✦ LIBER ✦

Properties of Free Baxter Algebras

✍ Scribed by Li Guo

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 235 KB
Volume: 151
Category: Article
ISSN: 0001-8708
DOI: 10.1006/aima.1999.1898

No coin nor oath required. For personal study only.

✦ Synopsis

The study of free Baxter algebras was started by Rota and Cartier 30 years ago. We continue this study by applying two recent constructions of free Baxter algebras. We investigate the basic structure of a free Baxter algebra and characterize in detail when a free Baxter algebra is a domain or a reduced algebra. We also describe the nilpotent radical of a free Baxter algebra when it is not reduced.

📜 SIMILAR VOLUMES

On Free Baxter Algebras: Completions and

On Free Baxter Algebras: Completions and the Internal Construction

✍ Li Guo; William Keigher 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 244 KB

Free *-subalgebras of C*-algebras

✍ A.Y. Samet-Vaillant 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 179 KB

The aim of this work is to study the existence of free \*-subalgebras in C\*algebras. The Kurosh Levitzky Problem and related conjectures of Makar-Limanov are answered in the context of C\*-algebras. In particular, we characterize and study the existence of free non-Abelian \*-subalgebras with two s

Free Products of Units in Algebras I. Qu

Free Products of Units in Algebras I. Quaternion Algebras

✍ Jairo Z Gonçalves; Arnaldo Mandel; Mazi Shirvani 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 128 KB

Let A be a quaternion algebra over a commutative unital ring. We find sufficient conditions for pairs of units of A to generate a free group. Using the Ž . well-known isomorphism between SO 3, ‫ޒ‬ and the group of real quaternions of norm 1, we obtain free groups of rotations of the Euclidean 3-spac

The Ideals of Free Differential Algebras

✍ C Frønsdal; A Galindo 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 243 KB

We consider the free C-algebra B B with N generators , together relationship to generalized, quantized Kac᎐Moody algebras suggests an approach to the problem of classification of these algebras.

Structure of Divergence-Free Lie Algebra

Structure of Divergence-Free Lie Algebras

✍ Yucai Su; Xiaoping Xu 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 277 KB

One of the four well-known series of simple Lie algebras of Cartan type is the series of Lie algebras of Special type, which are divergence-free Lie algebras associated with polynomial algebras and the operators of taking partial derivatives, connected with volume-preserving diffeomorphisms. In this

Weak Hopf Algebras and Some New Solution

Weak Hopf Algebras and Some New Solutions of the Quantum Yang–Baxter Equation

✍ Fang Li 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 316 KB

In this paper, the concepts of a weak Hopf algebra and a quasi-braided almost bialgebra are introduced. It is shown that the quantum quasi-doubles of some weak Hopf algebras are quasi-braided almost bialgebras. This fact implies that some new solutions of the quantum Yang᎐Baxter equation can be cons