✦ LIBER ✦

Quantized Universal Enveloping Algebras andq-de Rham Cocycles

✍ Scribed by Abdellah Sebbar

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 220 KB
Volume: 210
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1998.7583

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Computing with Quantized Enveloping Alge

Computing with Quantized Enveloping Algebras: PBW-Type Bases, Highest-Weight Modules andR-Matrices

✍ W.A. de Graaf 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 367 KB

Let Uq(g) be the quantized enveloping algebra corresponding to the semisimple Lie algebra g. We describe algorithms to obtain the multiplication table of a PBW-type basis of Uq(g). We use this to obtain an algorithm for calculating a Gröbner basis of an ideal in the subalgebra U -, which leads to a

Special Bases of Irreducible Modules of

Special Bases of Irreducible Modules of the Quantized Universal Enveloping Algebra Uv(gl(n))

✍ N.H. Xi 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 299 KB

In this paper we construct a basis for an irreducible module of the quantized enveloping algebra \(U_{r}(g /(n))\) which is a \(q\)-analogue of the special basis of an irreducible \(G L(n)\)-module introduced by C. de Concini and D. Kazhdan (Israel J. Math. 40, 1980, 275-290). We conjecture the basi

Fock Space Representations of the Quanti

Fock Space Representations of the Quantized Universal Enveloping Algebras Uq(C(1)l), Uq(A(2)2l), and Uq(D(2)l+1)

✍ S.J. Kang; K.C. Misra; T. Miwa 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 315 KB