Quantized enveloping superalgebra of type \(P\)

DOI10.1007/s11005-021-01424-yzbMath1472.17048arXiv2101.09800OpenAlexW3176268125MaRDI QIDQ2046834

Nicolas Guay, Saber Ahmed, Dimitar Grantcharov

Publication date: 19 August 2021

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.09800

zbMATH Keywords

quantizationperiplectic Lie superalgebraLie bisuperalgebraperiplectic \(q\)-Brauer algebraperiplectic \(q\)-Schur superalgebraquantized enveloping superalgebra

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08) Yang-Baxter equations (16T25)

Related Items (2)

On the Harish-Chandra homomorphism for quantum superalgebras ⋮ Highest weight modules over the quantum periplectic superalgebra of type \(P\)

Cites Work

• Unnamed Item
• Quantum walled Brauer-Clifford superalgebras
• Twisted affine Lie superalgebra of type \(Q\) and quantization of its enveloping superalgebra
• Quantum queer superalgebra and crystal bases
• Highest weight modules over quantum queer superalgebra \(U_q(\mathfrak {q}(n))\)
• Quantized universal enveloping superalgebra of type \(Q\) and a super- extension of the Hecke algebra
• Affine periplectic Brauer algebras
• A \(q\)-Brauer algebra
• On representations of the Lie superalgebra \(p\)(\(n\))
• Yangian of the queer Lie superalgebra
• Grothendieck rings of periplectic Lie superalgebras
• Irreducible calibrated representations of periplectic Brauer algebras and hook representations of the symmetric group
• Denominator identities for the periplectic Lie superalgebra
• The affine VW supercategory
• Translation functors and decomposition numbers for the periplectic Lie superalgebra \(\mathfrak{p}(n)\)
• The periplectic Brauer algebra. II: Decomposition multiplicities
• Yangians of the “strange” lie superalgebras
• Deformation of the strange superalgebra P(n)
• Manin-Olshansky Triples for Lie Superalgebras
• THE QUEER -SCHUR SUPERALGEBRA
• The periplectic Brauer algebra
• Tensor Product Representations of the Lie Superalgebra 𝔭(n) and Their Centralizers
• Kac–Wakimoto conjecture for the periplectic Lie superalgebra
• Presenting Queer Schur Superalgebras
• The marked Brauer category
• Lie superalgebras

This page was built for publication: Quantized enveloping superalgebra of type \(P\)