Superbinomial coefficients

DOI10.1007/s10801-021-01081-3zbMath1489.05156OpenAlexW4200614480MaRDI QIDQ2137074

Kathrin Maurischat, Rainer Weissauer

Publication date: 16 May 2022

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10801-021-01081-3

zbMATH Keywords

irreducible representationsDelannoy numberstriangle numbersLie supermodulesinteger values of polynomialssummation operators

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10)

Uses Software

• OEIS

Cites Work

• Unnamed Item
• A generalized neighborhood for cellular automata
• Kazhdan-Lusztig polynomials and character formula for the Lie superalgebra \({\mathfrak {gl}}(m\mid n)\)
• Character and dimension formulae for general linear superalgebra
• Catalan, Motzkin, and Riordan numbers
• A local Riemann hypothesis. I
• Pieri type rules and \(GL(2|2)\) tensor products
• Characters of typical representations of classical lie superalgebras
• A Weyl-Type character formula for PDC modules of gl(m|n)
• Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra 𝔤𝔩(𝔪|𝔫)
• Cohomological Tensor Functors on Representations of the General Linear Supergroup

This page was built for publication: Superbinomial coefficients