Models of representations of classical groups and their hidden symmetries

DOI10.1007/BF01086156zbMath0573.22008OpenAlexW2068630497MaRDI QIDQ1063125

Andrei V. Zelevinsky, Israel M. Gel'fand

Publication date: 1984

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01086156

zbMATH Keywords

Lie superalgebraGrassmannianLie supergroupcompact symmetric spacescomplex reductive algebraic groupind-models

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

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Odd symplectic groups, Dirac cohomology and geometric quantization, The Schwinger SU(3) construction. I. Multiplicity problem and relation to induced representations, \(BC_{N}\)-graded Lie algebras arising from fermionic representations, Reinhardt domains and toric models., Partial Dirac cohomology and tempered representations, Schwinger representation for the symmetric group:Two explicit constructions for the carrier space, Unnamed Item, On the relation between spin systems and fermion systems, A holonomic systems approach to special functions identities, Regular principal models of split semisimple Lie groups, Partially harmonic forms and models of \(H\)-series, Geometric quantization and Zuckerman models of semisimple Lie groups, Gelfand–Tsetlin Bases for Classical Lie Algebras, Tensor operator I The concept of a coerent tensor operator, Higher-dimensional geometries from matrix brane constructions, SU(N) irreducible Schwinger bosons, Holomorphic discrete models of semisimple Lie groups and their symplectic constructions, Invariants, projection operators and SU(N)×SU(N) irreducible Schwinger bosons, Kähler structures on complex torus

Cites Work

• Classification of real simple Lie superalgebras and symmetric superspaces
• The Weil representation, Maslov index and theta series
• Representations of real reductive Lie groups
• Some remarks suggesting an interesting theory of harmonic functions on SU(2n+1)/Sp(n) and SO(2n+1)/U(n)
• THE CONSTRUCTION OF A MODEL OF REPRESENTATIONS OF THE GENERAL LINEAR GROUP OVER A FINITE FIELD OF ODD CHARACTERISTIC
• Lie superalgebras
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
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• Unnamed Item
• Unnamed Item