This paper compares the effects on corporate performance and managerial self-dealing in a situation in which the CEO reports to a single Board that is responsible for both monitoring management and establishing performance targets to an alternative in which the CEO reports to two Boards, each responsible for a different task. The equilibrium set of the common agency game induced by the dual boa...

Let G be a split simply laced group defined over a p-adic field F . In this paper we study the restriction of the minimal representation of G to various dual pairs in G. For example, the restriction of the minimal representation of E7 to the dual pair G2×Sp(6) gives the non-endoscopic Langlands lift of irreducible representations of G2 to Sp(6).

Two of the primary methods of constructing automorphic forms are the Langlands program and Howe's theory of dual pairs. The Langlands program concerns a reductive linear group G deened over a number eld. Associated to G is its dual group L G. The con-jectural principle of functoriality says that a homomorphism L H ! L G should provide a \transfer" of automorphic representations from H to those ...

Let k be a field of characteristic 6= 2, and let L be a Galois extension of k with group G. Let us denote by qL : L × L → k the trace form, defined by qL(x, y) = TrL/k(xy). Let (gx)g∈G be a normal basis of L over k. We say that this is a self–dual normal basis if qL(gx, hx) = δg,h. If the order of G is odd, then L always has a self–dual normal basis over k (cf. [1]). This is no longer true in g...

in this note we consider the notion of intuitionistic fuzzy (weak) dual hyper k-ideals and obtain related results. then we classify this notion according to level sets. after that we determine the relationships between intuitionistic fuzzy (weak) dual hyper k-ideals and intuitionistic fuzzy (weak) hyper k-ideals. finally, we define the notion of the product of two intuitionistic fuzzy (weak) du...

Let G = (V, E) be a graph embedded in a surface 2. (Unless otherwise specifically stated, all graphs and surfaces are assumed to be connected and all embeddings are cellular, i.e. every face is homeomorphic to an open disc.) The geometric dual of G is the graph Go = (D, E), where D is the set of faces of G and an edge e E E joins the two faces (not necessarily different) that lie on either side...

For any finite-dimensional Lie bialgebra g, we construct a bialgebra Au,v(g) over the ring C[u][[v]], which quantizes simultaneously the universal enveloping bialgebra U(g), the bialgebra dual to U(g), and the symmetric bialgebra S(g). Following [Tur89], we call Au,v(g) a biquantization of S(g). We show that the bialgebra Au,v(g ) quantizing U(g), U(g), and S(g) is essentially dual to the bialg...

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Let (G; ) be given. Here G is an algebraic group and an involution in Out(G) determining an inner class of real forms. Fix a Cartan subgroup and a BorelH B G and a set of root vectors fX g. This determines a unique distinguished involution of G mapping to and …xing the pinning (H;B; fX g). Form the extended group G = Go , where = f1; g is the Galois group of C over R, and acts on G by the invol...

We study the phase transition between G-instantons and D3-branes quantitatively. A G-instanton is a classical solution to self-dual equation of M/F-theory three-form tensor field C in complex fourfold. This dual that ‘vertical’ small instantons 5-branes heterotic string. Using G as background gauge flux, we may dynamically control symmetry breaking connect different vacua F-theory. understand a...