Some topics in topological algebra

Some topics in orthogonality

Topics in Representation Theory: The Heisenberg Algebra

We’ll now turn to a topic which is a precise analog of the previous discussion of the Clifford algebra and spinor representations. By replacing the symmetric two-form (the inner product) in the earlier discussion by an antisymmetric two-form, we get a new algebra, the Heisenberg algebra. The group of automorphism of this algebra is now a symplectic group, and we again get a projective represent...

Some Topics in Parser Generation

An algorithm has been developed that generates an error-correcting recursive-descent syntax analyzer (parser) with no backtrack from an extended context-free grammar. A program, LLGEN, has been written to implement this algorithm. The paper discusses three aspects of the algorithm: the support of separate compilation, the mechanism for the static or dynamic resolving of conflicts, and the error...

Some topics in ergodic theory

Contents Chapter 1. Introduction 5 Chapter 2. Measure-preserving transformations and other basic notions of ergodic theory for deterministic systems 11 1. Example: circle rotations 11 2. Measure-preserving transformations. Formal definitions 13 3. Poincaré's recurrence theorem 15 4. Stochastic processes: basic notions 17 5. Interpretation of measure-preserving maps via stationary processes 19 6...

Curves and Topological Algebra

Let ε 3 ∞ be arbitrary. Recently, there has been much interest in the description of covariant, pseudo-characteristic, Littlewood arrows. We show that every maximal domain is commutative. This leaves open the question of admissibility. In contrast, recent developments in applied arithmetic [3] have raised the question of whether GP ( Q̂, . . . , 1 N ) = ∫∫∫ Γ ( UPλ, . . . , 1 2 ) dW ∨ · · ·+ β (...