Denote by S the projective special linear group PSL2(q) over the field of q elements. We determine, for all values of q > 3, the degrees of the irreducible complex characters of every group H such that S 6 H 6 Aut(S). We also determine the character degrees of certain extensions of the special linear group SL2(q). Explicit knowledge of the character tables of SL2(q), GL2(q), PSL2(q), and PGL2(q...

We prove an explicit formula for the total Chern character of the Verlinde bundle over Mg,n in terms of tautological classes. The Chern characters of the Verlinde bundles define a semisimple CohFT (the ranks, given by the Verlinde formula, determine a semisimple fusion algebra). According to Teleman’s classification of semisimple CohFTs, there exists an element of Givental’s group transforming ...

We present new examples of determinantal point processes with infinitely many particles. The particles live on the half-lattice {1,2, . . . } or on the open half-line (0,+∞). The main result is the computation of the correlation kernels. They have integrable form and are expressed through the Euler gamma function (the lattice case) and the classical Whittaker functions (the continuous case). Ou...

Motivated by Stanley's results in [7], we generalize the rank of a partition λ to the rank of a shifted partition S(λ). We show that the number of bars required in a minimal bar tableau of S(λ) is max(o, e + (ℓ(λ) mod 2)), where o and e are the number of odd and even rows of λ. As a consequence we show that the irreducible projective characters of S n vanish on certain conjugacy classes. Anothe...

Category theoretic aspects of non-rational conformal field theories are discussed. We consider the case that the category C of chiral sectors is a finite tensor category, i.e. a rigid monoidal category whose class of objects has certain finiteness properties. Besides the simple objects, the indecomposable projective objects of C are of particular interest. The fusion rules of C can be block-dia...

If X is a smooth projective toric variety of dimension n we give explicit conditions on characters of the torus giving an embedding X →֒ Pr that guarantee dimSecX = 2n+ 1. We also give necessary and sufficient conditions for a general point of SecX to lie on a unique secant line when X is embedded into Pr using a complete linear system. For X of dimension 2 and 3 we give formulas for deg SecX in...

Most of the work achieved thus far on aspect graphs has concentrated on the design of algorithms for computing the representation. After reviewing how the space of viewpoints can be partitioned in view-equivalent cells, we work in this paper on a more theoretical level to give enumerative properties of the di erent entities entering in the construction of aspect graphs of objects bounded by smo...

Projective techniques are unusual and often intriguing for respondents to complete, permitting them to express thoughts and feelings which can be difŽ cult to access by direct and structured questioning. This is achieved by presenting respondents with ambiguous verbal or visual stimulus materials, such as bubble cartoons, which they need to make sense of by drawing from their own experiences, t...

This paper examines a newly created approach to exploring travel motivations, the Travel Career Patterns (TCP) model. Through an analysis of the TCP model, the authors advance travel motivation theory by making three contributions: a refinement of the definition of travel experience; the use and evaluation of essays as a qualitative tool for interpreting travel motives; and an extension of the ...