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Tag combinatorics

The Fascinating World of r-Dyck Paths, r-Parking Functions, and r-Tamari Lattices

Combinatorics, the branch of mathematics that deals with counting, arrangement, and combination of objects, is a field that often intimidates those who are not well-versed in its complexities. However, recent research has shed light on three fascinating objects within combinatorics:… Continue Reading →

A Universal Cycle for Permutations: Exploring the Conjecture of Chung, Diaconis, and Graham

Welcome to this in-depth exploration of the concept of a universal cycle for permutations, a fascinating research topic that has recently made significant strides. In this article, we will delve into the research article titled “Universal cycles for permutations” by… Continue Reading →

Rock Blocks in Representation Theory: Exploring Symmetry and Structure

In the field of representation theory, particularly in relation to symmetric groups, Hecke algebras, q-Schur algebras, and finite general linear groups, a fascinating concept called “Rock blocks” has emerged. These blocks, first observed by R. Rouquier, have captivated researchers due… Continue Reading →

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