10 citations · 12 across the 11 of their papers we have counts for
19 papers
Superalgebra deformations of web categories: finite webs
Nicholas Davidson, Jonathan R. Kujawa, Robert Muth +1
Let be a characteristic zero domain. For a locally unital -superalgebra with distinguished idempotents and even subalgebra ,…
Non-Disclosing Credential On-chaining for Blockchain-based Decentralized Applications
Jonathan Heiss, Robert Muth, Frank Pallas +1
Many service systems rely on verifiable identity-related information of their users. Manipulation and unwanted exposure of this privacy-relevant information, however, must at the s…
Analysis of Arbitrary Content on Blockchain-Based Systems using BigQuery
Marcel Gregoriadis, Robert Muth, Martin Florian
Blockchain-based systems have gained immense popularity as enablers of independent asset transfers and smart contract functionality. They have also, since as early as the first Bit…
The configuration space of a robotic arm over a graph
Derric Denniston, Robert Muth, Vikram Singh
We investigate the configuration space associated with the movement of a robotic arm of length on a grid over an underlying graph , anchored at a…
Howe Duality of Type P
Nicholas Davidson, Jonathan R. Kujawa, Robert Muth
We establish classical and categorical Howe dualities between the Lie superalgebras and , for . We also describe a presentation via g…
Webs of Type P
Nicholas Davidson, Jonathan R. Kujawa, Robert Muth
This paper introduces type P web supercategories. They are defined as diagrammatic monoidal -linear supercategories via generators and relations. We study the structure of these…
Injectively -colored rooted forests
Thomas Einolf, Robert Muth, Jeffrey Wilkinson
We enumerate injectively -colored rooted forests with a given number of vertices of each color and a given sequence of root colors. We obtain from this result some new multi-par…
Decomposable Specht modules indexed by bihooks II
Robert Muth, Liron Speyer, Louise Sutton
Previously, the last two authors found large families of decomposable Specht modules labelled by bihooks, over the Iwahori--Hecke algebra of type . In most cases we conjectured…
Searching for quicksand ideals in partially ordered sets
Alexas Iams, Hannah Johnston, Robert Muth
We consider a combinatorial question about searching for an unknown ideal within a known poset . Elements of may be queried for membership in , but at most positi…
Cuspidal ribbon tableaux in affine type A
Dina Abbasian, Lena Difulvio, Robert Muth +3
For any convex preorder on the set of positive roots of affine type A, we classify and construct all associated cuspidal and semicuspidal skew shapes. These combinatorial objects c…
Cooperative half-guards in art galleries
Daniel Florentino, Ethan Moy, Robert Muth
In any simple polygonal art gallery with n walls, we show that it is possible to place floor(n/2)-1 guards whose range of vision is 180 degrees in such a way that every interior po…
Schurifying quasi-hereditary algebras
Alexander Kleshchev, Robert Muth
We define and study new classes of quasi-hereditary and cellular algebras which generalize Turner's double algebras. Turner's algebras provide a local description of blocks of symm…
Generalized Schur algebras
Alexander Kleshchev, Robert Muth
We define and study a new class of bialgebras, which generalize certain Turner double algebras related to generic blocks of symmetric groups. Bases and generators of these algebras…
Based quasi-hereditary algebras
Alexander Kleshchev, Robert Muth
A notion of a split quasi-hereditary algebra has been defined by Cline, Parshall and Scott. Du and Rui describe a based approach to split quasi-hereditary algebras. We develop this…
Super RSK correspondence with symmetry
Robert Muth
Super RSK correspondence is a bijective correspondence between superbiwords and pairs of semistandard supertableaux. Such a bijection was given by Bonetti, Senato and Venezia, via…
Affine zigzag algebras and imaginary strata for KLR algebras
Alexander Kleshchev, Robert Muth
KLR algebras of affine ADE types are known to be properly stratified if the characteristic of the ground field is greater than some explicit bound. Understanding the strata of this…
Stratifying KLR algebras of affine ADE types
Alexander Kleshchev, Robert Muth
We generalize imaginary Howe duality for KLR algebras of affine ADE types, developed in our previous paper, from balanced to arbitrary convex preorders. Under the assumption that t…
Graded skew Specht modules and cuspidal modules for Khovanov-Lauda-Rouquier algebras of affine type A
Robert Muth
Kleshchev, Mathas and Ram (2012) gave a presentation for graded Specht modules over Khovanov-Lauda-Rouquier algebras of finite and affine type A. We show that this construction can…
Imaginary Schur-Weyl duality
Alexander Kleshchev, Robert Muth
We study imaginary representations of the Khovanov-Lauda-Rouquier algebras of affine Lie type. Irreducible modules for such algebras arise as simple heads of standard modules. In o…