9 citations · 18 across the 10 of their papers we have counts for
10 papers
Structure and geometry of the tableaux algebra
Spencer Daugherty, Nicolle González, Bárbara Muniz +3
We study the monoid algebra of semistandard Young tableaux, which coincides with the Gelfand--Tsetlin semigroup ring when . Among…
Realizing compatible pairs of transfer systems by combinatorial -operads
David Chan, Myungsin Cho, David Mehrle +4
We investigate how the notions of pairings of operads of May and compatible pairs of indexing systems of Blumberg--Hill relate via the correspondence between indexing systems and $…
Locally recoverable algebro-geometric codes from projective bundles
Konrad Aguilar, Angelynn Álvarez, René Ardila +3
A code is locally recoverable when each symbol in one of its code words can be reconstructed as a function of other symbols. We use bundles of projective spaces over a line to…
Universal support for triangulated categories
Paul Balmer, Pablo S. Ocal
We revisit a result of Gratz and Stevenson on the universal space that carries supports for objects of a triangulated category, in the absence of a tensor product.
Symmetric monoidal equivalences of topological quantum field theories in dimension two and Frobenius algebras
Pablo S. Ocal
We show that the canonical equivalences of categories between 2-dimensional (unoriented) topological quantum field theories valued in a symmetric monoidal category and (extended) c…
A compositional account of motifs, mechanisms, and dynamics in biochemical regulatory networks
Rebekah Aduddell, James Fairbanks, Amit Kumar +3
Regulatory networks depict promoting or inhibiting interactions between molecules in a biochemical system. We introduce a category-theoretic formalism for regulatory networks, usin…
A Primer on Twists in the Noncommutative Realm Focusing on Algebra, Representation Theory, and Geometry
Pablo S. Ocal, Kenta Ueyama, Padmini Veerapen
We review several techniques that twist an algebra's multiplicative structure. We first consider twists by an automorphism, also known as Zhang twists, and we relate them to 2-cocy…
A dichotomy between twisted tensor products of bialgebras and Frobenius algebras
Pablo S. Ocal, Amrei Oswald
We endow twisted tensor products with a natural notion of counit and comultiplication, and we provide sufficient and necessary conditions making the twisted tensor product a counit…
Homotopy liftings and Hochschild cohomology of some twisted tensor products
Pablo S. Ocal, Tolulope Oke, Sarah Witherspoon
The Hochschild cohomology of a tensor product of algebras is isomorphic to a graded tensor product of Hochschild cohomology algebras, as a Gerstenhaber algebra. A similar result ho…
Gerstenhaber brackets on Hochschild cohomology of general twisted tensor products
Tekin Karadag, Dustin McPhate, Pablo S. Ocal +2
We present techniques for computing Gerstenhaber brackets on Hochschild cohomology of general twisted tensor product algebras. These techniques involve twisted tensor product resol…