A natural idempotent in the descent algebra of a finite Coxeter group
DOI10.5802/alco.310OpenAlexW4388555029MaRDI QIDQ6200572
Publication date: 1 March 2024
Published in: Algebraic Combinatorics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.5802/alco.310
idempotentsCoxeter groupcentral limit theoremsdescentspermutation representationdescent algebrareflection representation
Permutations, words, matrices (05A05) Representations of finite symmetric groups (20C30) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Combinatorial aspects of groups and algebras (05E16)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Diagonalization of matrices of statistics
- The distance spectra of Cayley graphs of Coxeter groups
- A decomposition of the descent algebra of a finite Coxeter group
- A decomposition of Solomon's descent algebra
- On the quiver of the descent algebra.
- Permutation statistics and partitions
- A Mackey formula in the group of a Coxeter group. With an appendix by J. Tits: Two properties of Coxeter complexes
- A proof of Solomon's rule
- Semigroups, rings, and Markov chains
- On the dual complexity and spectra of some combinatorial functions
- A central limit theorem for a new statistic on permutations
- A combinatorial description of the spectrum for the Tsetlin library and its generalization to hyperplane arrangements
- A central limit theorem for the two-sided descent statistic on Coxeter groups
- On the central limit theorem for the two-sided descent statistics in Coxeter groups
- Asymptotics of a locally dependent statistic on finite reflection groups
- On the relationship between combinatorial functions and representation theory
- Spectral properties of descent algebra elements.
- Combinatorics of Permutations
- Spectra of Symmetrized Shuffling Operators
- Combinatorics of Coxeter Groups
- Finite Reflection Groups
- Solomon's Descent Algebra Revisited
- A New Proof of a Theorem of Solomon
- Major Index and Inversion Number of Permutations
- The Tutte polynomial of symmetric hyperplane arrangements
- Counting inversions and descents of random elements in finite Coxeter groups
- Eulerian Numbers
- On the Netto Inversion Number of a Sequence
- q-Bernoulli and Eulerian Numbers
- The flag major index and group actions on polynomial rings.
- Reflection groups and invariant theory
This page was built for publication: A natural idempotent in the descent algebra of a finite Coxeter group