✦ LIBER ✦

Existence of a Lie bialgebra structure on every Lie algebra

✍ Scribed by Vivian Smedt

Publisher: Springer
Year: 1994
Tongue: English
Weight: 242 KB
Volume: 31
Category: Article
ISSN: 0377-9017
DOI: 10.1007/bf00761714

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On Some Lie Bialgebra Structures on Poly

On Some Lie Bialgebra Structures on Polynomial Algebras and their Quantization

✍ S. M. Khoroshkin; I. I. Pop; M. E. Samsonov; A. A. Stolin; V. N. Tolstoy 📂 Article 📅 2008 🏛 Springer 🌐 English ⚖ 495 KB

Lie-CR-structures on a real Lie algebra

✍ Daniele Gouthier 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 851 KB

Let g,, be a real Lie algebra and g its complexification. The aim of this paper is to study the Lie-CRstructures (in the following we shall call them just LCR-structures) on g,. To an LCR-structure corresponds a CR-structure on the associated real Lie group Go for which right and left translations a

On Some Universal Algebras Associated to

On Some Universal Algebras Associated to the Category of Lie Bialgebras

✍ B. Enriquez 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 195 KB

In our previous work (math/0008128), we studied the set Quant(K) of all universal quantization functors of Lie bialgebras over a field K of characteristic zero, compatible with the operations of taking duals and doubles. We showed that Quant ), where G 0 (K) is a universal group and Q Q(K) is a quot

A Class of Infinite-Dimensional Lie Bial

A Class of Infinite-Dimensional Lie Bialgebras Containing the Virasoro Algebra

✍ W. Michaelis 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 778 KB

In this note, we show explicitly how to obtain the structure of a Lie bialgebra on the Virasoro algebra (with or without a central extension), on the Witt algebra, and on many other Lie algebras. Previously, V. G. Drinfel'd (in a fundamental paper (1983, Soviet Math. Dokl. 27, No. 1, 68-71)), introd

CR-structures on a real Lie algebra

✍ Giuliana Gigante; Giuseppe Tomassini 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 737 KB

Levi-fat and then the Lie group G, corresponding to go is a Levi-flat CR-manifold. Moreover if q is an ideal, then p (with the complex structure J) is a complex subalgebra. In particular Go contains a complex Lie subgroup of positive dimension. In this paper we are interested in CR-structures of re

On Modular* Subalgebras of a Lie Algebra

✍ D.A. Towers 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 214 KB