titanocenes derived from 1,2-bis(2-indenyl)ethane have been prepared. The titanium-mediated reductive coupling of 2-(hydroxymethyl)indenes provided a convenient method for substrate dimerization. Alkyl substitution of the indene ring at C(3) improved the regioselectivity of the reductive coupling to provide the ethylene bis(2-indenyl)ansa-ligands in 29–62% yield.

Levulinic acid (LA) is transformed into pyrrolidinones via iridium-catalysed reductive amination using formic acid as the hydrogen source under aqueous conditions. The catalytic system is the most active and performs under the mildest conditions ever reported for the reductive amination of LA.

Curcumin derivatives were successfully synthesized from 3,5-dimethylisoxazole by lateral metalation and condensation with various aromatic aldehydes sequentially at C5and C3-methyl groups. After dehydration, further transformation of isoxazole ring to b-diketone moiety was accomplished by reductive ring opening using molybdenum hexacarbonyl [Mo(CO)6] and subsequent simple acidic hydrolysis. key...

9-Aminononanoic acid, 9-aminononanamide, and related compounds derived from soybean oil by reactions, including reductive ozonolysis and reductive amination, were separated on an analytical scale either by gas liquid chromatography of trifluoroacetylated or trimethylsilylated derivatives or by thin layer chromatography and on a preparative scale by ion-exchange chromatography. Comparative analy...

We give an efficient algorithm for Lang’s Theorem in split connected reductive groups defined over finite fields of characteristic greater than 3. This algorithm can be used to construct many important structures in finite groups of Lie type. We use an algorithm for computing a Chevalley basis for a split reductive Lie algebra, which is of independent interest.

What is the relation between metaphysical necessity and essence? This paper defends view that one of identity: a special case essence. My argument consists in showing best joint theory essence which just The made against backdrop novel, higher-order logic (HLE), whose core features are introduced first part paper. second investigates context HLE. Reductive hypotheses among most natural to be ex...