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Lie theory over commutative rings and lifting invariant forms
1996 (English)In: Lie algebras and their representations: a Symposium on Lie Algebras and Representation Theory, January 23-27, 1995, Seoul National University, Seoul, Korea / [ed] Seok-Jin Kang; Myung-Hwan Kim; Insok Lee, American Mathematical Society (AMS), 1996, Vol. Providence, RI, p. 47-56Conference paper, Published paper (Refereed)
Abstract [en]

This article reviews various results on highest weight modules for Lie algebras and quantized enveloping algebras defined over a commutative ring. Such results include the formula for the Shapovalov determinant and Jantzen's character sum formula, which were extended to the quantum case by A. Joseph and G. Letzter \ref[Math. Z. 222 (1996), no. 4, 543--571 At the end of the article some joint work with T. J. Enright is discussed. This work, which involved localization and lifting of invariant forms, appeared in 1995 \ref[Comm. Algebra 23 (1995), no. 6, 2215--2254

Place, publisher, year, edition, pages
American Mathematical Society (AMS), 1996. Vol. Providence, RI, p. 47-56
Series
Contemporary Mathematics, ISSN 0271-4132 ; 194
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-26943Local ID: 0360c060-b5fc-11db-bf94-000ea68e967bISBN: 0-8218-0512-6 (print)OAI: oai:DiVA.org:ltu-26943DiVA, id: diva2:1000124
Conference
Symposium on Lie Algebras and Representation Theory : 23/01/1995 - 27/01/1995
Note
Godkänd; 1996; 20070206 (kani)Available from: 2016-09-30 Created: 2016-09-30Bibliographically approved

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