Fock space representations of the quantized universal enveloping algebras \(U_ q(C^{(1)}_ l)\), \(U_ q(A^{(2)}_{2l})\), and \(U_ q(D^{(2)}_{l+1})\)

DOI10.1006/JABR.1993.1042zbMath0777.17009OpenAlexW2086241181MaRDI QIDQ1209600

Kailash C. Misra, Seok-Jin Kang, Tetsuji Miwa

Publication date: 16 May 1993

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

Full work available at URL: https://doi.org/10.1006/jabr.1993.1042

zbMATH Keywords

fundamental representationsquantum groupaffine Lie algebrasintegrable representations\(q\)-analogue of the Fock space

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)

Related Items (5)

Representation type of finite quiver Hecke algebras of type \(C^{(1)}_{l}\) ⋮ Polyhedral realizations for \(B(\infty)\) and extended Young diagrams, Young walls of type \(\mathrm{A}^{(1)}_{n-1}\), \(\mathrm{C}^{(1)}_{n-1}\), \(\mathrm{A}^{(2)}_{2n-2}\), \(\mathrm{D}^{(2)}_n\) ⋮ Polyhedral realizations for crystal bases of integrable highest weight modules and combinatorial objects of type \(\mathrm{A}^{(1)}_{n-1}, \mathrm{C}^{(1)}_{n-1}, \mathrm{A}^{(2)}_{2n-2}, \mathrm{D}^{(2)}_n\) ⋮ Crystal bases and generalized Lascoux–Leclerc–Thibon (LLT) algorithm for the quantum affine algebra Uq(Cn(1)) ⋮ Specht modules for quiver Hecke algebras of type \(C\)

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