Normalized characters of symmetric groups and Boolean cumulants via Khovanov's Heisenberg category
From MaRDI portal
Publication:2689007
DOI10.1016/j.jcta.2023.105735OpenAlexW4317952552MaRDI QIDQ2689007
Publication date: 6 March 2023
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.15743
Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46Lxx)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Gaussian fluctuations of Young diagrams and structure constants of Jack characters
- Free probability and random matrices
- A new approach to representation theory of symmetric groups
- Combinatorial interpretation and positivity of Kerov's character polynomials
- Explicit combinatorial interpretation of Kerov character polynomials as numbers of permutation factorizations
- Jack polynomials and free cumulants
- Représentations factorielles de type \(II_1\) de \(U(\infty)\)
- Representations of symmetric groups and free probability
- Multiplicative functions on the lattice of non-crossing partitions and free convolution
- A spin analogue of Kerov polynomials
- Degenerate cyclotomic Hecke algebras and higher level Heisenberg categorification
- Semiclassical asymptotics of \(\mathrm {GL}_N(\mathbb C)\) tensor products and quantum random matrices
- Trace of the twisted Heisenberg category
- A graphical calculus for the Jack inner product on symmetric functions
- Heisenberg categorification and Hilbert schemes
- On the definition of Heisenberg category
- Asymptotic theory of characters of the symmetric group
- Representations of unitary groups and free convolution
- Hecke algebras, finite general linear groups, and Heisenberg categorification.
- On a categorical Boson-Fermion correspondence
- The center of the twisted Heisenberg category, factorial Schur \(Q\)-functions, and transition functions on the Schur graph
- On the definition of quantum Heisenberg category
- Inductive limits of compact quantum groups and their unitary representations
- Linear versus spin: representation theory of the symmetric groups
- Quantized Vershik-Kerov theory and quantized central measures on branching graphs
- Frobenius Heisenberg categorification
- Representations of classical Lie groups and quantized free convolution
- A general approach to Heisenberg categorification via wreath product algebras
- Upper bound on the characters of the symmetric groups for balanced Young diagrams and a generalized Frobenius formula.
- Asymptotics of \(q\)-Plancherel measures.
- Integrable probability: from representation theory to MacDonald processes
- Random matrices, free probability, planar algebras and subfactors
- Lectures on the Combinatorics of Free Probability
- Lectures on integrable probability
- Characters of infinite-dimensional quantum classical groups: BCD cases
- Type classification of extreme quantized characters
- Macdonald processes, quantum integrable systems and the Kardar-Parisi-Zhang universality class
- Heisenberg algebra and a graphical calculus
- Khovanov's Heisenberg category, moments in free probability, and shifted symmetric functions
- The algebra of conjugacy classes in symmetric groups, and partial permutations
This page was built for publication: Normalized characters of symmetric groups and Boolean cumulants via Khovanov's Heisenberg category