Monoidal categories, representation gap and cryptography
From MaRDI portal
Publication:6151519
DOI10.1090/btran/151arXiv2201.01805OpenAlexW4391403772WikidataQ128985616 ScholiaQ128985616MaRDI QIDQ6151519
Daniel Tubbenhauer, Maithreya Sitaraman, Mikhail G. Khovanov
Publication date: 12 February 2024
Published in: Transactions of the American Mathematical Society, Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.01805
Cryptography (94A60) Representation of semigroups; actions of semigroups on sets (20M30) Monoidal categories, symmetric monoidal categories (18M05)
Cites Work
- Representation theory of finite monoids
- Motzkin monoids and partial Brauer monoids
- Diagram monoids and Graham-Houghton graphs: idempotents and generating sets of ideals
- Categories generated by a trivalent vertex
- Diagrammatics for Soergel categories
- Partition algebras.
- A categorification of quantum \(\mathfrak{sl}(2)\)
- An algebra related to the orthogonal group
- Combinatorial topology and the global dimension of algebras arising in combinatorics
- Group-based cryptography
- On the Soergel bimodule category.
- A remark on the character-degrees of some \(p\)-groups
- Complex representations of finite monoids. II: Highest weight categories and quivers
- An algebraic method for public-key cryptography
- Simple modules for Temperley-Lieb algebras and related algebras
- Congruence lattices of finite diagram monoids
- \(\text{sl}(3)\) link homology
- Canonical bases for the Brauer centralizer algebra
- Topological quantum field theories derived from the Kauffman bracket
- Cellular algebras
- Spiders for rank 2 Lie algebras
- Effective dimension of finite semigroups.
- Set-partition tableaux and representations of diagram algebras
- Diagrammatic categorification of the Chebyshev polynomials of the second kind
- Relative cellular algebras
- Finitary birepresentations of finitary bicategories
- A closed formula for the evaluation of foams
- Standard modules, induction and the structure of the Temperley-Lieb algebra
- How to categorify the ring of integers localized at two
- Two general schemes of algebraic cryptography
- A linear decomposition attack
- Almost cellular algebras
- Monoidal categories and topological field theory
- A categorification of quantum \(\text{sl}(n)\)
- Uniform expansion bounds for Cayley graphs of \(\text{SL}_2(\mathbb F_p)\).
- Classification problems in 2-representation theory
- Cellular structures using \(U_q\)-tilting modules
- Combinatorial group theory and public key cryptography
- Motzkin algebras
- \(\mathcal L\)- and \(\mathcal R\)-cross-sections in the Brauer semigroup.
- Faithful representations of p-groups at characteristic p. I
- Homological dimension in semigroup algebras
- Minimal dimension of faithful representations for \(p\)-groups
- On algebras which are connected with the semisimple continuous groups
- On the structure of semigroups
- Web calculus and tilting modules in type \(C_2\)
- The two-color Soergel calculus
- A Survey of Graphical Languages for Monoidal Categories
- A diagrammatic approach to categorification of quantum groups II
- Maximal representation dimension of finite p-groups
- Character degrees and nilpotence class of finite 𝑝-groups: An approach via pro-𝑝 groups
- Quivers of monoids with basic algebras
- Quasirandom Groups
- A diagrammatic approach to categorification of quantum groups I
- On the irreducible representations of a finite semigroup
- The combinatorics of Harish-Chandra bimodules.
- Computer construction of the Monster
- Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134)
- Functoriality of colored link homologies
- SEMISIMPLICITY OF HECKE AND (WALLED) BRAUER ALGEBRAS
- Quivers for 𝑆𝐿₂ tilting modules
- THE CENTER OF SL2 TILTING MODULES
- Presentations for Temperley–Lieb Algebras
- Cell complexes, poset topology and the representation theory of algebras arising in algebraic combinatorics and discrete geometry
- Introduction to Soergel Bimodules
- Trihedral Soergel bimodules
- Tropical cryptography II: Extensions by homomorphisms
- Two-color Soergel Calculus and Simple Transitive 2-representations
- Categorifications of the polynomial ring
- Tensor Categories
- Homological algebra in characteristic one
- Tropical Cryptography
- A Practical Attack on a Braid Group Based Cryptographic Protocol
- Ideal Structure of the Kauffman and Related Monoids
- Soergel calculus
- The Minimal Degrees of Faithful Representations of the Sporadic Simple Groups and their Covering Groups
- Braid groups are linear
- Algebraic aspects of cryptography. With an appendix on hyperelliptic curves by Alfred J. Menezes, Yi-Hong Wu, and Robert J. Zuccherato
- Braid groups are linear
- \(\mathrm{SL}_2\) tilting modules in the mixed case
- The modular Temperley-Lieb algebra
- Handlebody diagram algebras
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Monoidal categories, representation gap and cryptography