Representation of Real Forms of Witten’s First Deformation
نویسندگان
چکیده
Studying Jone’s polynomials in node theories, their generalization and their connections with ”vertex models” in two-dimensional statistical mechanics, Witten presents Hoph algebra deformations of the universal enveloping algebra su(2). There is a family of associative algebras depending on a real parameter p. These algebras are given by the generators E0, E+, E− and relations [2]: pE0E+ − 1 p E+E0 = E+, (1)
منابع مشابه
M ar 1 99 8 WITTEN DEFORMATION AND POLYNOMIAL DIFFERENTIAL FORMS
As is well-known, the Witten deformation dh of the De Rham complex computes the De Rham cohomology. In this paper we study the Witten deformation on a noncompact manifold M and restrict it to differential forms which behave polynomially near infinity. Such polynomial differential forms naturally appear on manifolds with a cylindrical structure. We prove that the cohomology of the Witten deforma...
متن کاملA Quadratic Deformation of the Heisenberg-Weyl and Quantum Oscillator Enveloping Algebras
A new 2-parameter quadratic deformation of the quantum oscillator algebra and its 1-parameter deformed Heisenberg subalgebra are considered. An infinite dimensional Fock module representation is presented which at roots of unity contains null vectors and so is reducible to a finite dimensional representation. The cyclic, nilpotent and unitary representations are discussed. Witten’s deformation ...
متن کاملDeformation of Outer Representations of Galois Group II
This paper is devoted to deformation theory of "anabelian" representations of the absolute Galois group landing in outer automorphism group of the algebraic fundamental group of a hyperbolic smooth curve defined over a number-field. In the first part of this paper, we obtained several universal deformations for Lie-algebra versions of the above representation using the Schlessinger criteria for...
متن کاملDeformation of Outer Representations of Galois Group
To a hyperbolic smooth curve defined over a number-field one naturally associates an "anabelian" representation of the absolute Galois group of the base field landing in outer automorphism group of the algebraic fundamental group. In this paper, we introduce several deformation problems for Lie-algebra versions of the above representation and show that, this way we get a richer structure than t...
متن کاملFrequency Effects of Regular Past Tense Forms in English on Native Speakers’ and Second Language Learners’ Accuracy Rate and Reaction Time
There is substantial debate over the mental representation of regular past tense forms in both first language (L1) and second language (L2) processing. Specifically, the controversy revolves around the nature of morphologically complex forms such as the past tense –ed in English and how morphological structures of such forms are represented in the mental lexicon. This study focuses on the resul...
متن کامل