Symmetric Functions

SymCat is an innovative online catalog dedicated to symmetric functions and their diverse applications in algebraic combinatorics. Established by Per Alexandersson, the platform emerged from a passion to provide a comprehensive overview of symmetric functions, inspired by notable works such as Ian G. Macdonald's “Schur functions: Theme and variations.” Since its inception in February 2019, the website has rapidly expanded to cover around 800 topics, supported by over 1,200 references, making it an essential resource for researchers in the field.

SymCat prioritizes providing clear definitions, references, and insights into open problems and conjectures, facilitating easier access for new researchers. The site features valuable overviews of key formulas, including Jacobi–Trudi identities, and encourages community contributions to enrich its content. Run on a straightforward, user-friendly interface, SymCat is designed to be accessible on various devices, ensuring that users can explore the wealth of information available at any time. For those interested in supporting the site, donation options are also provided.