7 citations · 14 across the 6 of their papers we have counts for
6 papers
A generalization of RSK to -complete posets
Son Nguyen, Joseph Vulakh, Dora Woodruff
The hook length formula for -complete posets expresses the number of linear extensions of a -complete poset in terms of hooks of . It generalizes the usual hook length…
On the set of atoms and strong atoms in additive monoids of cyclic semidomains
Jiya Dani, Anna Deng, Marly Gotti +4
Let be a cancellative and commutative monoid. A non-invertible element of is called an atom (or irreducible element) if it cannot be factored into two non-invertible elemen…
Positive Traces on Certain Coulomb Branches
Daniil Klyuev, Joseph Vulakh
For a noncommutative algebra and an antilinear automorphism of , there is a notion of a positive trace. When we have a three-dimensional $\mathcal{N}…
Twisted homogeneous racks over the alternating groups
Joseph Vulakh
An important step towards the classification of finite-dimensional pointed Hopf algebras is the classification of finite-dimensional Nichols algebras arising from braided vector sp…
On the atomic structure of torsion-free monoids
Felix Gotti, Joseph Vulakh
Let be a cancellative and commutative (additive) monoid. The monoid is atomic if every non-invertible element can be written as a sum of irreducible elements, which are als…
Length-Factoriality and Pure Irreducibility
Alan Bu, Joseph Vulakh, Alex Zhao
An atomic monoid is called length-factorial if for every non-invertible element , no two distinct factorizations of into irreducibles have the same length (i.e., n…