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Highest weights, projective geometry, and the classical limit: I. Geometrical aspects and the classical limit

Abstract:
This paper starts with a new proof that highest weight vectors for semi-simple Lie group representations can be characterised by quadratic equations, and finds the automorphism group of this quadratic variety. The idea is illustrated by various geometrical examples. Various generalisations to Clifford algebras and quantum groups are explored, as well as the relationship between geometry, second quantisation, and the classical limit. © 2000 Elsevier Science B.V.
Publication status:
Published

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Journal:
JOURNAL OF GEOMETRY AND PHYSICS
Volume:
34
Issue:
1
Pages:
1-28
Publication date:
2000-05-05
DOI:
ISSN:
0393-0440
URN:
uuid:3ab3b93e-3caa-49e8-a325-3cb552359a30
Source identifiers:
25147
Local pid:
pubs:25147

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