𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Generalized symmetrization in enveloping algebras

✍ Scribed by Grigori Olshanski

Book ID
105129084
Publisher
SP Birkhäuser Verlag Boston
Year
1997
Tongue
English
Weight
704 KB
Volume
2
Category
Article
ISSN
1083-4362

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Generalized Reduced Enveloping Algebras
Generalized Reduced Enveloping Algebras for Restricted Lie Algebras
✍ Christopher P Bendel 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 272 KB

We observe that any finite-dimensional indecomposable module for a restricted Lie algebra over an algebraically closed field is a module for a finite-dimensional quotient of the universal enveloping algebra. These algebras form a two-parameter family which generalizes the notion of a reduced envelop

Growth in enveloping algebras
Growth in enveloping algebras
✍ A. I. Lichtman 📂 Article 📅 1984 🏛 The Hebrew University Magnes Press 🌐 English ⚖ 345 KB
Symmetric Pairs for Quantized Enveloping
Symmetric Pairs for Quantized Enveloping Algebras
✍ Gail Letzter 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 290 KB

Let θ be an involution of a semisimple Lie algebra g, let g θ denote the fixed Lie subalgebra, and assume the Cartan subalgebra of g has been chosen in a suitable way. We construct a quantum analog of U g θ which can be characterized as the unique subalgebra of the quantized enveloping algebra of g

Intermediate Growth in Lie Algebras and
Intermediate Growth in Lie Algebras and Their Enveloping Algebras
✍ V.M. Petrogradsky 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 276 KB

In this paper a series of dimensions is suggested which includes as first terms dimension of a vector space, Gelfand᎐Kirillov dimension, and superdimension. In terms of these dimensions we describe the change of a growth in transition from a Lie algebra to its universal enveloping algebra. Also, we