Invariant theory for the free left-regular band and a \(q\)-analogue
DOI10.2140/pjm.2023.322.251zbMath1514.05181arXiv2206.11406MaRDI QIDQ6043860
Victor Reiner, Sarah Brauner, Patricia Commins
Publication date: 25 May 2023
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.11406
shufflesemigroupsymmetric groupgeneral linear groupStirling numbermonoidleft-regular bandunipotent characterrandom-to-randombidigare-hanlon-rockmorerandom-to-top
Bell and Stirling numbers (11B73) (q)-calculus and related topics (05A30) Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Combinatorial probability (60C05)
Cites Work
- Unnamed Item
- Representation theory of finite monoids
- Generalizations of an expansion formula for top to random shuffles
- A Hodge decomposition for the complex of injective words.
- \(p,q\)-Stirling numbers and set partition statistics
- Q-counting rook configurations and a formula of Frobenius
- Restricted growth functions, rank row matchings of partition lattices, and q-Stirling numbers
- A unified combinatorial approach for \(q\)- (and \(p,q\)-) Stirling numbers
- Counting permutations with given cycle structure and descent set
- Semigroups, rings, and Markov chains
- Spectral analysis of random-to-random Markov chains
- \(q\)-Stirling identities revisited
- The combinatorics of the bar resolution in group cohomology
- A combinatorial description of the spectrum for the Tsetlin library and its generalization to hyperplane arrangements
- Eigenvalues of symmetrized shuffling operators
- FI-modules and stability for representations of symmetric groups
- The q-Stirling numbers of first and second kinds
- Spectra of Symmetrized Shuffling Operators
- On the matrix occurring in a linear search problem
- On q-Derangement Numbers
- A q-Analog of Restricted Growth Functions, Dobinski's Equality, and Charlier Polynomials
- Representation Stability for Cohomology of Configuration Spaces in ${\mathbb{R}}^d$
- On Abelian Fields
- A Course in Finite Group Representation Theory
- A Geometric Approach to the Representations of the Full Linear Group Over a Galois Field
- On Symmetrized Kronecker Powers and the Structure of the Free Lie Ring
This page was built for publication: Invariant theory for the free left-regular band and a \(q\)-analogue