18 citations · 75 across the 39 of their papers we have counts for
46 papers
A field-independent filtration of plethystic modules for that categorifies a product rule for the Cartan subalgebra of
Álvaro Gutiérrez, Álvaro L. Martínez, Michał Szwej +1
We lift a product rule in the Cartan subalgebra of quantum to a filtration of the plethystic representation of the affine group scheme…
Quantum computation and quantum error correction: the theoretical minimum
Mark Wildon
These notes introduce quantum computation and quantum error correction, emphasising the importance of stabilisers and the mathematical foundations in basic Lie theory. We begin by…
Modular isomorphisms of -plethysms for Weyl modules labelled by hook partitions
Álvaro Gutiérrez, Álvaro L. Martínez, Michał Szwej +1
Let be the Weyl functor for the partition and let be the natural -dimensional representation of , where is an arbitrary fie…
A new bijective proof of the -Pfaff--Saalschütz identity with applications to quantum groups
Álvaro Gutiérrez, Álvaro L. Martínez, Michał Szwej +1
We present a combinatorial proof of the -Pfaff--Saalschütz identity by a composition of explicit bijections, in which -binomial coefficients are interpreted as counting subsp…
Two stability theorems on plethysms of Schur functions
Rowena Paget, Mark Wildon
The plethysm product of Schur functions corresponds to composing polynomial representations of infinite general linear groups. Finding the plethysm coefficients $\langle s_ν\circ s…
Weak lumping of left-invariant random walks on left cosets of finite groups
Edward Crane, Álvaro Gutiérrez, Erin Russell +1
Let be a finite group and let be a subgroup of . The left-invariant random walk driven by a probability measure on is the Markov chain in which from any state $x…