Defect 2 spin blocks of symmetric groups and canonical basis coefficients

DOI10.1090/ert/600OpenAlexW2944386278MaRDI QIDQ5068098

Matthew Fayers

Publication date: 5 April 2022

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.04080

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Representations of finite symmetric groups (20C30) Projective representations and multipliers (20C25)

Related Items (1)

Comparing Fock spaces in types \(A^{(1)}A^{(2)}\)

Uses Software

• GAP
• Spinsym

Cites Work

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• James' regularization theorem for double covers of symmetric groups.
• Cartan matrices and Morita equivalence for blocks of the symmetric groups
• Decomposition matrices for spin characters of symmetric groups at characteristic \(3\)
• Blocks and source algebras for the double covers of the symmetric and alternating groups
• Brauer trees for the Schur cover of the symmetric group.
• Morita equivalences of spin blocks of symmetric and alternating groups
• Perfect crystals and \(q\)-deformed Fock spaces
• Hecke-Clifford superalgebras, crystals of type 𝐴_{2ℓ}⁽²⁾ and modular branching rules for ̂𝑆_{𝑛}
• Crossover Morita equivalences for blocks of the covering groups of the symmetric and alternating groups
• FOCK SPACE REPRESENTATIONS OF QUANTUM AFFINE ALGEBRAS AND GENERALIZED LASCOUX-LECLERC-THIBON ALGORITHM
• Some combinatorial results involving shifted Young diagrams
• Blocks of Projective Representations of the Symmetric Groups
• Decomposition matrices for spin characters of symmetric groups
• Young's Orthogonal Form of Irreducible Projective Representations of the Symmetric Group
• q-Deformed Fock spaces and modular representations of spin symmetric groups
• SYMMETRIC GROUP BLOCKS OF DEFECT TWO
• Some decomposition numbers for Hecke algebras of general linear groups
• Projective representations of symmetric groups via Sergeev duality

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