A well-known property of irreducible characters of finite groups is the fact, proved by Burnside, that if G is a finite group and % : G −→ GL(E) is an irreducible complex representation of dimension dim(%) > 2, then there exists some g ∈ G such that χ%(g) = Tr %(g) is zero. A common argument to prove this relies on the following result (also due to Burnside) on representations of finite cyclic ...

Let G be a split reductive algebraic group over a non-archimedean local field. We study the representation theory of a central extension G̃ of G by a cyclic group of order n, under some mild tameness assumptions on n. In particular, we focus our attention on the development of the theory of principal series representations for G̃ and its applications to the study of Hecke algebras via a Satake is...

Optimization of hardware resources for conditional data-flow graph behavior is particularly important when conditional behavior occurs in cyclic loops and maximiza-tion of throughput is desired. In this paper, an exact and efficient conditional resource sharing analysis using a guard-based control representation is presented. The analysis is transparent to a scheduler implementation. The propos...

The chain-code representation of contours is widely used in syntactic shape recognition. However the ignorance of a starting point makes the time complexity of traditional parsers increase in one order. This paper describes a technique for adapting any Cock-Younger-Kasami context-free parser in order to use it with cyclic strings. The parsers obtained with this technique have the same time and ...

I. Background material 1 A. Mumford-Tate groups and domains B. The structure theorem for global variations of Hodge structure C. Hodge groups and domains II. General context A. Algebro-geometric B. Representation theoretic C. Arithmetic III. Cyclic spaces and their enlargements A. General definitions and some properties B. Two examples C. Enlargements of cycle spaces IV. Penrose-Radon transform...

We generalize permutative representations of the Cuntz algebras for the Cuntz-Krieger algebra OA for any A. We characterize cyclic permutative representations by notions of cycle and chain, and show their existence and uniqueness. We show necessary and sufficient conditions for their irreducibility and equivalence. In consequence, we have a complete classification of permutative representations...

The sterols are naturally occurring alcohols which consist basically of the steroid skeleton (cyclopentanoperhydrophenanthrene ring system with two angular methyl groups) and which vary in the number of cyclic double bonds. T o the ring system is attached an alkyl side-chain which also may have double bonds. The conventional representation of the sterol skeleton with numbering is shown in Fig. ...

Timed Petri nets, a formalism developed specifically for representation of concurrent activities, are popular models of discrete-event system. For net models which can be decomposed into simple cyclic subnets, the performance can be determined on the basis of components, without the exhaustive analysis of the behavior of the whole system; such an approach is known as structural analysis. The pa...

The paper describes a new implementation of feature structures containing disjunctive values, which can be characterized by the following main points: Local representation of embedded disjunctions, avoidance of expansion to disjunctive normal form and of repeated test-unifications for checking consistence. The method is based on a modification of Kasper and Rounds' calculus of feature descripti...

We find identities between theta constants with rational characteristics evaluated at period matrix of R, a cyclic 3 sheeted cover of the sphere with 3k branch points λ1...λ3k. These identities follow from Thomae formula [BR]. This formula expresses powers of theta constants as polynomials in λ1...λ3k. We apply the representation of the symmetric group to find relations between the polynomials ...