✦ LIBER ✦

Construction of Modules for Lie Superalgebras of Type C

✍ Scribed by C.Y. Lee

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 641 KB
Volume: 176
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1995.1242

No coin nor oath required. For personal study only.

✦ Synopsis

Let (\lambda) be a partition of some nonnegative integer (f). Let (n) be any integer such that (n \geq \lambda_{1}+1). Then (\lambda) labels a weight for the Lie superalgebra (C_{n}). Let (V^{\prime}(\lambda)) denote the irreducible module for (C_{n}) with highest weight labelled by (\lambda). We construct (V(\lambda)) explicitly as a submodule of (\otimes^{\prime} V), the (f)-fold tensor product of the natural representation of (C_{n}). ce 1495 Academic Press. Inc.

📜 SIMILAR VOLUMES

Representations for Lie superalgebras of

Representations for Lie superalgebras of type C

✍ Chanyoung Lee Shader 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 152 KB

Let G = osp(2, 2n) be the classical Lie superalgebra of type C of rank n + 1. Let λ be a partition with λ 1 n. Then λ labels a finite-dimensional irreducible G-module, V (λ). We describe the character of V (λ) in terms of tableaux. This tableaux description of characters enable us to decompose T = f

Categories of Finite Dimensional Weight

Categories of Finite Dimensional Weight Modules over Type I Classical Lie Superalgebras

✍ Yi Ming Zou 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 266 KB

Construction of Finitely Presented Lie A

Construction of Finitely Presented Lie Algebras and Superalgebras

✍ VLADIMIR P. GERDT; VLADIMIR V KORNYAK 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 455 KB

We consider the following problem: what is the most general Lie algebra or superalgebra satisfying a given set of Lie polynomial equations? The presentation of Lie (super)algebras by a finite set of generators and defining relations is one of the most general mathematical and algorithmic schemes of

Blocks of Lie Superalgebras of Type W(n)

✍ Noam Shomron 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 118 KB

The Center of a Simple P-Type Lie Supera

The Center of a Simple P-Type Lie Superalgebra

✍ Maria Gorelik 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 153 KB

We describe the center of a simple Lie superalgebra of type P n . The description is based on the notion of anticenter.

Analogue of the classical invariant theo

Analogue of the classical invariant theory for Lie superalgebras

✍ A. N. Sergeev 📂 Article 📅 1992 🏛 Springer US 🌐 English ⚖ 230 KB