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Title: Orthogonal basis for the Shapovalov form on U-q (sl(n+1))
Authors: Mudrov, Andrey
First Published: 1-Mar-2015
Publisher: World Scientific Publishing
Citation: Reviews in Mathematical Physics, 2015, 27 (2)
Abstract: Let U be either the classical or quantized universal enveloping algebra of the Lie algebra sl(n + 1) extended over the field of fractions of the Cartan subalgebra. We suggest a PBW basis in U over the extended Cartan subalgebra diagonalizing the contravariant Shapovalov form on generic Verma module. The matrix coefficients of the form are calculated and the inverse form is explicitly constructed.
DOI Link: 10.1142/S0129055X1550004X
ISSN: 0129-055X
eISSN: 1793-6659
Version: Post-print
Status: Peer-reviewed
Type: Journal Article
Rights: Copyright © 2015,World Scientific Publishing. Deposited with reference to the publisher’s open access archiving policy.
Appears in Collections:Published Articles, Dept. of Mathematics

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