Mathematics - Representation Theory

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Functional Analysis The Hidden Geometry of Crystal Structures

Explore the fascinating world of crystallography groups and their significance in science.

Frankie Chan, Ellen Weld

2025-04-19T12:21:50+00:00 ― 6 min read

Latest Articles

Representation Theory The Drama of Representation Theory

Explore the captivating characters and plots within representation theory.

Clifton Cunningham, Sarah Dijols, Andrew Fiori

2025-03-30T23:31:10+00:00 ― 5 min read

Representation Theory Interconnections in the Geometric Whittaker Model

Discover the fascinating links between algebraic geometry and representation theory.

Ashutosh Roy Choudhury, Tanmay Deshpande

2025-03-30T07:32:10+00:00 ― 5 min read

Combinatorics The Fascinating World of Algebraic Combinatorics

Discover the joy of combining algebra and combinatorics in mathematics.

Florent Hivert

2025-03-29T15:33:10+00:00 ― 6 min read

Rings and Algebras Understanding the Length of Algebras

Explore the significance and complexity of algebra lengths in mathematics.

M. A. Khrystik

2025-03-27T04:56:50+00:00 ― 7 min read

Quantum Algebra Vertex and Gorenstein Algebras: A Deep Dive

Exploring the intriguing links between vertex algebras and Gorenstein algebras.

Alex Keene, Christian Soltermann, Gaywalee Yamskulna

2025-03-21T05:05:50+00:00 ― 5 min read

Representation Theory Connecting Algebra and Geometry: Associated Varieties

Discover the role of associated varieties in bridging different math disciplines.

Hengjia Zhang, Xiaoping Xu

2025-03-20T15:46:40+00:00 ― 6 min read

Representation Theory The Intricacies of Triangulated Categories

Dive into the world of triangulated categories and their significance in mathematics.

Janina C. Letz, Julia Sauter

2025-03-19T21:07:50+00:00 ― 6 min read

Representation Theory The Dance of Groups and Representations

Exploring the interplay between groups and their representations in mathematics.

Nariel Monteiro, Alexander Stasinski

2025-03-16T07:53:10+00:00 ― 5 min read

Symplectic Geometry The Magic of Mirror Symmetry in Math

Discover the hidden connections in mathematics through mirror symmetry and its fascinating concepts.

Yanki Lekili, Jenia Tevelev

2025-03-12T23:58:10+00:00 ― 5 min read

Representation Theory Quantum Cluster Algebras: A New Perspective

Dive into the fascinating world of quantum cluster algebras and their connections.

Fan Xu, Yutong Yu

2025-02-28T18:56:30+00:00 ― 6 min read

Representation Theory Unraveling Module Theory: A Deeper Look

Dive into the fascinating world of module theory and its key concepts.

Lorna Gregory

2025-02-27T05:38:50+00:00 ― 6 min read

Machine Learning The Rise of Group Equivariant Neural Networks

Discover how these networks transform data handling with symmetries.

Edward Pearce-Crump, William J. Knottenbelt

2025-02-22T02:30:48+00:00 ― 6 min read

Combinatorics Crystals in Mathematics: A Deep Dive

Discover the fascinating world of mathematical crystals and their role in Lie algebras.

Álvaro Gutiérrez

2025-02-18T08:32:10+00:00 ― 8 min read

Algebraic Topology The Intricacies of Diagram Algebras

A look into the fascinating world of diagram algebras and cohomology.

Andrew Fisher, Daniel Graves

2025-02-17T11:13:30+00:00 ― 5 min read

Representation Theory Understanding Weight Multiplicities in Lie Algebras

A deep dive into weight multiplicities and their role in Lie algebras.

Portia X. Anderson, Esther Banaian, Melanie J. Ferreri

2025-02-11T08:42:40+00:00 ― 5 min read

Representation Theory Unraveling the Secrets of Compact Nilpotent p-adic Lie Groups

Discover the fascinating world of compact nilpotent p-adic Lie groups in mathematics.

J. P. Velasquez-Rodriguez

2025-02-10T14:03:50+00:00 ― 6 min read

Representation Theory Connecting Algebra and Physics: Verlinde Rings and Cluster Algebras

Explore the ties between Verlinde rings and cluster algebras in modern mathematics.

Chul-hee Lee, Jian-Rong Li, Euiyong Park

2025-02-10T05:13:10+00:00 ― 5 min read

Algebraic Geometry The Fascination of Weyl Groups in Mathematics

Explore the significance and applications of Weyl groups in understanding symmetry.

Sebastian Debus, Tobias Metzlaff

2025-02-07T16:48:10+00:00 ― 7 min read

Representation Theory The Fascinating World of Metaplectic Groups

Dive into the complexities of metaplectic groups and their dualizing involutions.

Kumar Balasubramanian, Sanjeev Kumar Pandey, Renu Joshi

2025-02-05T06:11:50+00:00 ― 7 min read

Representation Theory Unraveling Kac-Moody Algebras: A Deep Dive

Discover the intricate world of Kac-Moody algebras and their significance.

Xinyu Li

2025-01-31T08:59:10+00:00 ― 6 min read

Representation Theory Connecting Tempiric Representations and Operator K-Theory

Explore the connections between tempiric representations and operator K-theory in mathematics.

Jacob Bradd, Nigel Higson, Robert Yuncken

2025-01-31T00:59:40+00:00 ― 6 min read

Combinatorics The Hidden World of Hurwitz Numbers

Discover the fascinating role of Hurwitz numbers in math and science.

Nitin Kumar Chidambaram, Maciej Dołęga, Kento Osuga

2025-01-30T12:52:18+00:00 ― 4 min read

Quantum Algebra Decoding Circuit Algebras: The Math Behind Complexity

Explore circuit algebras and their role in understanding knots and technology.

Sophie Raynor

2025-01-24T22:28:50+00:00 ― 5 min read

Representation Theory The Allure of Quasi-Invariant Polynomials

Discover the fascinating world of quasi-invariant polynomials and their significance.

Frank Wang, Eric Yee

2025-01-22T19:52:00+00:00 ― 7 min read

Representation Theory Matrix-Spherical Functions and Physics

Explore the link between matrix-spherical functions and physical theories.

Philip Schlösser, Mikhail Isachenkov

2025-01-22T15:23:50+00:00 ― 6 min read

High Energy Physics - Theory Branes and DAHA: A Cosmic Connection

Discover the fascinating link between branes and double affine Hecke algebra.

Junkang Huang, Satoshi Nawata, Yutai Zhang

2025-01-22T14:36:04+00:00 ― 5 min read

Differential Geometry Unraveling Ideals in Lie Algebras

A light-hearted look at ideals in Lie algebras and their significance.

I. Ermeidis, M. Jotz

2025-01-22T09:12:40+00:00 ― 6 min read

Representation Theory The Intrigue of Stiefel-Whitney Classes and Symplectic Groups

Unravel complex math concepts with Stiefel-Whitney classes and symplectic groups.

Neha Malik, Steven Spallone

2025-01-19T06:37:20+00:00 ― 6 min read