Operator calculi associated with reflection groups
type: Item
instance of: scholarly article
title: Operator calculi associated with reflection groups
zbMATH Open document ID: 0629.57027
DOI: 10.1215/S0012-7094-87-05501-3
author: Eugene Gutkin
published in: Duke Mathematical Journal
publication date: 1987-01-01T00:00:00Z
review text: The author puts some well-known results on certain finite difference (BGG-) operators associated with elements of the Weyl group [see the author's paper, Duke Math. J. 49, 1-21 (1982; Zbl 0517.35026)] in a more general framework which is connected with reflection groups on manifolds [see \textit{M. W. Davis}, Ann. Math., II. Ser. 117, 293-324 (1983; Zbl 0531.57041)].
Mathematics Subject Classification ID: 57S30
Mathematics Subject Classification ID: 57N15
Mathematics Subject Classification ID: 20H15
Mathematics Subject Classification ID: 54H15
Mathematics Subject Classification ID: 20G45
zbMATH DE Number: 4024327
zbMATH Keywords: finite difference operators
zbMATH Keywords: Weyl group
zbMATH Keywords: semisimple Lie group
zbMATH Keywords: simple reflections
zbMATH Keywords: Schubert calculus on flag varieties
zbMATH Keywords: quantum Hamiltonians
zbMATH Keywords: Euclidean reflection groups
zbMATH Keywords: Bethe Ansatz
zbMATH Keywords: reflection groups on manifolds
reviewed by: Boris N. Apanasov
MaRDI profile type: Publication
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full work available at URL: s0012-7094-87-05501-3
OpenAlex ID: W1993408855
description: scientific article; zbMATH DE number 4024327