# Algebraic structures and combinatorial models

**Type:** Topics  
**Canonical URL:** https://scholariq.org/topics/algebraic-structures-and-combinatorial-models/

## Facts

| Field | Value |
| --- | --- |
| Description | This cluster of papers explores the interplay between cluster algebras and triangulated categories, with a focus on derived categories, quiver representations, and homological dimensions. It also delves into topics such as quantum groups, Calabi-Yau algebras, modular tensor categories, and their connections to conformal field theory and Kac-Moody algebras. |
| Domain | Physical Sciences |
| Field | Mathematics |
| OpenAlex ID | t10287 |
| Works | 13 |

## Topic papers all

- [Higher-Dimensional Algebra and Topological Quantum Field Theory](https://scholariq.org/papers/higher-dimensional-algebra-and-topological-quantum-field-theory/)
- [Higher-Dimensional Algebra III.n-Categories and the Algebra of Opetopes](https://scholariq.org/papers/higher-dimensional-algebra-iii-n-categories-and-the-algebra-of-opetopes/)
- [From Finite Sets to Feynman Diagrams](https://scholariq.org/papers/from-finite-sets-to-feynman-diagrams/)
- [Quantum invariants of 3-manifolds via link surgery presentations and non-semi-simple categories](https://scholariq.org/papers/quantum-invariants-of-3-manifolds-via-link-surgery-presentations-and-non-semi/)
- [The spectral dimension of 2D quantum gravity](https://scholariq.org/papers/the-spectral-dimension-of-2d-quantum-gravity/)
- [Exact three-wave solution for higher dimensional KdV-type equation](https://scholariq.org/papers/exact-three-wave-solution-for-higher-dimensional-kdv-type-equation/)
- [An equivariant bijection between irreducible Brauer characters and weights for Sp(2n,q)](https://scholariq.org/papers/an-equivariant-bijection-between-irreducible-brauer-characters-and-weights-for/)
- [RECONSTRUCTION OF BINARY RELATIONS FROM THEIR RESTRICTIONS OF CARDINALITY 2, 3, 4 and (<i>n</i> ‐ 1) II](https://scholariq.org/papers/reconstruction-of-binary-relations-from-their-restrictions-of-cardinality-2-3-4-2/)
- [Representations of non-finitely graded Heisenberg-Virasoro type Lie algebras](https://scholariq.org/papers/representations-of-non-finitely-graded-heisenberg-virasoro-type-lie-algebras/)
- [On the Göllnitz-Gordon-Andrews identities via commutative algebra](https://scholariq.org/papers/on-the-gollnitz-gordon-andrews-identities-via-commutative-algebra/)
- [$J$-generalization of the Rogers-Ramanujan-Gordon identities via commutative algebra](https://scholariq.org/papers/j-generalization-of-the-rogers-ramanujan-gordon-identities-via-commutative/)
- [A proof of the Göllnitz-Gordon-Andrews identities via commutative algebra](https://scholariq.org/papers/a-proof-of-the-gollnitz-gordon-andrews-identities-via-commutative-algebra/)
- [$J$-generalization of the Rogers-Ramanujan-Gordon identities via commutative algebra](https://scholariq.org/papers/j-generalization-of-the-rogers-ramanujan-gordon-identities-via-commutative-2/)

## Topic primary papers

- [Representations of non-finitely graded Heisenberg-Virasoro type Lie algebras](https://scholariq.org/papers/representations-of-non-finitely-graded-heisenberg-virasoro-type-lie-algebras/)
- [On the Göllnitz-Gordon-Andrews identities via commutative algebra](https://scholariq.org/papers/on-the-gollnitz-gordon-andrews-identities-via-commutative-algebra/)
- [A proof of the Göllnitz-Gordon-Andrews identities via commutative algebra](https://scholariq.org/papers/a-proof-of-the-gollnitz-gordon-andrews-identities-via-commutative-algebra/)

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Source: ScholarIQ — public research metadata, principally OpenAlex. See https://scholariq.org/sources/ for provenance and https://scholariq.org/methodology/ for what these figures mean.