Infinite rank spinor and oscillator representations

DOI10.4171/JCA/1-2-2zbMath1370.15024arXiv1604.06368OpenAlexW2337794625MaRDI QIDQ528823

Steven V. Sam, Andrew Snowden

Publication date: 16 May 2017

Published in: Journal of Combinatorial Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.06368

zbMATH Keywords

symplectic Lie algebrainvariant theoryrepresentation stabilitySchur functorsspin representationsoscillator representations

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Representation theory for linear algebraic groups (20G05) Vector and tensor algebra, theory of invariants (15A72) Clifford algebras, spinors (15A66) Multilinear algebra, tensor calculus (15A69)

Related Items (7)

𝑆𝑝-equivariant modules over polynomial rings in infinitely many variables ⋮ Ultrahomogeneous tensor spaces ⋮ Jacobi-Trudi formulas and determinantal varieties ⋮ Orthosymplectic Lie superalgebras, Koszul duality, and a complete intersection analogue of the Eagon-Northcott complex ⋮ Littlewood complexes for symmetric groups ⋮ The spin-Brauer diagram algebra ⋮ The representation theory of Brauer categories. I: triangular categories

Cites Work

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• Noetherianity of some degree two twisted commutative algebras
• Homology of Littlewood complexes
• Homology of analogues of Heisenberg Lie algebras
• Kostant homology formulas for oscillator modules of Lie superalgebras
• Young-diagrammatic methods for the representation theory of the classical groups of type \(B_ n\), \(C_ n\), \(D_ n\)
• Embeddings of Schur functions into types \(B/C/D\)
• Representations of spinor groups and the difference characters of \(SO(2n)\)
• Laplacian and homology of free two-step nilpotent Lie algebras
• STABILITY PATTERNS IN REPRESENTATION THEORY
• Tensor Representations of Classical Locally Finite Lie Algebras
• Categories of integrable $sl(\infty)$-, $o(\infty)$-, $sp(\infty)$-modules
• Representation-theoretic interpretation of a formula of D. E. Littlewood
• Littlewood Complexes and Analogues of Determinantal Varieties

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