Work

Ideals, representations and a symmetrised Bernoulli triangle

Year: 2025

Type: article

Abstract: We study some representations of symmetric groups arising from a certain ideal in the coordinate ring of affine n -space. Our results give graded and representation-theoretic enhancements of the sequence of numbers $$c_n=1 + (n-2)\cdot 2^{n-1}$$ c n = 1 + ( n - 2 ) · 2 n - 1 , sequence 337 of the Online Encyclopaedia of Integer Sequences, involving a symmetric version of the Bernoulli triangle.

Source: Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry

DOI: 10.1007/s13366-025-00796-9

Authors: Nsibiet E. Udo, Praise Adeyemo, Balázs Szendrői, Stavros Argyrios Papadakis

Institutions: University of Calabar, University of Ibadan, University of Vienna, University of Ioannina

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funder: Universität Wien