✦ LIBER ✦

On the Representation Radical of Complex Lie Groups

✍ Scribed by Dong Hoon Lee; Ta-Sun Wu

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 174 KB
Volume: 180
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1996.0066

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On the Self-Dual Representations of Fini

On the Self-Dual Representations of Finite Groups of Lie Type

✍ Dipendra Prasad 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 134 KB

1. Introduction 2. Preliminaries 3. The main lemma 4. The main theorem Ž . 5. Self-dual representations for GL n, F q 6. Calculation of the element s and consequences 7. Symplectic groups Ž . 8. Self-dual representations for SL n, F q Ž . 9. The counterexample for SL 6, F , q ' 3 mod 4 q 10. Referen

Exponential Radicals of Solvable Lie Gro

Exponential Radicals of Solvable Lie Groups

✍ D.V. Osin 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 127 KB

For any connected Lie group G, we introduce the notion of exponential radical Exp G that is the set of all strictly exponentially distorted elements of G. In case G is a connected simply-connected solvable Lie group, we prove that Exp G is a connected normal Lie subgroup in G and the exponential rad

Integrating Unitary Representations of I

Integrating Unitary Representations of Infinite-Dimensional Lie Groups

✍ Valerio Toledano Laredo 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 237 KB

We show that in the presence of suitable commutator estimates, a projective unitary representation of the Lie algebra of a connected and simply connected Lie group G exponentiates to G. Our proof does not assume G to be finite-dimensional or of Banach Lie type and therefore encompasses the diffeomor

On the Surjectivity of the Exponential F

On the Surjectivity of the Exponential Function of Complex Algebraic, Complex Semisimple, and Complex Splittable Lie Groups

✍ Michael Wüstner 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 166 KB

The surjectivity of the exponential function of complex algebraic, in particular of complex semisimple Lie groups, and of complex splittable Lie groups is equivalent to the connectedness of the centralizers of the nilpotent elements in the Lie algebra. This implies that the only complex semisimple L

Computing Representations of a Lie Group

Computing Representations of a Lie Group via the Universal Enveloping Algebra

✍ Philip Feinsilver; René Schott 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 373 KB

We present an algorithm for the computation of representations of a Lie algebra acting on its universal enveloping algebra. This is a new algorithm which permits the effective computation of these representations and of the matrix elements of the corresponding Lie group. The approach is based on a m

Some Graded Representations of the Compl

Some Graded Representations of the Complex Reflection Groups

✍ Edward E. Allen 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 282 KB