Linear versus spin: representation theory of the symmetric groups
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Publication:2297557
DOI10.5802/alco.92zbMath1504.20017arXiv1811.10434OpenAlexW2901313923MaRDI QIDQ2297557
Publication date: 20 February 2020
Published in: Algebraic Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.10434
asymptotic representation theoryprojective representations of symmetric groupslinear representations of symmetric groupsStanley character formula
Representations of finite symmetric groups (20C30) Combinatorial aspects of groups and algebras (05E16)
Related Items (4)
Symmetric group characters of almost square shape ⋮ Normalized characters of symmetric groups and Boolean cumulants via Khovanov's Heisenberg category ⋮ Random strict partitions and random shifted tableaux ⋮ Stanley character formula for the spin characters of the symmetric groups
Cites Work
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- Explicit formulae for Kerov polynomials
- Asymptotics of characters of symmetric groups related to Stanley character formula
- Zonal polynomials via Stanley's coordinates and free cumulants
- Stanley's formula for characters of the symmetric group.
- Explicit combinatorial interpretation of Kerov character polynomials as numbers of permutation factorizations
- Shifted tableaux and the projective representations of symmetric groups
- Representations of symmetric groups and free probability
- Graphs on surfaces and their applications. Appendix by Don B. Zagier
- A spin analogue of Kerov polynomials
- Irreducible symmetric group characters of rectangular shape.
- Gaussian limit for projective characters of large symmetric groups
- Asymptotics of Jack characters
- Random strict partitions and random shifted tableaux
- Stanley character formula for the spin characters of the symmetric groups
- Jack polynomials and orientability generating series of maps
- Bijection between oriented maps and weighted non-oriented maps
- Upper bound on the characters of the symmetric groups for balanced Young diagrams and a generalized Frobenius formula.
- Gaussian fluctuations of characters of symmetric groups and of Young diagrams
- On the formula of Goulden and Rattan for Kerov polynomials
- The Limit Shape Problem for Ensembles of Young Diagrams
- Representation Theory of Symmetric Groups
- Stanley character polynomials
- Combinatorics of asymptotic representation theory
- An explicit form for Kerov's character polynomials
- Young's Orthogonal Form of Irreducible Projective Representations of the Symmetric Group
- Lectures on spin representation theory of symmetric groups
- Asymptotics for skew standard Young tableaux via bounds for characters
- On random shifted standard Young tableaux and 132-avoiding sorting networks
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