Recently the operator algebra, including the twisted affine primary fields, and a set of twisted KZ equations were given for the WZW permutation orbifolds. In the first part of this paper we extend this operator algebra to include the so-called orbifold Virasoro algebra of each WZW permutation orbifold. These algebras generalize the orbifold Virasoro algebras (twisted Virasoro operators) found ...

Starting with the superYangian Y (M |N) based on gl(M |N), we define twisted superYangians Y (M |N) ±. Only Y + (M |2n) and Y − (2m|N) can be defined, and appear to be isomorphic one with each other. We study their finite-dimensional irreducible highest weight representations.

Recently, Giusto and Halpern reported the open-string description of a certain basic class of untwisted open WZW strings, including their associated non-commutative geometry and open-string KZ equations. In this paper, we combine this development with results from the theory of current-algebraic orbifolds to find the open-string description of a corresponding basic class of twisted open WZW str...

We study the “quantized calculus” corresponding to the algebraic ideas related to “twisted cyclic cohomology” introduced in [12]. With very similar definitions and techniques as those used in [9], we define and study “twisted entire cyclic cohomology” and the “twisted Chern character” associated with an appropriate operator theoretic data called “twisted spectral data”, which consists of a spec...

An important code of length n is obtained by taking centralizer of a square matrix over a finite field Fq. Twisted centralizer codes, twisted by an element a ∈ Fq, are also similar type of codes but different in nature. The main results were embedded on dimension and minimum distance. In this paper, we have defined a new family of twisted centralizer codes namely generalized twisted centralizer...

Using representations of fundamental groups, we introduce the concept of twisted linking numbers. If the corresponding representation is trivial, the twisted linking number coincides with the linking number. In the case of a nontrivial representation, however, this is not necessarily true, which implies that the twisted linking number can detect the nontriviality of an embedding of S. An exampl...

The aim of this paper is to construct p-adic twisted two-variable Eulerh,q -L-functions, which interpolate generalized twisted h,q -Euler polynomials at negative integers. In this paper, we treat twisted h,q -Euler numbers and polynomials associated with p-adic invariant integral on Zp. We will construct two-variable twisted h,q -Euler-zeta function and two-variable h,q -L-function in Complex s...