Mathematics - Representation Theory

Explore the connections between quantum difference equations, varieties, and geometry.

This study explores the role of bimodules in group algebras and modular representation theory.

This article explores blocks of groups with a focus on p-solvable structures and Broué's conjecture.

An overview of clusters, torsion classes, and their significance in algebra.

A look into the Twisted Group Ring Isomorphism Problem in group theory.

Explore how Hilbert schemes connect geometry with particle physics concepts.

Examining the connections of generalized Steinberg representations and their implications in mathematics.

A look into loop Grassmannians and their relation to quiver gauge theory.

Exploring the significance of the Kac-Weyl character identity in mathematics and physics.

Exploring the links and implications of Koszul duality in mathematics.

An analysis of Hermitian type Lie groups and their significance in representation theory.

Exploring the connections between geometry, algebra, and physics through mirror symmetry.

A look into the study of quivers and their significance in mathematics.

A simplified overview of Lie algebras and their role in integrable systems.

Study of groups through matrices and their properties.

An overview of group algebras, circulant rings, and modular representation theory.

Researchers uncover unexpected properties in defect McKay-Thompson series, linking math and physics.

Explore the role of characters in analyzing group structures and their properties.

Chevalley groups connect algebra and geometry through Lie algebras.

A simplified view of Seshadri stratifications and Young-tableaux in algebraic geometry.

Exploring the Macdonald piece polynomial and its connections to combinatorial conjectures.

This article explores weight multiplicities and their connections in algebra and representation theory.

A study of Lie superalgebras and their significance in mathematics and physics.

Examining random unitary matrices and their implications in representation theory.

Explore the role of vertex operator algebras in mathematics and physics.

Research on operators in nilpotent Lie groups reveals new insights in harmonic analysis.

Exploring the relationships between quantum field theories and mathematical frameworks.

Learn about important types of varieties in algebraic geometry.

This article reviews the rigidity properties of simple modules within algebraic groups.

Research on Legendrian links and Lagrangian fillings reveals important geometric relationships.

An overview of Macdonald identities and their significance in root systems.

This article discusses higher spin representations in Kac-Moody algebras and their significance.

A look into gentle and locally gentle algebras and their properties.

Learn about Lie algebras, Cartan subalgebras, and their relationships through Kac diagrams.

A look into Terwilliger algebras and their role in association schemes.

A detailed exploration of Camina groups and their algebraic properties.

An overview of symmetric functions, their properties, and key applications in mathematics.

A look into varieties, stratifications, and monomial theories explained simply.

Exploring the structure and significance of diagram algebras in mathematics.

An overview of commutative algebras and their applications in advanced mathematical contexts.