Extended zigzag Schur algebras are quasi-hereditary which conjecturally Morita equivalent to RoCK blocks of classical algebras. We prove that extended Ringel self-dual.

For any Cuntz-Krieger algebra OA, we construct embeddings of OA into the Cuntz algebra O2 such that the canonical generators of OA are written as polynomials in those of O2. Mathematics Subject Classifications (2000). 47L55, 81T05.

We prove a quantized version of a theorem by M. V. Shĕınberg: A uniform algebra equipped with its canonical, i.e. minimal, operator space structure is operator amenable if and only if it is a commutative C∗-algebra.

An extended canonical dual approach for solving 0-1 quadratic programming problems is introduced. We derive the relationship between the optimal solutions to the extended canonical dual problem and the original problem and prove that there exists no duality gap in-between. The extended canonical dual approach leads to a sufficient condition for global optimality, which is more general than know...

here, the concept of quantum potential that has been illustrated in extended phase space (eps) in previous works is explored for its marginal behavior. unlike in configuration space, different representations of the quantum mechanics can be found in eps when exploiting appropriate canonical transformations. these canonical transformations revealed that there exist several representations in whi...

Inspired by [3] we introduce the concept of extended Hopf algebra and consider their cyclic cohomology in the spirit of Connes-Moscovici [3, 4, 5]. Extended Hopf algebras are closely related, but different from, Hopf algebroids. Their definition is motivated by attempting to define cyclic cohomology of Hopf algebroids in general. Many of Hopf algebra like structures, including the Connes-Moscov...

To a directed graph E is associated a C∗-algebra C∗(E) called a graph C∗algebra. There is a canonical action γ of T on C∗(E), called the gauge action. In this paper we present necessary and sufficient conditions for the fixed point algebra C(E) to be simple. Our results also yield some structure theorems for simple graph algebras.

First we establish a connection between the field of the real numbers and the extended max algebra, based on asymptotic equivalences. Next we propose a further extension of the extended max algebra that will correspond to the field of the complex numbers. Finally we use the analogy between the field of the real numbers and the extended max algebra to define the singular value decomposition of a...

We analyze the near horizon symmetry of extremal Kerr black hole within framework Poincar\'e gauge theory (PG) for two important limiting cases: Riemannian and teleparallel solution. show that algebra canonical generators is realized by Virasoro algebra, with central charge which depends on radius . The conformal entropy obtained via Cardy formula.