✦ LIBER ✦

An application of Lie superalgebras to affine Lie algebras

✍ Scribed by Vyjayanthi Chari; Andrew Pressley

Publisher: Elsevier Science
Year: 1990
Tongue: English
Weight: 621 KB
Volume: 135
Category: Article
ISSN: 0021-8693
DOI: 10.1016/0021-8693(90)90158-k

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

An Application of Crystal Bases to Repre

An Application of Crystal Bases to Representations of Affine Lie Algebras

✍ M.K. Bos; K.C. Misra 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 665 KB

It has been shown that up to degree shifts any integrable highest weight (or standard) module of level \(k\) for an affine Lie algebra \(g\) can be imbedded in the tensor product of \(k\) copies of level one integrable highest weight modules. When the affine Lie algebra \(g\) is of classical type th

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

Coordinate Algebras of Extended Affine L

Coordinate Algebras of Extended Affine Lie Algebras of Type A1

✍ Yoji Yoshii 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 311 KB

The cores of extended affine Lie algebras of reduced types were classified except for type A 1 . In this paper we determine the coordinate algebra of extended affine Lie algebras of type A 1 . It turns out that such an algebra is a unital n -graded Jordan algebra of a certain type, called a Jordan t

Crystals for Demazure Modules of Classic

Crystals for Demazure Modules of Classical Affine Lie Algebras

✍ Atsuo Kuniba; Kailash C. Misra; Masato Okado; Taichiro Takagi; Jun Uchiyama 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 336 KB

We study, in the path realization, crystals for Demazure modules of affine Lie algebras of types A Ž1. , B Ž1. , C Ž1. , D Ž1. , A Ž2. , A Ž2. , and D Ž2. . We find a special sequence of affine Weyl group elements for the selected perfect crystal, and show that if the highest weight is l⌳ , the Dem

Invariants of Real Forms of Affine Kac-M

Invariants of Real Forms of Affine Kac-Moody Lie Algebras

✍ Punita Batra 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 217 KB

The theory of Vogan diagrams, which are Dynkin diagrams with an overlay of certain additional information, allows one to give a rapid classification of finitedimensional real semisimple Lie algebras and to make use of this classification in practice. This paper develops a corresponding theory of Vog

A new class of unitary representations f

A new class of unitary representations for affine Lie Algebras

✍ S.E Rao 📂 Article 📅 1989 🏛 Elsevier Science 🌐 English ⚖ 1015 KB