We describe a natural structure of an abelian intertwining algebra (in the sense of Dong and Lepowsky) on the direct sum of the untwisted vertex operator algebra constructed from the Leech lattice and its (unique) irreducible twisted module. When restricting ourselves to the moonshine module, we obtain a new and conceptual proof that the moonshine module has a natural structure of a vertex oper...

tion. Over the centuries, it has become reified in that analogical reasoning has sometimes been regarded as a fundamental cognitive process. In addition, it has become identified with a particular expressive format. The limitations of the modern view are illustrated by monster analogies, which show that analogy need not be regarded as something having a single form, format, or semantics. Analog...

We use uniqueness of a VOA (vertex operator algebra) extension of (V + EE8) 3 to a Moonshine type VOA to give a new existence proof of a finite simple group of Monster type. The proof is relatively direct. Our methods depend on VOA representation theory and are free of many special calculations which traditionally occur in theory of the Monster.

This article investigates stability for monster metric spaces introduced in [ShUs837] without the additional assumtion of the language L being countable. We prove that any monster metric space which is categorical in any cardinality bigger than |L| is 0-stable in |L| and unidimensional. In particular, the result holds for uncountable continuous theories.

We further study the incidence relations that arise from the various subtowers, known as Baby Monsters, which exist within the R-Monster Tower. This allows us to complete the RV T class spelling rules. We also present a method of calculating the various Baby Monsters that appear within the Monster Tower. MSC Primary: 58A30 Secondary: 58A17, 58K50.

We show interesting relations between extremal partition functions of a family of conformal field theories and dimensions of the irreducible representations of the Fischer-Griess Monster sporadic group. We argue that these relations can be interpreted as an extension of Monster moonshine.

We investigate a general class of (black-box) constructions for range extension of weak pseudorandom functions: a construction based on m independent functions F1, . . . , Fm is given by a set of strings over {1, . . . , m}, where for example {〈2〉, 〈1, 2〉} corresponds to the function X 7→ [F2(X), F2(F1(X))]. All efficient constructions for range expansion of weak pseudorandom functions that we ...

This paper investigates consumers’ willingness to pay (WTP) for click-and-collect grocery services. In particular, we analyze whether the time-pressed are willing higher fees. We exploit a survey among 572 customers of two Belgian supermarket chains—both users and non-users. test our model three (increasingly narrow) samples: all respondents, respondents with non-zero WTP, current users. Our ke...